" NATL INST. OF STAND & TECH

NBS

Publications

A111Q5 ^fi3350

o NBS TECHNICAL NOTE 1052

REVISED (June 1982)

U.S. DEPARTMENT OF COMMERCE / National Bureau of Standards
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An Accuracy Statement for a Facility Used to

Calibrate Static Pressure Transducers and

Differential Pressure Transducers at High

Base Pressure

e

National Bureau of Standards

Library, E-01 Admin; Bldg.

OCT 2 5 1982

CiUoo

C. F. Sindt

J. F. LaBrecque .u^7s:3

no, iQ^i

Thermophysical Properties Division

National Engineering Laboratory

National Bureau of Standards

Boulder, Colorado 80303

Sponsored by:

The American Gas Association

1515 Wilson Blvd. Arlington, VA 22209

and

The Gas Research Institute

10 West 35th Street Chicago, IL 60616

U.S. DEPARTMENT OF COMMERCE, Malcolm Baldrige, Secretary

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director

Revised June 1982
National Bureau of Standards Technical Note 1052 (Revised)

Nat. Bur. Stand. (U.S.), Tech. Note 1052 (Revised), 44 pages (June 1982)

CODEN: NBTNAE

U.S. GOVERNMENT PRINTING OFFICE

WASHINGTON: 1982

f
An Accuracy Statement for a Facility Used to Calibrate Static Pressure

Transducers and Differential Pressure Transducers at High Base Pressure

C. F. Sindt and J. F. LaBrecque

National Bureau of Standards

Boulder, Colorado 80303

A facility has been developed to calibrate pressure transducers

that are used in the NBS Gas Mass Flow Facility. Both static and

differential pressure transducers can be calibrated. An air dead

weight tester is the standard for static transducers in the range from

3.8 to 4.5 MPa. An air dead weight tester is also the standard for

the differential pressure transducers in the range of 2.5 kPa to 50

kPa; a cistern manometer provides the transfer for the standard to a base operating pressure of 4.1 MPa. The calibration of the air dead

weight gage by NBS-Washington contributes ^65 ppm to the uncertainty

of the calibration of the static pressure transducers. The

calibration of the air dead weight gage adds -69 ppm to the

calibration of the cistern manometer. This, plus the uncertainties in

the high pressure corrections to the cistern manometer and our measurement of the mercury temperature, contributes -690 ppm to the

uncertainty of the differential pressure transducer calibrations.

Key Words: calibration; differential manometer; piston gage; pressure

difference; pressure transducer; standards.

1. Introduction

This accuracy statement describes the equipment used for differential and

static pressure transducer calibrations and the tracibility of the accuracy of

this equipment to the National Bureau of Standards. The purpose of the pressure

calibration facility is to calibrate both the static pressure transducers and

the differential pressure transducers used in the Gas Mass Flow Reference Facility. The calibration facility is designed to calibrate the transducers in place

using the transducer signal conditioning equipment as used for data gathering in

the flow facility. The equipment included in the calibration of the transducer

and its signal conditioning system is a transducer, an electrical power supply

for the transducer, an analog-to-digital voltage converter, a channel

multiplexer and a mini -computer.

The pressure range of the calibration facility to calibrate the static

pressure transducers is 3.8 (550 psi) to 4.27 MPa (620 psi), and an air dead

weight tester provides the calibration standard. The differential pressure

transducers are calibrated with a mercury manometer which can be used at base

pressures as high as 34 MPa. For our use, the base pressure at 4.1 MPa (600
psi) is applied to both sides of the mercury manometer and the differential

pressure transducer, then the desired differential is added to the base

pressure^ These differential pressure transducers are calibrated in the range

of 2.5 kPa (10 in. H2O) to 50 kPa (200 in. H2O). We have examirred

experimentally the accuracy to which this manometer can calibrate these

transducers.

2. Summary

By using an air dead weight gage as the transfer standard between

NBS-Washington and NBS-Boulder, we have been able to establish a calibration

facility that contributes no more than + 690 ppm of systematic error to the

total uncertainty of the calibration of differential pressure transducers at 50

kPa and no more than *_ 65 ppm to that of the static pressure transducers. The

total uncertainty of measurements made with a pressure transducer also contains

the uncertainty in the correction relationship between readings made on the

transducer and the corresponding readings of the standard, plus the random

imprecision of the pressure transducer. In examples given in the text of actual

calibrations of pressure transducers, a static pressure transducer is calibrated

with a total uncertainty of _+ 570 ppm at 4.1 MPa, and a differential pressure

transducer is calibrated with a total uncertainty of j|^ 1254 ppm at 50 kPa. The

differential pressure transducer calibration uses a cistern-type mercury

manometer, which is calibrated with the air dead weight gage. The direct

calibration of the cistern manometer is made at ambient pressure; the correction

at the base pressure of 4.1 MPa has been verified by using two air dead weight

gages, one as a reference and the calibrated gage as the measuring device.

3. Static Pressure Transducer Calibration Facility

Some early work was done using Bourdon tube gages to calibrate the static

pressure transducers, however, these gages were deemed Inadequate and have been

replaced by an air dead weight tester.

The dead weight gage uses a precision ground piston in a mating cylinder as the pressure measuring device. Weights are added to the piston for measurement

of various pressures. The piston has an extended stem at the top end to

accommodate the weights. The bottom end of the cylinder connects via a tube to

the Instrument that Is to be calibrated. Gas Is introduced Into the dead weight J
gage from a clean gas source until the piston rises in the cylinder. As a minute amount of gas flows past the piston it drops slowly with time, but the

pressure^ is maintained as the piston falls. The piston is rotated either

manually or via a built-in motor drive. Rotation of the piston eliminates

static friction between the piston and cylinder, so the piston is floating on a gas column and is lubricated at the cylinder walls with a gas film. The level

of pressure measured is set by the weight of the piston and the weights added

to it. The dead weight gage thereby uses the basic measurement units of mass

and piston area to measure pressure. The air dead weight gage used for our calibrations has two piston-cylinder sizes. The smaller piston has a pressure

range to 4.27 MPa (620 psi). The larger piston measures pressure to 107 kPa

{15.5 psi). The smaller piston is used to calibrate the static pressure

transducers before each day of tests. The larger piston is used at ambient base

pressure to calibrate the cistern manometer. This in turn is used to calibrate

the differential pressure transducers before each day's tests.

Both of the piston-cylinder assemblies were calibrated by the National

Bureau of Standards' National Measurement Laboratory at Gaithersburg, MD. The

calibrations determine the effective area of each piston at the specified test

conditions. The specified conditions and the calibrations are included as Appendix A. As described in Appendix A, a number of models were fit to the

calibration data. The model

Force = Area x Pressure

has been selected as adequate for both piston assemblies to determine the

effective piston area. Also note that the ranges reported in Appendix A are slightly less than we have available on our gage. This discrepancy resulted

because NBS-Gaithersburg did not calibrate the weight set and, therefore, was

not aware of the weights available in our set. Our weight set was calibrated at

the State of Colorado Metrology Laboratory, Denver, CO. The report of this

calibration is included as Appendix B. Note that the masses are reported as apparent mass versus brass. This calibration technique of using apparent mass versus brass corrects for the air buoyancy of weights of unknown density,

provided we use this mass and the air buoyancy correction for brass to calculate

the force on the piston of the air dead weight gage. The air buoyancy

correction is then
1 - i

b

where a is the local air density and b is the density of the standard brass

weight which is 8.4 g/cm^.

Besides the air bouyancy correction for the weights, several other

corrections must be considered for each data point for accurate pressure

measurement using the dead weight gage. They include corrections for the

thermal expansion of the piston and cylinder, corrections for local gravity,

and corrections for the elasticity of the piston and cylinder. As noted in

Appendix A, these corrections have been applied to the calibrations at

NBS-Gaithersburg. The thermal expansion correction is made for each gage

reading by measuring the gage temperature using a built in thermometer and

applying the correction using the coefficient of thermal expansion of the piston

and cylinder material. The gravity correction is constant and is applied to

each reading using the local acceleration of gravity. The piston and cylinder

were calibrated at NBS at pressure so any elastic deformation is, in effect,

included in the calibration. Table I gives the error uncertainties for these

corrections.

Having calibrated a pressure transducer at, say, a fixed set of conditions

against the air dead weight gage, the total uncertainty of the average of n measurements made with the calibrated transducer at this same set of conditions

is defined here as*

Total Uncertainty Limit = SEg + 2.576 (<^/s + *ym)

where SEg is the systematic error limit for the standard, o^ is the standard

deviation of the correction of the readings of the calibrated meter to those of

the standard, a^ is the standard deviation for readings made with the

calibrated gage, n is the number of readings made at the fixed. set of conditions

and 2.576 is the 99.5 percentile of the standard normal distribution. The a^

and oq are not added in quadrature because the correction is now fixed and its

uncertainty becomes a systematic error for future measurements using the

calibrated gage.

Most often oq and oq are unknown and must be estimated from the data,

that is, oq is estimated from the data used to calibrate the transducer and

4 I
oq is estimated from pressure measurements made with the transducer. Then the

total uncertainty limit (T.U.L.) for an average of n measurements made with the

calibrated tranducer is defined as:

T.U.L. = SEs + 2.576 (A^^ + B^^ rff)

^

-_j ^ where Or. and oq are the estimated standard deviations, and A and B are factors

greater than 1 which increase the limit in proportion to our uncertainty of the

estimates. These values of A and B decrease toward 1 as the number of

observations used in making each of the estimates increases. The value of

2.576A is taken from the table of the 99.5 percentiles of the student-t

statistics and B is derived using the table of the 0.01 percentiles of the

chi-square distribution. Both A and B are functions of the number of

observations used. See NBS Handbook 91 [1].

For the high pressure piston, SEg equals 57 ppm for the piston area, plus

3 ppm uncertainty for the weights, plus 5 ppm uncertainty for the gage

corrections (65 ppm). The two flow system static pressure transducers are calibrated using a first degree least squares fit to six replicated pressure

values (12 points). The same values, to a close approximation, are used for

each calibration, and the values are in the range of 3.8 MPa to 4.27 MPa. From

our experience with the two static pressure transducers in over a dozen

calibrations, we can ascribe for our example the nominal values of 100 ppm and

200 ppm to the estimates of oq and <tc, respectively. We use the value A = 1.2

because of using 12 points in each calibration, and the value B = 1.2 because we have over a dozen such calibrations (i.e. over 100 points). In our example of

how these numbers are used, we consider an average of n=10 values, then

T.U.L « [65 + 2.576 (1.2 * 100 + 1 .2 * 200/ /T^] ppm

« 570 ppm (.057% at 600 psi)

The estimates of oX and a^ were obtained from linear least squares fits of the

transducer data to the corresponding air dead weight data. The uncertainty in

the calibration of the air dead weight gage, SEs=65 ppm, adds little to the

T.U.L.

5
4. Differential Pressure Transducer Calibration Facility

We are using a high-base-pressure cistern-type mercury manometer to

calibrate the transducers used to measure pressure drop across orifice plates.

Using this manometer, the transducers can be calibrated at the base pressures

used during gas flow tests. The range of the differential pressure transducers are 25 kPa (100 in. H2O) and 50 kPa (200 in. H2O). They are both calibrated

using a base pressure of 4.1 MPa (600 psi).

A mercury height sensing element is incorporated on the low pressure side

(tube side) of the cistern manometer. The manometer is constructed of stainless

steel so that the sensing element must detect a magnetic float on the mercury

surface by sensing the change in inductance in a wire coil. The coil sensing

unit is driven by an electrical servo system, and it tracks the float and is

attached to a perforated metal band which pulls around a cog wheel. The wheel

drives a counter that displays the column height in inches. The ratio of the

cistern volume change to the low pressure side or column volume change is 20 to

1; the cistern level change is included in column height display through the

choice of gear ratios in the gear train between the cog wheel and the readout

counter.

Early in the program the manometer became erratic, especially at zero differential pressure. After experimenting with several configurations of

floats, a steel ball 3.2 mm smaller in diameter than the inside diameter of the

manometer tube was selected. All data in the report were obtained using this

float.

When measuring mercury height at high base pressures, corrections must be

applied to the manometer readings relative to low base pressure conditions. A

head correction to the mercury column is required to account for the difference

in density in the two gas columns from the top of the mercury column to the

pressure transducer level. For the maximum mercury displacement used, 387 mm

(207 in. H2O), the correction is -0.03 mm (-0.016 in. H2O). This correction

is linear with height and independent of base pressure if we assume perfect gas

laws apply. At high base pressure, the pressure acting on the manometer tube

expands it slightly. The ratio of wall thickness to the inside diameter of the

cistern is similar to that of the tube and presumably expands a commensurate

amount. At the high base pressures, the gas column in the high pressure side of

the manometer contributes significantly to the mercury column height. This

requires a correction if the true mercury height corresponding to the
differential pressure across the manometer is desired. The corrected mercury

column height hcor ^s

^cor = hobs n-PN/^Hg )

where hobs is the column height read, and p^ and p^g are the

nitrogen gas and mercury liquid densities, respectively, at the temperature and

pressure of the measurement. At the base pressure at which the transducers will

be calibrated, 4.1 MPa, the correction amounts to 0.4% or 1.6 nm (0.86 in.

H2O) for a 400 mm Hg column height.

Compressibility of the mercury, which increases density, must also be

considered when using a mercury manometer at elevated pressure. From NBS

Monograph 8 [2], the density of mercury increases 0.02% at 4.1 MPa. Table 2 gives the uncertainties of the errors associated with these corrections to the

cistern manometer.

The cistern manometer has no redundancy to test for proper operation of the

readout machinery. Therefore, the air dead weight gage with the low pressure

piston is included in the calibration system to provide a means of monitoring

the performance of the cistern manometer.

Use of the air dead weight gage and the low pressure piston does not permit

us to check the high pressure corrections to the cistern manometer at the

desired base pressure. Therefore, we elected to perform a limited number of

calibrations of the cistern manometer at high base pressure by using two air

dead weight gages. When using two air dead weight testers for calibrating a differential pressure device, one instrument is used as the reference or base

pressure measurement and the other instrument measures the base pressure plus

the differential. Since both instruments are first balanced at the base

pressure the reference instrument does not need to be calibrated. Therefore, we used the calibrated instrument for the base plus differential pressure. Because

the instrument must operate at the base plus the desired differential pressure

the high pressure piston must be used in this calibrating scheme. This means

that the precision for this calibration is limited to the precision of the high

pressure piston and not the low pressure piston as is the case for ambient base

pressure calibration.
The method using two air dead weight gages required a null device for zero differential to determine when both gages are at equal pressures, since porting

two gages together produces an unstable condition allowing one gage to fall and

the other to rise. The minuscule difference in pressure produced by elevation

etc. is not enough to produce a stable condition. By using a null device to

separate the two gages, one can experimentally balance both gages at the same pressure. To control the pressures at various gage settings and at the null,

several gas displacers are required. A schematic of the system is shown in

figure 1. Each time one displacer is adjusted the other must also be adjusted

since the mercury in the manometer transfers pressure.

To determine the absolute sensitivity of the dual piston method, we first

raised the system pressure to about 4.1 MPa with the cross-over valve open. We

then determined the null reading for the null measuring transducer. We selected

a base pressure so that the calibrating gage and not the reference gage was balanced using preselected gage weights. Next we closed the crossover valve and

added weights to the reference gage and adjusted the displacers until both gages

were floating and the null device read the same as its previous null point. We

then added an additional 20 mg weight to the reference gage. This was easily

discernable by the null device. Twenty mg weight on the piston gage is

equivalent to 23.4 Pa (0.09 in. H2O) so the balance method should be able to

detect 23.4 Pa, which is 0.05% of the range of the 50 kPa transducer.

The problem with using the dual piston method for high base pressure is

that the random variation over a number of days of measurements made at a nominal pressure is four or five times that for similar measurements made at

atmospheric pressure. This allows us to only check for relatively gross errors

in the high pressure corrections. The random uncertainty for a correction at

41.3 kPa (166 in. H2O), for example, is 55 Pa (+0.22 in. H2O). The number

of days at which measurements were made at high base pressure is five, and some

of the uncertainty is likely due to learning the new procedures. Within this

limitation, however, we see no need for changes in the high pressure corrections

for the cistern manometer.

The cistern manometer is calibrated at ambient base pressure against the

air dead weight tester using nine specified pressure values; these values range

from 2.8 kPa (11 in. H2O) to 52 kPa (207 in. H2O). This ambient base pres- sure calibration is performed in the same manner as the static pressure calibration described in section 3, except that the low pressure piston is used. All

correction to the air dead weight gage values still apply and are considered.

8
The two differential pressure transducers are in turn calibrated against

the cistern manometer at 4.1 MPa base pressure using the sane differential

pressure values; only six of the pressures are used for each transducer (see

Tables 3 'and 4). Before each day's use on the Gas Mass Flow Facility, each

transducer is checked using the cistern manometer. During this operation, each

of the six differential pressure values is used twice for a total of 12 points.

If the calibration of a transducer has not changed significantly in the last n checks, then all 12 n experimental values can be used for the calibration. A

first degree least squares fit is made to the 2 n replicated six pressure

values, and this linear relationship is the new calibration. In computing the

total uncertainty limit of the average of k differential pressure transducer

readings, we have

T.U.L. - SE

^ J. B ^i

p + SEc + 2.576(A^ + B ^Jk)*

where SEp is 60 ppm systematic error for the low pressure piston plus 5 ppm

for corrections, plus 4 ppm uncertainty for the weights used, plus 400 ppm

uncertainty for high pressure and temperature corrections to cistern manometer

(469 ppm) and SEq = 2.576A'am, where am is our estimated standard deviation

for this correction to the cistern manometer reading and A' is as A is described

in the section 3 and depends on the number of readings that have gone into the

estimate am. The values for ^, A, o^, and B are as described in section 3

and are based on the fit to the n calibrations as mentioned above.

Table 3 presents these values for the 100 in. meter and Table 4 does the same for the 200 in. meter. A large part of the systematic error of the

facility is due to the uncertainty in the temperature correction for the mercury

in the cistern manometer. We expect to improve our accuracy of this measurement

in the future.
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Table 1. Uncertainties of Corrections for Air Dead Weight Gage

Uncertainty in Measurement % Error

Temperature + 0.25 K + 0.0004

Gravity + 0.001 cm/s^ + 0.0001

Buoyancy in air + 2.0 x IQ-^g/cm^ + 0.0002

Error in quadrature + 0.0005

Table 2. Uncertainties of High Pressure Corrections for Cistern Manometer

Uncertainty in Measurement % Error

Relative compressibility of Hg + 1.6 x lO'^ + 1.6 x 10-2

Temperature correction for Hg + Z°C + 0.036

Tube expansion j^ 5 x 10-^

Base pressure reading + 69 kPa + 0.0047

Error in quadrature + 0.040

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h- »-l P^ ^O ^ in 00 1— »-t t£) in o CO r-^ .-1 CM O CM 1-t .—1

.-H o «—1

00 r-t CO

"O <^ o o o o o o •o <1 o o o o o o c o o o o o o c o o o o o o <o • • • • • «T3 • • • • • •

lA «/) c c o o

•I— vo in o lO 'd- >£> •^ VO

O "(^ «3- •* ^ 4-> * CO CO CO CO .-H CO l-> — CO CO .-H •d- .-• CM O <: • • • • • • o <c • • • • • • <U .—t .—1 .—1

T-t •—1

.—1

01 «—1 T—1 «—t

t-H »—t 1—1

t- ii- i- o o o o

s~

Q CO CO 00 o u^ cri JQ CO 00 LO «d- CM O^

(U UJ .-H CM ^ 1— o^ .—1

<u Ul ^ »d- cr> "d- <T> CO

4-> I/) o o o o o .—1

+J 00 o o o r-H 1-1 CM

(D o o o o o o <u o o o O o o E • • • • • • E • • • • • o o c c

<o •o 5: o

z: o e <u c 0)

i- o L. TJ

(U T3 OJ "O

••-> <0

M «o

to «rt «-^

•r- •r- O C CM CO r^ 00 O CM O c CM r^

O CJ^ CO in o t—1 r-H O r-i CO »-H o .-H O CO o CM CO

•r— o o o o o o •r— o o o o o o • «-> • • • • • • 4-> • • • • • • XJ U 1 Xi U 1 CO ^ S

a» i. (U &. o f— o

!o o ^ o

<o (0

a.

CO CO

O CO CO lO

p>^ 00 CO .-I in

m

CM *:j- o in o m .—t ,—I CM CM

CO

O CO CO »-H .-t t^ CO in o CO «x> CM O O t—I •—I .—I

T-l CM CO «d- in

13
5. References

[1] Natrella, M. G.; Experimental Statistics. Nat. Bur. Stand. (U.S.) Handb

91;- January 1963.

[2] Brombacker, W. G.; Johnson, D. P.; Cross, J. L.; Mercury Barometers and

Manometers. Nat. Bur. Stand. (U.S.) Monogr. 8; May 1960.

14
APPENDIX A (Part 1

)

APPENDIX A (Part 2)

APPENDIX B

15
APPENDIX A (Part 1)

PAGE I RGO U.S. DEPySRTMENT OF CGMMERCr.

P-777Z NATIONAL BUREAU OF STANDARDS

E2200/52''C6C7 NATIONAL 'MEASUREMENT LAeORATORY

*ASHINGTIC.\I. D.C. 20234

REPORT OF CALIBRATION

ONE DOUBLE -RANGE DEAD WEIGHT PISTON GAGE

SUBMITTED 3Y

N8S-aOULDER

INSTRUMENT RECEIVED: MAY 13,1961 TEST COMPLETED : JUNE 5.1981

REFERENCE J COST CENTER

NG.7732571

DESCRIPTION

NBS lOENTIFICAT ICN NC: ^-lllZB

van'jfacturep: ruska

manufacturer's serial no.: none

manufacturer's type no.: none

WEIGHTS 'aERE not RECEIVED WITH THE INSTRUMENT.

PISTON NO.: V-601 PRESSURE RANGE: 13,7 TU 4137 KPA

CYl INCER NO.: V-6ai CYLINDER TYPE: SIMPLE

NOMINAL SIZE! yE-e SQ. MET'^R

REFERENCE TEMPERATURE. T(S) = 23.0 DEGREES C.

THE INSTRUMENT WAS LEVELED SO THAT THE AXIS OF ROTATION OF THE

PISTON teAS VERTICAL.

ORSERVATICNS WERE VADE WITH MANUAL ROTATION OF THE \fcEIGHTS ON THE

TEST GACE.

THE TEMPERATURE WAS MAINTAINED NEAR 23 DEGREES C AND CORRECTIONS

WERE BASED CN READINGS OF AN ATTACKED THERMOMETER.

NRS WEIGHTS WERE USED IN THE CALIBRATION.

REFERENCE LEVEL AND PISTON PCSITICN, THE REFERENCE LEVEL IS

0.003 METER BELOW THE LOWER EDGE OF THE WEIGHT HANGER.

THE GACE WAS OPERATED WITH THE LOWER EDGE OF THE WEIGHT

HANGER iST ThE LEVEL OF THE INDEX LINE MARKED ON THE

PI STQN/CYLI NOER HEAD ASSEMBLY.

THE INSTRUMENT WAS CALIBRATED WITH NITROGEN

USED AS ThE PRESSURE TRANSMITTING FLUID,

IF A TAFE ERROR IS INCICAT^D.IT SHOULD 3\i ADDED ALGEBRAICALLY,

IN PA, TO THE PRESSURE DEVELOPED BY THE GAGE.

16
PAGE 2

VALUES OF CHARACTtRI STIC PARAMETERS OF THE INSTRUMENT WITH THE E3-

TIVATEO UNCERTAINTY OF THE DETERMINATION ARE GIVEN IN THE FCLLOWING

TABLE(S)« EXPLANATORY INFCRMATICN IS GIV^N IN THE ENCLOSED ••SUPPLEMENT FOR REPORTS CN OHAD \nEIGHT PISTOM GAGES'*.

TO FACILITATE THE DETECTION CF EfKOPS THE WEIGHT NUMBERS. GAGE

TEMPtRATURES, DIRECTION CF POTATION (l.=CW, -l,=CCW) AND JACKET

PRESSURE P-J ARE LISTED FCR ALL OESERV AT IONS • OOSERVATION NUMBERS

101 TC 199 REFE?? TO TFE STANDARD, AND 20 1 TG 2 99 REFER TO THE TEST

INSTRUMENT, MASS AND DENSITY OF THE WEIGHTS ARE LISTED IN THE

WEIGHT TABLE.

OBS. NO , TEMP(C ) ROT P-J{PA) WEIGHT NUMBERS

101 .

1 01.

103.

104.

1 05.

I 06.

107.

I OQ.

23.54 1.

23.55 I .

23.53 1 .

23.56 1.

23.43 1.

23.43 I.

23.42 I

23.44 1 .

201 . 23,32 1 . 202 . 23.39 - 1 . 203. 23.39 1 • 204. 23.42 1.

205. 23.27 1.

206. 23.29 - 1 .

207. 23.30 1 . 2 03. 2 3 .3 1 1 .

0. 400. 428. 526. 527. 529.

530. 531 . 488. 489. 294.

296, 298, 299. 3 01 • 0. 400. 428. 526. 527. 529.

530. 531 . 4 38. 489, 294.

295. 298. 299, 300. 301 . 0. 400. 428. 521 , 522. 52 f . 5 27. 529. 530. 53 1 . 486,

490. 493. 494 . 294. 295,

298.

0. 400. 423, 521 . 522. 523.

524. 526 . 527. 529. 530.

531. 488. 491 . 493. 494 . 295. 297.

0. 400. 4 28. £21, 5 22, 525,

524. 52b. 526. 527. 529.

530. 531 . 488. 491. 49 5 . 294.

0. 400. 4 28. 521. 522. 52 3.

524. 525. 526. bZ7, 529.

530. 5'1. 488. 491. 495.

294.

0. 400. 423. 521. 522. 523.

526. 527. 529. 530. 531 • 486. 490. 494. 294. 297.

2'=.e.

0. 400. 428. 521. 52 6. 52 7.

5 2 9. 530. 531 . 488. 490.

492. 49 3. 295.

0. 600. 552 . 0. 60 0. 552 . 0. 600. 552. 553. 55 4.

0. 600.

5 J 6 • 552. 553. 554. 555 .

0. 600. 552 . 553, 55 4. 555.

556. 557. 558, 559.

0. 600. 552 . 553, 554, 555 . 5 56. 557. 558. 5 5 9,

0. 6 0. 552. 553. 55 4, 555.

0. 600. 55 2. 555.

17
WEIGHTS NOT LISTED IN THE WEIGHT TAELE ARE ASSIGNED NUMBERS 60 TO

699. THCSE USED IN THIS RUN ARE LISTE.:) GN THIS PAGE, THEY INCLUDE

PISTON, WEIGHT HANGERS ETC OF THE INSTURMENT UNDER TEST. ALSC LISTED

ARE THE CHARACTERISTICS OF THE STANDARD USED IN THIS TEST AND AVAILABLE CATA FOR THE INSTRUMENT UNDER TEST.

NUMBER

600.

MASS

.0 1 1796456

DENSITY

10.240

1 .1300000+

e .3893592-

.0000000

.0000000

•ocooooo

.ocooooo

.0000000

5 .0000000-

5 .0000000-

.0 00 00

p .3000000+

.ocooooo

.0000000

.0000000

.0000000

•ocooooo

.ocooooo

5 .4000000-

.oooocoo

.0000000

CHARACTERISTICS OF THE STANDARD

02 STANDARD , 06 AREA IN M**2

PRESSURE COEFFICIENT e IN PA (-1

)

CIRCUMFERENCE OF PISTON IN M

OIL BUOYANCY <VOLUMN) CORRECTION ABOVE CYLINDER

06 THERMAL EXPANSIVITY OF PISTON /DEG C

06 THERMAL EXPANSIVITY OF CYLINDER /DEG C

01 REFERENCE TEMPERATURE OF STANDARD DEG C

PZ (PA)

SZ ZERO CLEARANCE JACKET PRESSURE COEFFS. PA/N

QZ (PA/N**2)

D (l/PA)

E JACKET PRESSURE COEFFICIENTS

F

5 5 SIGMA A/

A

3 SIGMA 81

3 SIGMA B2

2.0000000+02

e. 0000000-06

.000 00 00

.0000000

.0000000

,0 00 000

0.0 00 00 00

5,0000000-06

5 .0000000-06

•6. ocooooo- 3

2 .3000000 + 01

1 .181 0000-0 3

9 .6 57 999 Q- 6

.0000000

INSTRUMENT UNDER TEST

AREA IN M**2

PRESSURE COEFFICIENT B FROM

PREVIOUS CALieRATICN IN PA-1

CIRCUMFERENCE OF f'MSTON IN M

THERMAL EXPANSIVITY OF PISTON /DEG C

THERMAL EXPANSIVITY CF CYLINDER /DEG C

DIFFERENCE IN REFERENCE LEVELS IN M

REFERENCE TEMPERATURE OF THE INSTRUMENT

UNDER TEST

DENSITY CF PRESSURE FLUID IN G/CM**3

PRESSURE COEFFICIENT OF DENSITY IN PAI

SURFACE TENSION OF PRESSURE FLUID IN N/M
PAGE 4 THIS TAELE LISTS THE FORCE GENERATED BY THE LOAD ON THE STANDARD

INSTRUMENT. AN AIR BUOANCY CORRECTICN HAS BEEN APPLIED. ALSO LISTED

ARE THE CORRECTIONS FCfi SURFACE TENSION. TEMPERATURE. JACKET PRESSUF;E ANC PRESSURE COEFFICIENT OF THE STANDARD.

FORCE 1-LUID BUO. SURF. TEMP. JACK^ZT PRESS.

NO. STD (N) STD T. (N) STD o RESSUkE CCEFF.

101 • 5. 8949e-»-00 0.00000 0.00000 .00001+00 .00000+00 .00000 + 00

102. 5. 8<;5C8-»-00 0.00000 0. 00000 .00 01+00 .00000+00 .00000 + 00

103. 1.74534+01 0.00000 .00000 .00001+00 .00000+00 .00000+00

1 04. ?. 90120+01 0.00000 0.00000 .00001 +00 .00000+00 .00000+00

105. 3.47912+01 0.00000 0.00000 .00000+00 .00000+00 .00000+00

106. 3.47912+01 0.00000 .00000 .00000+00 .00000+00 .00000+00

107. 2.22226+01 0. 00000 0.00000 .00000+00 .00000+00 .00000 + 00

loe. 1. 16741+01 0.0 J 00 0.00000 . 00000+00 .00000+00 .00000+00

19
PAGE 5

THIS TAELE LISTS THE FORCE GENERATED BY THE LOAD ON THE INSTRUMENT

UNDER TEST. AN AIR BUGANCY CORRECTICN HAS BEEN APPLIED. ALSO LISTED

ART. THE CORRECTIONS FOR SURFACE TENS ION, TEMPER ATURE AND FLUID HEAD

IN THE CONNECTING LINES BETWEEN THE TWO INSTRUMENTS.

FORCE FLUID BUG. SURF . TEMPERATURE HEAD

NO. l^Sl (N) TEST T. (N) TEST C.(PA)

201 • .58976915+01 •OOOOOOOC .00000000 .1 0000032+01 -.4810727+00

202. .58976915+01 .00000000 •00000000 •10000039+01 -.4310822+00

203. .17461 493+02 .00000000 .00000000 .10000039+01 -.1424324+01

2 04. .2902561 1+02 .00000000 .00000000 .1 0000042+01 -.2367597+01

205. •34eC7494+02 .ooocoooo .00000000 •1 0000027+01 -.2839220+01

206. .348C7494+02 .00000000 .00000000 •10000028+01 -.2 3 392 2 0+01

207. .2"243443+02 .00000000 .00000000 .1 0000030+01 -.1895958+01

208. .1 lt79504+02 .00000000 •00000000 .1 0000031+01 -.9526914+00

20
PAGE 6

AFTFR CCMPUTATION CF THE PRESSURE CENERATEO BY THE STANDARD AT THE

REFERENCE LEVEL OF THE INSTRUMENT UNDER TEST THE FOLLOWING FUNCTIONS

ARE FITTED TO THE DATA.

FIT 1 F=PA FIT 5 F = P A ( I +6 ( 1 ) P-l-8 ( 2 ) P** 2 ) FIT 2 F = PA-T FIT 6 F =P A< I ^B ( I ) P-i- B ( 2 ) P* 2 )-

T

FIT 3 F = PA( l^Bd )P) FIT 7 F =P A( l + B ( 2 ) P* *2 ) FIT 4 F = PA( l+8( 1 )P)-T FIT 3 F =P A ( H-8 ( 2 ) P* * 2 )-T

WITH P FORCE ON TEST INSTRUMENT

P PRESSURE AT REF LEVEL

A EFFECTIVE AREA OF TEST INSTRUMENT

F(l) AND 3(2) PRESSURE COEFFICIENTS

T TARE WEIGHT (FCRCE).

THIS TAELE LISTS THE OBSERVATION NUMBERS, =>RESSURE AND

OF TFt FITS CONVERTED TO THE EQUIVALENT PRESSURES.

THE RESIDUALS

OBS. PRESSURE

NC • KPA

0. . 0000 000

1 . .7026680+03

2. . 7026820+03

b . . 13^1527+04

c; . .2060407+04

7. .27 69 28 9+0 4

4. .3458178+04

5. .4 147 43+0 4

6. .4147043+04

OBS. PRESSURE

NO. KPA

. .0000000

I . . 7 02e 68 0+0 3

2. . 7026820+03

6. .1391527+04

.2060407+04

7. .27£92S9+04

4. . 2458179+04

5 . .4147043+04

5. .4147043+04

RESIDUALS

FITl .PA

. 0000000

. 2944043 + 01

-. 1 737308 + 02

-. 3273608 + 01

-.4456101+01

-.8989565+01

-. 6690383 + 00

. 6900561 +01

.6502879+01

RESIDUALS

FITS .PA

. 0000000

.3237069+01

-.11 191 88+02

.53E5529+01

. 3602217+01

-.3 966511+01

-. 59201 3,-+00

. 6750021+00

. 2773202+00

RESIDUALS

FIT2 .PA

.1312606+02

. 7262097 + 01

.7166995+01

.4069992+01

.2487628-01

.7371220+01

. 19 15356 + 01

.2793680+01

.2395993+01

RESIDUALS

FIT6,PA

.2598365+02

.6958835+01

.7470347+01

. 1244998 + 01

. 2969260+00

.2011262+01

.2697124+01

.21 C5509+00

.6083328+00

RESIDUALS

FIT3.PA

.0000000

.2451431+01

•. 11 97752 + 02

.4827752+01

.3793193+01

.3150420+01

.2018073+00

.2452 703+00

. 152411 6+00

RESIDUALS

F IT7,PA

.0000000

. 1004954+01

.1342401 +02

. 3667362+01

.3741204+01

.21 30964+01

. 1396449+01

-.1403981 +00

-. 5360800 + 00

RESIDUALS

FIT4,PA

. 7395833+01

.5602786+01

. 8826239+0 1 .5062633+01

. 2343860+01

.5051602+0 I .9138333+00

.1137468+01

. 7397865+00

RES I DUALS

FIT8.PA

.8332308+01

.5503114+01

.8925921+01

. 4847791 +01

.2474354+01

• 4543565+01

. 4293719+00

.7839627+00

.3862808+00

21
PAGE 7

IN CRDFR TO DETECT ANY EFFECT DUE TG THE POTATION DIRECTION OF THE

PISTONS THE RESIDUALS FROM FIT 6 ARE SEPARATED WITH RESPECT TO THE

DIRECriCN OF POTATIOM OF THE PISTONS AND TABULATfcO.

OBS. PRESSURE I =CW TEST TEST 1=CW

NO. KPA ~1=CC'A CVi.PA CCW.PA -1=CCW

0. ,0 00 0, ,0 00 .0 000

1. .70274-03 I . .6<359-»-01 .0000

2. •7C274-03 -1. .0000 -.7470 + 01

8. .1392+04 1. .1245+01 .0000

3. .2C80+04 I. .2969+00 .0000

7. .2769+04 1. -.3011+01 .0000

4. .3453+04 I. .2397+01 .0000

5. .4147+04 1. -.2107+00 .0000

e. .4147+04 -1. .0000 -.6033+00

FIT 4 DETERMINES THE EFFECTIVE AREA A, THE FIRST PRESSURE COEFFICIENT Pd), AND THE TARE T. THE RESIDUALS OF THIS HIT, CUMVERTEO TO

PRLf.SURE, ARE PLOTTED AS FUNCTION OF PRESSURE. TRENDS, ERRORS IN

INDIVIDUAL POINTS, TARE ERRORS, HYSTERESIS ETC CAN EASILY BE DETECTED.

NOTE THAT AN 3-SHAPE CF A CURVE THROUGH THE DATA INDICATES A QUADRATIC TERM IN THE PRESSURE COEFFICIENT, WHICH IS INCLUDED IN FIT 6

FIT 6 DETERMINES THE EFFECTIVE AREA A, THE TWO PRESSURE COEFFI

CIENTS E(l) AND B{2),AND THE TARE T. THE RESIDUALS OF THIS FIT,

CONVERTED TC PRESSURE, ARE PLOTTED A3 FUNCTION OF PRESSURE. TRENDS,

ERRORS IN INDIVIDUAL POINTS, TARE ERRORS, HYSTERESIS ETC CAN EASILY

BE DETECTED.

w STO. STO.

w CW,PA CCW.DA

0. .0000 .0000

.5959+01 • 0000

-.7470+01 .0000

.1245+01 .0000

.2969+00 .0000

-.3011+01 .0000

.2897+01 .0000

-.21 07+00 .0000

-. 6083+00 .0000

22
PAGE 8

ABS-PRESSLR'.KPA CRO-RES FITl.PA

•690+01

+

* +

,205+01 +-

-.231 +01+

-.756+01 +

-.125*02+

-.174+02+ * ^

4 4 + + ^ 4^ + 0.0000 6.9117+02 1.3823+03 2.0735+03 2.7647+03 3.4559+03 4.1470+03

23
PAGE 9

ABS-PRESSUR E.KPA ORQ-RES FIT2.PA

-» +

• 131 +0 2+*

.903+01 +

•493+01 +

.828+00+

2 7+01+

-.737+01+ ^ * +

+ ^. + + + + + 0.0000 6.9117+02 1.3823+03 2.0735+03 2.7647+03 3.4559+03 4.1470+03

24
PAGE 10

THE RESULTS OF THE T£ST ARE CCMPILED IN THIS TABLE. IT LISTS THE

COEFFICIENTS AND THEIR TRIPLED STANDAR3 DEVIATIONS DUE TO RANUOM

SOURCES OF ERRORS AND, FOR THE HIGHEST PRESSURE, THE UNCERTAINTY IN

PRESSLRE CUE TO THE UNCERTAINTY IN TH^SE COEFFICIENTS.

SELECTICN rules:

ANY FIT FOR WHICH THE TRIPLED STANDARD DEVIATION OF A COEFFICIENT

IS LARGER THAN THE COEFFICIENT IS DISCARDED.

THE FIT *ITH THE SMALLEST STANDARD DEVIATION OF THE RESIDUALS REPRESENTS TFE DATA MOST CLOSELY.

AMONG NEARLY EQUIVALENT FITS THE ONE WITH THE SMALLER NUMBER OF

COEFFIECIENT SHOULD 3E USED.

COEFF.FIT 1 COEFF,FIT 2 COEFF.FIT 3 COEFF, FIT 4

8. 395 2?! -0 6

0.000000

0.00 00

o.coooco

0. 000000

8.393326-06

0.000000

0.000000

0.000000

1 .101 709-04

3.39321 l-Oe

2.695255-09

0.000000

0.000000

0.000000

8.393269-06

I .39 679 2-09

0.000000

0.000000

6.207580-05

AREA, M**?

PRES COEF 81 KPA-l

PRES COEF 82 KPA-2

TARE, N

3.276365-06 4,500194-06 9.526252-06 2.466510-05 3 STD DEV A/A

0. 000000 0.000000 2.610492--09 4.995972-09 3 STD DEV 81 KPA-l

o.ooooco 0.000000 0.000000 0.000000 3 STD OEV B2 KPA-2

0. 000000 0.000000 0.000000 0.000000

0.000000 I .0 45 35 3- 04 0. cocooo 2.026503-04 3 STD DEV T, N

2.566263--0 2 1 .697980-02 1 .719967--02 1 .742184-02 3 RES STD DEV KPA

3.27e3e5--06 7.50346 2-•06 2.035407--05 5.1 2056 7-05 3 STD

PDEV^AX/F> MAX

COEFF,FIT 5 COEFF,FIT 6 COEFF.FIT 7 COEFF.FIT 8

8.393193-06 8.393567-06

4. 35 C4C5 -0 9-1. 57 699 1-03

-2.824117-12 2.359466-12

O.OOOOCO O.OOUOOO

0.000000 2.130334-04

a. 392242-06

0. 000000

4.380851-13

.000000

0. 000000

8.393289-06

0.000000

2.183635-13

0.000000

6.993543-05 TARE,

AREA, v!*«2

PRES COEF 81 KPA-l

PRES COEF 32 KPA-2

2.466523-05 9.137254-05 6.506812-06 1.426122-05 3 STD DEV A/A

1

.

737493-06

2.943438-1

2

0. 000000

0. 000000

4.3 0559 1-08

5.832021-12

0.000000

4.344023-04

0.000000 0.000000 3 STD DEV ai KPA-l

4. 569781--13 6.672689-13 3 STD DEV 62 KPA-2

0.000000 0.000000

0. 000000 1 .61 6099-04 3 STD DEV T. N

1.868752-02 1.668562-02 1.797761-02 1.703261-02 3 RES STD DEV KPA

1.481704-04 3.335662-04 1.436591-05 3.037987-05 3 STD DEV

P-MAX/F MAX

25
PAGE 10 (CONT'D)

THE TCTAL TRIPL^.D STANDARD DEVIATION OF A COEFFICIENT IS THE SUM GF

THE TRIPLED STANDARD OEVIATICN DUE TO RANDOM SOURCES OF ERROR LISTED CN THE PRECEDING PAGE PLLS THE SYSTEMATIC UNCERTAINTY LISTED

BEL C^'

COFFFIC IFNT STST. UNCERTAINTY

A

SI

32

5«40-05 A/A

0.00 KPA-1

0,00 KPA-2

WE SUGGEST TO USE FIT NUM3ER: i FOR THE DIRECTOR

NATIONAL MEASUREMENT LABORATORY

/

' JAMES F, SCHOOLEY

94iIEF, TEMPERATURE MEASUREMENTS

AND STANDARDS DIVISION

CENTER FOR ABSOLUTE PHYSICAL QUANT IT IE

26
APPENDIX A (Part 2)

PAGE I RGD U.S. DEPARTMENT OF COMMERCE

P-7772 NATIONAL BUREAU OF STANDARDS

52200/5220607 NATICNAL MEASU'^EMTNT LABORATORY

V^ASHINGTION, O.C. 20234

REPORT CF CALIBRATION

ONE DOUBLE -RANGE DEAD WEIGHT ^ISTON GAGE

SUBMITTED BY

NBS-BOUL DER

INSTRUMENT PEC" I VEO : ^^A Y 13,1981 TEST COMPLETED t JUNE 5tl981

REf^ERENCE: COST CENTER

N0.773?571

DESCRIPTION

NSS IDENTIFICATION NG.t P-7772A

MANUFACTURER: RUSKA

MANUFACTURER'S 3ERI\L NO.: NONE

MANUFACTURER'S TYPE NO.: NCNE

WEIGHTS '^ERE NOT RECEIVED WITH THE INSTRUMENT.

PISTCN NO.: TL-4Q7 PR=^SSURE R^NGE: 1.4 TO 103 KPA

CYLINDER NO.: TL-497 CYLINDER TYPE: SIMPL!^

NOMINAL size: 3.4E-4 SQ. METER

RE-EPENCE TEMPERATURE, T(S) = 23.0 DEGREES C.

THE INSTRUMENT WAS LEVELED SO THAT THE AXIS OF ROTATION OF THE

PISTON WAS VERTICAL.

OBSERVATIONS WERE MADE WITH MANUAL ROTATICN OF THE WEIGHTS CN THE

TEST GAGE.

THE TEMPERATURE WAS MAINTAINED NEAR 23 DEGREES C AND CORRECTIONS

WERE EASED ON READINGS OF AN ATTACHED THERMOMETER.

NSS WEIGHTS WERE USED IN THE CALIBRATION.

REFERENCE LEVEL AND PISTCN PCSITITN, THE REFERENCE LEVEL IS

O.OIO METER ABOVE THE LOWER EDGE OF THE WEIGHT HANGER.

THE GAGE WAS Of'ERATED WITH THE LOWER EDGE OF THE WEIGHT

HANGER AT THE LEVEL OF THE INDEX LINE MARKED ON THE

PISTON/CYL INDiR HEAD ASSEMBLY.

THE INSTRUMENT WAS CALIBRATED Vl I TH NITROGEN

USED AS THE PRESSURE TRANSMITTING FLUID.

IF A TAPE ERROR IS INCICATED.IT SHCULD BE ADDED ALGEBRAICALLY,

IN PA, TO THE PRESSURE DEVELOPED BY THE GAGE.

27
PAGE 2

VALUES CF CHARACTERISTIC PARAMETERS OF THE INSTF?UMENT WITH THE ESTIMATED UNCERTAINTY OF THE OETEPM I NAT I DN ARE GIVEN IN THE FOLLOWING

TA&LE(S). EXPLANATORY INFORMATION IS GIVEN IN THE ENCLOSED ''SUPPLEMENT FOP REPORTS GN DE<^D WEIGHT PISTON GAGES'*.

TO FACILITATE THE DETFCTIGN OF ERhOPS THE WEIGHT NUMBERS. GAGE

TEMPERATURES. DIRECTION CF ROTATION (l.=CW, -la=CCW) AND JACKET

PRESSURE P-J ARE LI3TFD FOR ALL OBSER VAT I CNS a OBSERVATION NUMBERS

I 01 TO 199 RE-ER TO THE STANDARD, iVNO 20 1 TO 299 REFER TO THE TEST

INSTRUMENT, MASS AND DENSITY OF THE WEIGHTS A^^E LISTED IN THE

WEIGHT TABLE.

OfBSa NO. TFMP(C) POT

I 01 .

102

1 03

I 04 .

1 05

1 06.

1 07.

1 03.

2 3.58

2 3.58

23.61

2 3.62

21.62

2 3.65

2 3.63

23.68

1 .

1 •

1 .

1 .

1 .

1 .

1 .

201 , 23.54 1 . 2 02. 23.54 - 1 . 2 03. 2 3.52 1 • 2 04. 2 3.51 1 .

2 05 . 2 3.50 -1 .

2 06. 23.50 1 .

207. 2 3.50 1 . 2 08 . 23.50 - I .

P--J(PA) WEIGHT NUMBERS

0. 6 1. 4?B. 528. 529. 530.

531. 488. 489. 492. 495.

2 9f . ^98.

0. 601. 428. 528. 529. 530 • 53 1. 488. 489. 492. 495.

296. 298.

0. 601. 428. 521 . 526. 529.

530. 531 . 488. 4 89. 492 . 4 5 4. 294.

0. 601. 428 . 521 . 522. 523.

524. 525. 526. 527. 529.

5 30. 531 . 488. 439. 491 . 29 7.

0. 60 1 . 428. 521 . 5 2 2. 523.

524. 525. 526. 527. 529.

5 30. 531 . 488. 489. 491 . 297.

0. 601. 428. 521 . 522. 523.

524. 526. 523. 529. 530 . 53 1. 488. 489. 49 2. 493.

495. 295. 299.

0. 601. 428. 521 . 522. 523.

529. 5 30. 531 . 488. 489 . Alp. 49 3. ^94. 29 7. 298.

299.

0. 6 1. 428. 521 . 522. 523.

529. 530. 531 . 488. 489.

492. 49". 294. 297. 298.

299.

0. 600. 557.

0. 60 0. 557.

0. 600. 552. 557. 559.

0. 6 0. 552. 553. 554. 555.

556. 557. 558. 559.

0. 60 0. 55''. 553. 554. 555.

556. 557. 558. 559.

0. 6 0.

557.

552.

55 8.

553. 554. 555.

0. 600. 552. 553. 554. 559.

0. 600. 552. 553. 554. 559.

28
PAGE ?. WEIGHTS NPT LISTED IN THE aEIGHT TAELE ARE ASSIGNED NUMBERS 60 TO

699. THCSE USED IN THIS RUN ARE LISTED CN THIS PAGE. THEY INCLUDE

PISTON, WEIGHT HANGERS ETC OF THE INSTURMFNT UNDER TEST. ALSO LISTED)

ARE THE CHARACTERISTICS CF TH^^ STANDARD USED IN THIS TEST AND AVAILABLE CATA FOR THE INSTRUMENT UNDER TEST.

NUMflER

600.

601 .

w ASS

047?076?Q

04693.^191

DENS ITY

7, 670

7.670

CHARACTERISTICS OF THE STANDARD

I .2200000^-02

3.3571380-04

.0000000

0.0000000

0.0000000

0.0000000

.0 00 0000

1 .0000000-05

4 .5500000-06

0.0000000

2 .7 CO 000 0^ 01

0.0000000

0.0000000

0.000 0000

0.0000000

.0000000

.0000000

5.7000000-05

O.OGOCOOO

0.0000000

STANDARD

AREA IN M«*2

PRESSURE COEFFICIENT P IN PA(-l)

CIRCUMEERENCF OF PISTTN IN M

niL BUOYANCY {VPLUMN) CORRECTION ABOVE

THERVAL EXPANSIVITY OF aisjON /DEG C

THERMAL EXPANSIVITY CF CYLINDER /DEG C

CYL INOEP

RE-ERENCE TEMPERATURE OF STANDARD DEG C

PZ (PA)

S7. ZERO CLEARANCE JACKET PRESSURE COEFFS. PA/N

QZ (PA/N**2)

D (1/(=>A)

E JACKET PRESSURE COEFFICIENTS

SIGMA

SIGMA

SIGMA

A/

A

Bl

e2

2 .0000000+02

3 .4 00 0000-06

0.0000000

0.0000000

.ocooooo

0.0000000

0.0000000

1 .0000000-05

4.5500000-06

•6 .0000000-03

2.3000000^-01

I .1 31 0000-03

?. 8579999-06

0.0000000

INSTRUMENT UNDER TEST

AREA IN M*«?

PRESSURE COEFFICIENT B FROM

PREVIOUS CALIERATIGN IN PA-l

CIRCUMFERENCE OF PISTCN IN M

THEPMXL EXPANSIVITY OF PISTON /DEG C

THERMAL EXPANSIVITY OF CYLINDER /DEG C

DIFFERENCE IN REFERENCE LEVELS IN M

REF'~PENCE TE»>'PEPATUR'~ Of^ THE INSTRUMENT

UNDER TEST

DENSITY OF PRESSURE FLUID IN G/CM**3

PRESSURE COEFFICIENT OF DENSITY IN PA-l

SURFACE TENSICN CF PRESSURE FLUID IN N/M

29
PAGE 4

THIS tadlf: lists the force generated by the load on the standard

INSTRUMENT. AN AIR OUCANCY CnF<RECTION HAS BEEN APPLIED. ALSO LISTED

ARE THE CORRECT IONS FOP SURFACE TENSION, TEMPERATURE. JACKET PRESSURE ANC PRESSURE COEFFICIENT OF THE STANDARD.

FORCE FLUID -lUO. SURF. TE^P, JACKET PRESS.

NO. STD (N) STD T. (N) STD PRESSURE COEFF.

101 . 2.77549+00 0.00000 0.00000 .00001+00 .00000+00 .000 00+00

102. 2. 77E49+0O 0.00000 . 000 00 .00001+00 .00000+00 .00 00+00

103. 9. 71 47.4+00 0.00000 0.00 00 .00 00 1+0 .00000+00 .00000+00

104. 3.51569+01 0. 00000 0. 00000 .00 001+00 .00000+00 .00000+00

105. 7.51 56<;+01 0. 000 0.00000 .00001+00 .00000+00 .00000 + 00

106. 2. g?178+01 0. 00000 0.00000 .00001+00 .00000+00 .00000+00

107. I. 8 9 66 ?+ 01 0.00000 .000 ,0 0001+00 .00000+00 • 00 00 + 00

108. 1 .89662+01 0.00000 0. 00000 .00001+00 .00000+00 .00000+00

30
PAGE 5

THIS TABLE LISTS THE f^OPCE GENERATED BY THE LOAD ON THE INSTRUMENT

UNDER TEST. AN AIR BUCANCY COf^RECTICN HAS BEEN APPLIED. ALSO LISTED

ARE TJ-E CORRECTinNS FHR SURFACE T ENS ION , TEMPER ^TURE AND FLUID HEAD

IN THE CTNNECTING LINES BETWEEN THE T*0 INSTRUMENTS.

NO.

FCRCE

TEST (N)

FLUID BUG.

TEST

SURF , T. (N)TEMPERATURE

TEST

HEAD

C. (PA )

201. .27752383+01

202. .27752383+01

203. .97137386+01

204. .35154501+02

205. .35154501+02

206. .28215<;21+02

207. .18q64<;i 3 + 02

203. .1 8?64<;i 3 + 02

•00000000

. 00000000

.00000000

.00000000

.00000000

.000 00000

.00000000

.00000000

.00000000

.00000000

.00000000

.00000000

.00000000

,00000000

.oooocooo

.00 00000

. I 0000079+01

.1 0000079+01

.1 000007t+0l

.1 0000074+01

.1 0000073+01

. I 0000073 + 01

.10000073+01

.1 0000073+01

.5660143-02

.5660143-02

.1 981075-01

.71 69649-0 I .7169649-01

. 5754530-01

.3367842-01

.3867342-01

31
PAGE 6

AFTER CCMPUTATION HP THE PRESSURE GENERATED OY THE STANDARD AT THE

RE'^ERENCE LEVEL OF THE INSTRUMENT UNDER TEST THE FOLLOWING FUNCTIONS

ARE FITTED TO THE DATA,

FIT I F = PA FIT 5 F =PA ( H-3 ( 1 ) P+B ( 2 ) P* * 2 ) FIT 2 F = PA-T FIT 6 F =P A( 1 +R{ 1 ) P + 8( 2 ) P* * ?. )-T

FIT 3 F=PA( H-a( I )P) FIT 7 F = p A ( 1 +B ( 2 ) o« *2 ) FIT 4 F-PA< 1+B(1 )P )-T FIT R F = PA ( I -»-B ( 2 ) P* *2 ) -T

WITH F FORCE ON TEST INSTRUMENT

P PRESSURE AT REF LEVEL

A EFFECTIVE AREA GF TEST INSTRUMENT

8(1) AND B(2) PRESSURE COEFFICIENTS

T TARE WEI3HT (FORCE).

THIS TAFLE LISTS THE ORSERVATION NUMBERS, PRESSURE AND THE RESIDUALS

OF THE FITS CCNVERTED TO THE EQUIVALENT PRESSURES.

OBS. PRESSURE PFSIDU\LS RESIDUAL S RESIDUALS RESIDUALS

NO. KPA FITl .PA FIT2,PA F IT3.PA FI T4.PA

0. .00 00 JOO . 0000000 . 142 9185+00 . 0000000 . 2153070+00

1 . .62^7363 + 1 -. 202051 5 + 00 -.7382170-01 -.1895215+00 -.3465071-01

2. .f;2t7363+0l -. 202051 5+00 -.7382170-01 -.1895215+00 -.3465071-01

3. .?8<;3ei3 + 02 . 1439494+00 . 2354569+00 .1767322+00 .2118017+00

7. . 5649477+02 -.

1

305441+00 -.8300017-01 -.9536394-01 -. 142153 7+0

8 . . 5149477 + 02 -. 1^05441 +00 -.8800017-01 -.9536394-01 -.1421537+00

6 . . F405226+02 . 2403270+00 .2339094+00 .24 97 84 0+00 . 2101202+00

4 . . 1047219+03 -. 37C7709-01 -. 9021859-01 -.65 36 94 5-01 -.4127884-01

5. . 1 047219+03 -.24''9294-01 -.6743443-01 -.5258529-01 -. 2849469-Ot

Q8S. PRESSURE RESIDUALS RESIDUALS RESIDUALS RES I DUALS

NO. KPA FITS. PA FIT6,PA F IT7,PA FIT8,PA

. . 0000000 .0000000 .2180873+00 . 0000000 .2015142+00

1 . .626 7 36 3+01 -. 1210731 +00 -.3430501-01 -.1966552+00 -.3769040-01

2. .8267363+01 -.12 10731+00 -.3430501-01 -.1966552+00 - .3769040-01

— . .2893613+02 . 2736695+00 .21 12032+00 . 161 1284 + 00 . 2206319+00

7. .5649477 + 02 -. 1226487+00 -. 1422083 + 00 -.1072171+00 -.1416321 +00

8. .5649477+02 -. 1226487+00 -. 1422083 + 00 -.10 7 2171+0 -.1416321+00

6. .6405226+02 . 1501689+00 .21071 39+00 . 2500355+00 .2016978+00

4. . 1047219+03 -. 2946957-01 -. 4143494-01 -.5635694-01 - .3916290-01

5. . 1047219+03 -. 1668541-01 -.2865078-01 -.4357278-01 -.263 7875-01

32
PAGE 7

IN ORDFR TG DETECT ANY EFFECT DUF TC THE POTATION DIRECTION OF THE

PISTONS THE RESIDUALS FROM FIT 6 ARE SEPAPATEO WITH RESPFCT TG THE

DIRECTICN OF ROTATION OF THE PISTCNS AND TA3ULATE0.

OBS. PRESSURE 1 = CW TEST TEST l=CW STO. STD.

NO, KPA -1 =ccw CW.PA CCW.PA -I =cc* CVk,PA CCW.PA

0. .0000 . .0000 .0000 0, .0000 .0000

1. • 8?.6 7-»-0l . -.3431-01 .0000 , -.3431-01 . 00 3 2. •8257+01 -I . .0000 -.3431-01 . -.3431-01 .0000

3. .2894+02 .2112+00 .0000 .2112+00 • 0000

7. .5649+02 -.1422+00 .0000 . -.1422+00 .0000

8. .5649+02 -1 . .0000 - .1422+0 . -.1422+00 .0000

6, .340 5+02 .2107+00 .0000 .2107+00 .0000

4. .1 047+03 . -.4143-01 .0000 , -.4143-01 .0000

5. .1 047+03 -1 , .0000 -.2865-0

1

, -.2865-01 .0000

FIT 4 DETERMINES THE EFFECTIVE AREA A, THE FIRST PRESSURE CCEFFICIENT B(l). AND THE TARE T. THE RESIDUALS OF THIS FIT, CONVERTED TO

PRESSURE, ARE PLOTTED AS FUNCTION OF PRESSURE. TRENDS, ERRORS IN

INDIVinUAL POINTS, TARE ERRORS, HYSTERESIS ETC CAN EASILY BE DETECTED.

NOTE THAT AN S-SHAPE CF A CURVE IHRCUGH THE DATA INDICATES A QUADRATIC TERM IN THE PRESSURE COEFFICIENT, WHICH IS INCLUDED IN FIT 6

FIT 6 DETERMINES THE EFFECTIVE AREA A, THE TWO PRESSURE COEFFI

CIENTS Etl) AND B(2),AND THE TARE T. THE RESIDUALS OF THIS FIT,

CfNVEPTED TG PRESSURE, ARE PLOTTED AS FUNCTION OF PRESSURE. TREN')S,

ERRORS IN INDIVIDUAL POINTS, TAPE ERRORS, HYSTERESIS ETC CAN EASILY

BE DETECT'^D.

33
P^GE 8

ABS-PPESSLPE.KPA ORC-RES FITl.PA

+ * -»

.152+OOHh

634-01 *

~ *

-.251-01+

-.114+00 +

.202+00+ 2 +

4 + + + ^ + 4- 0.0000 1.7454+01 3.4-^07+01 5.2361+01 6.^615+01 ft. 7268+01 1.0472+02

34
PAGE 9

ABS-PPESSUP E.KPA GPD-RES FIT2,"A

4 + + •235+00+ *

.171 +00+

-*

•106+00+

.414-01+

-.233-01+

*-

-.880-01

+

2 +

+ + + + 4- + ^ 0,0000 1.7454 + 01 3.4907 + 01 5.?.3ei+01 6. 9815+01 S. 7268+01 1.0472+02

35
PAGE 10

THE RESLLTS OF THE TEST ARE CCVPILED IN THIS TABLE. IT LISTS THE

COEFFICIENTS AND THEIR TRIPLED STANDARD DEVIATIONS DUE TO RANDOV

SnUPCES OF ERRORS AND, FOR THE HIGHEST PRESSJRP^, THE UNCERTAINTY IN

PRESSURE CUE TO THE UNCERTAINTY IN THESE COEFFICIENTS.

SELECTICN pules:

ANY FIT FOR WHICH THE TEMPLED STANDARD DEVIATION OF A COEFFICIENT

IS LARGER THAN THE COEFFICIENT IS DISCARDED.

THE FIT WITH THE SMALLEST STANDARD DEVIATION OF THE RESIDUALS REPRESENTS THE DATA MCST CLCSELY.

AMPNG NEARLY EQUIVALENT FITS THE CNE WITH THE SMALLER NUMBER OF

CO'^FFIFC lENT SHOULD Q"^ USED.

COEFF.FIT 1 COEFFtFIT 7. COEFF,FIT 3 COEFF, FIT 4

3.356916-04 3.35e9?.2-04 3.3^56910-04 3.356937-04 AREA, M**2

0.000000 0.000000 1.851413-08-4.007678-08 PRES COEF El KPA-1

O.COOOOO 0.000000 0.000000 0.000000 PRES COEF B2 KPA-^?

O.OOOOGO 0.000000 0.000000 0.000000

O.OOOOCO 4.797^54-05 0.000000 7 . 2780,'? 8-0 5 TARE, N

2. 63 3^71 --06 4.521328-06 1 .2298 73--05 2.002653--05 -3 STO DEV A/A

O.OOOOCO 0.000000 1 . 328606--07 1 .722349--07 3 STD DEV Bl KPA-1

O.COOOOO 0.0 00 0.000000 .000000 3 STO DEV fi2 KPA-2

. 000000 0.000000 0.000000 O.OCOOOO

0. cooooo I .023281-04 0.000000 1.50819 3--04 3 STD DEV T, N

5. 022220--0 4 4.704085-04 5.348234--04 4.9175 15--04 3 RES STD DEV KPA

2.633971--06 7.432660-06 2.621220--05 4.235351--05 3 STO DEV

P-lVIAX/P MAX

COEFF,FIT 5 COEFF.FIT 6 COEFF,FIT 7 CnEFF,FIT 8

3.356874-04 3.356937-04 3.356914-04 3.356931-04 AREA, M**2

3. 336919-07-4. 304209-C3 O.COOOOO 0.000000 PRES COEF 81 KPA-1

-2.061204-09 1.712^85-11 7.678538-11-2.3 3956 3-10 PRES COEF 82 KPA-2

0.000000 0.000000 O.COOOOO 0.000000

0.000000 7.32100 7-05 0.000000 6.764661-05 TARE, N

3,395029-05 7.592434-05 7.952472-06 1.271211-05 3 STJ DEV A/A

9.380736-07 1.657469-06 0.000000 0.000000 3 STD DEV 81 KPA-1

6.073343-09 9.713257-09 8.673673-10 1.010118-09 3 STO DEV B2 KPA-2

0.000000 0.000000 0.000000 0.000000

0.000000 2.615848-04 O.COOOOO 1.366206-04 3 STO DEV T, N

5.332904-04 5.497928-04 5.392947-04 4.921266-04 3 RES STO DEV KPA

1.987915-04 3.634609-04 1.746460-05 2.767606-05 3 STD DEV

P-MAX/P MAX

\

36
page 10 (cont'd)

thf tctal tripled stan0ar.3 deviation hf a cqefficifnt is the sum hf

the tpiplfd stamdard deviation due to funoa^^ sources of frrcr listed f:n the preceding page plus the systematic uncertainty listed

below:

CGEFF IC IENT STST, UNCERTAINTY

A

Bl

8 2

E. 70-OE A /A

f). 00 KPA- l 0. 00 KP.A- 2

V/E SUGGEST TO USE FIT NUMBER: / FOR THE DIRECTOR

NATIONAL MEASUPEM5NT LABORATORY

JAMES F. SCHOOLEY

CH^IEF, TEMPERATURE MEASUREMENTS

AND STANDARDS DIVISION

CENTER FOR ABSOLUTE PHYSICAL QUANTITIES

37
APPENDIX BSTATE OF COLORADO

DEPARTMENT OF AGRICULTURE

1525 Sherman Street Denver, Colorado 80203

(303) 839-2811

September 14, 1981

REPORT OF TEST

OWNER: National Bureau of Standards

Boulder, Colorado

DESCRIPTION: Ruska dead weight tester weights.

Cert. No:

S/N: 28337

The standards described below have been tested and compared sith the

standards of the State of Colorado, and have been found to have the

apparent mass vs brass corrections as indicated below. The effect

of air bouyancy has been considered negligible.

ITEM NUMBER

123

4

5

78

9

10

11

12

13

14

15

APP. MASS VS BRASS

1.30084 lb

1.30078

1.30073

1.30080

1.30079

0.520319

0.520313

0.260165

0.130072

0.0520390

0.0520339

0.0260203

0.0130124

0.0065115

Richard D. Lamm,

Governor Morgan Smith, 7428

Commissioner

Donald Svedman,

Deputy Commissioner

Agricultural Commission

Henry Christensen, he

e

Rogg'en Ben Eastman,

Hotchkiss

)ohn Malloy, Denver

Elton Miller,

Fort Lupton UNCERTAINTY Don Moschetti, Center 0.87

II ulb William Stephens, Gypsum

William Webster,

II Greeley

II Clede Widener, Granada M

Kenneth Wilmore,

0.69 ulb Denver

II

II 0.24 ulb

0.19 ulb

11 0.18 ulb

0.17 ulb

The uncertainty figure is an expression of the overall uncertainty using three standard

deviations as a limit of the effect of random errors of measurement, the magnitude of

systematic errors from knovm sources being negligible.

•.^.- -ri-,»orftni c m TUF

F H Brg^icky/ Chief Metrologist

Colorado Metrology Laboratory

3125 Wyandot St.

Denver, Colorado 80211

THESE CERTIFICATIONS ARE TRACEABLE TO THE

MATIONAL BUREAU OF STANDARDS.

ALL CERTIFICATES ISSUED BY THE COLORADO

rrpARTMENT OF AGRlCULTURE-METROLOuY LAB- -RATCRY EXPIRE ONE YEAR FROM THE DATE OF

ISSUANCE.

38
rom M-WM-45

Rev 12-75 COLORADO DEPARTMENT OF AGRICULTURE

WEIGHTS AND MEASURES-METROLOGY LABORATORY

3125 Wyandot Denver. Colorado 8021

1

(303)839-2845

Date: Sppt. 14. 1981

OJCjIv 1 Ir lUA. 1 ill of weights and measures tested, sealed, calibrated. OWNER National Bureau of Standards Identification or Si/N- 28337

ADDRESS Boulder, Colorado Make/description: Huska dead xjeight tester weight

s

SUBMITTED RY: Gha: )indt

Avdp.

Weight

Grain-Gram-Etc.

Weights

Volume

Measures

Linear or other measures Remarks

1000 lb. 5001b.

501b. 25 1b. 20 1b. 10 1b. 5 1b. 3 1b. 2 1b.

1 lb.

lb.

lb.

lb.

lb.

lb.

8 oz. 4 oz. 2oz.

1 oz. 1/2 oz. 1/4 oz. 1/8 oz. 1/16 oz. 1/32 oz.

1000 gal

100 gal

50 gal

25 gal

20 gal

10 gal

5 gal

3 gal

2 gal

1 gal

1/2 gal. iqt.

ipt.

SEE REPORT C'L' TEST ATTACHET

) MASS:

( X )

) LENGTH:

) VOLUME:

( )

) FREQUENCY:

The test weights described above have been compared with the standards of the State of Colorado and found

(adjusted) to be within the tolerances for their class as prescribed by the National Bureau of Standards.

See "Report of Test/ Calibration" attached. The linear measures described above have been compared with the standards of the State of Colorado and

found to be within the tolerances prescribed by the National Bureau of Standards for this type of equipment.

The volumetric standards described above have been compared with the standards of the State of Colorado

and found (adjusted) to deliver at °F.

This value applies when a second drain period is used following the cessation of the main flow. The tuning fork described above has been compared with the standard frequency output of the National Bureau

of Standards. This is to certify the above described tuning fork has been tested and found to oscillate at Hz. When used with a doppler radar traffic gun operating at Hhz, it will result in a reading

of mph.

(N/A)-(Not Applicable)

J^I^%g|!t!RC/i^N IS TRACEABLE TO THE NATIONAL BUREAU OF STANDARDS. THIS CERT1HCATE ISSUED BY THE

/ CO^^'RADO*1t:^Pf\^ENT OF AGRICULTURE WEIGHTS AND MEASURES-METROLOGY LABORATORY FOR STANDARDS

1 YEAR/S AFTER THE DATE OF CERTIRCATION.

N9 7428

39
NBS-n4A (REV. 2-8C) U.S. DEPT. OF COMM. BIBLIOGRAPHIC DATA

SHEET (See instructions}

1. PUBLICATION OR

REPORT NO. NBS TN-1052

2. Performing Organ. Report No 3. Publ ication Date

February 1982

4. TITLE AND SUBTITLE

An Accuracy Statement for a Facility Used to Calihrate Static Pressure

Transducers and Differential Pressure Transducers at High Base Pressure

5. AUTHOR(S)

C. F. Sindt and J. F. LaBrecque

6. PERFORMING ORGANIZATION (If joint or other than NBS. see in struct/on sj

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

7. Contract/Grant No.

8. Type of Report & Period Covered

9. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street. City. State. ZIP)

American Gas Association

1515 Wilson Blvd.

Arlington, VA 22209

The Gas Research Institute

10 West 35th Street

Chicago, IL 60616

10. SUPPLEMENTARY NOTES

[^J Document describes a computer program; SF-185, FlPS Software Summary, is attached.

11. ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bi bliography or literature survey, mention it here)

A facil ity has

used in the NBS Gas

transducers can be c static transducers i is also the standard

2.5 kPa to 50 MPa ; a

a base operating pre

gage adds ±69 ppm to

uncertainties in the

measurement of the m of the differential

been developed to calibrate pressu

Mass Flow Facility. Both static a alibrated. An air dead weight tes

n the range from 3.8 to 4.5 MPa.

for the differential pressure tra

cistern manometer provides the tr ssure of 4.1 MPa. The calibration

the calibration of the cistern ma high pressure corrections to the

ercury temperature, contributes ±6

pressure transducer calibrations.

re transducers that are

nd differential pressure

ter is the standard for

An air dead weight tester

nsducers in the range of

ansfer for the standard to

of the air dead weight

nometer. This, plus the

cistern manometer and our

90 ppm to the uncertainty

12. KEY WORDS (S/x to twelve entries; alphabetical order; capitalize only proper names; and separate key words by semicolons)

calibration; differential manometer; piston gage; pressure difference; pressure

transducer; standards.

13. AVAILABILITY

^X] Unlimited

I I For Official Distribution. Do Not Release to NTIS

[^ Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C.

20402.

^Xj Order From National Technical Information Service (NTIS), Springfield, VA. 22161

14. NO. OF

PRINTED PAGES

44

15. Price $6.50

USCOMM-DC 6043-P80

•ix U.S. GOVERNMENT PRINTING OFFICE: 1982— 579-007/273 REGION No. 8


NATIONAL BUREAU OF STANDARDS

The National Bureau of Standards' was established by an act oT Congress on March 3, 1901. The Bureau's overall goal is to strengthen and advance the Nation's science and technology

and facilitate their effective application for public benefit. To this end, the Bureau conducts

research and provides: (I) a basis for the Nation's physical measurement system, (2) scientific and technological services for industry and government, (3) a technical basis for equity m

trade, and (4) technical services to promote public safety. The Bureau's technical work is per- formed by the National Measurement Laboratory, the National Engineering Laboratory, and

the Institute for Computer Sciences and Technology.

THE NATIONAL MEASUREMENT LABORATORY provides the national system of

physical and chemical and materials measurement: coordinates the system with measurement

systems of other nations and furnishes essential services leading to accurate and unitorm

physical and chemical measurement throughout the Nation's scientific community, industry,

and commerce; conducts materials research leading to improved methods ol measurement,

standards, and data on the properties of materials needed by industry, commerce, educational

institutions, and Government: provides advisory and research services to other Government

agencies; develops, produces, and distributes Standard Reference Materials: and provides

calibration services. The Laboratory consists of the following centers:

Absolute Physical Quantities- — Radiation Research — Thermodynamics and

Molecular Science — Analytical Chemistry — Materials Science. THE NATIONAL ENGINEERING LABORATORY provides technology and technical ser- vices to the public and private sectors to address national needs and to solve national problems; conducts research in engineering and applied science in support of these efforts; builds and maintains competence in the necessary disciplines required to carry out this research and technical service; develops engineering data and measurement capabilities;

provides engineering measurement traceability services; develops test methods and proposes

engineering standards and code changes; develops and proposes new engineering practices;

and develops and improves mechanisms to transfer results of its research to the ultimate user. The Laboratory consists of the following centers:

Applied Mathematics — Electronics and Electrical Engineering- — Mechanical

Engineering and Process Technology- — Building Technology — Fire Research —

Consumer Product Technology — Field Methods.

THE INSTITUTE FOR COMPUTER SCIENCES AND TECHNOLOGY conducts

research and provides scientific and technical services to aid Federal agencies in the selection, acquisition, application, and use of computer technology to improve effectiveness and

economy in Government operations in accordance with Public Law 89-306 (40 U.S.C. 759), relevant Executive Orders, and other directives; carries out this mission by managing the Federal Information Processing Standards Program, developing Federal A DP standards

guidelines, and managing Federal participation in ADP voluntary standardization activities; provides scientific and technological advisory services and assistance to Federal agencies; and

provides the technical foundation for computer-related policies of the Federal Government.

The Institute consists of the following centers:

Programming Science and Technology — Computer Systems Engineering.

'Headquarters and Laboratories at Gaithersburg, MD, unless otherwise noted; mailing address Washington, DC 20234. -Some divisions within the center are located at Boulder, CO 80303.
U.S. DEPARTMENT OF COMMERCE

National Bureau of Standards

Washington. D.C. 20234

OFFICIAL BUSINESS

Penalty for Private Use. $300

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U.S. DEPARTMENT OF COMMERCE COM-215

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