MikaStars39/nano-eval huggingface dataset:
There are two stirred tanks with volumes of $V_{R}$ and $2V_{R}$, used for a first-order irreversible liquid-phase reaction. The feed volumetric flow rate is 2, and the reactors are operated in series, with the material first entering $2V_{R}$ and then $V_{R}$. What is the production rate of the product?

Options:
A. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{1}{1+k\:\frac{V_{R}}{v}+k\:\frac{2V_{R}}{v}}\right]
$$
B. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{k\:\frac{2V_{R}}{v}}{\left(1+k\:\frac{V_{R}}{v}\right)\left(1+k\:\frac{2V_{R}}{v}\right)}\right]
$$
C. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{\left(1+k\:\frac{2V_{R}}{v}\right)}{\left(1+k\:\frac{V_{R}}{v}\right)}\right]
$$
D. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{1}{\left(1+k\:\frac{V_{R}}{v}\right)\left(1+k\:\frac{2V_{R}}{v}\right)\left(k\right)}\right]
$$
E. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{\left(1+k\:\frac{V_{R}}{v}\right)}{\left(1+k\:\frac{2V_{R}}{v}\right)\left(1+k\:\frac{V_{R}}{v}\right)}\right]
$$
F. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{k\:\frac{V_{R}}{v}}{\left(1+k\:\frac{2V_{R}}{v}\right)\left(1+\frac{V_{R}}{v}\right)}\right]
$$
G. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{1}{\left(1+k\:\frac{V_{R}}{v}\right)\left(1+k\:\frac{2V_{R}}{v}\right)}\right]
$$
H. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{1}{k\left(1+\frac{2V_{R}}{v}\right)\left(1+\frac{V_{R}}{v}\right)}\right]
$$
I. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{1+k}{\left(1+k\:\frac{2V_{R}}{v}\right)\left(1+k\:\frac{V_{R}}{v}\right)}\right]
$$
J. $$
x_{A2}c_{A0}v=vc_{A0}\left[1-\frac{1}{\left(1+k\:\frac{2V_{R}}{v}\right)\left(1+k\:\frac{V_{R}}{v}\right)}\right]
$$
Answer: J
What is the maximum temperature difference $T_{\mathrm{s}}-T_{\mathrm{b}}$ for the gas-solid catalytic reaction? Given:
$$
(-\Delta H) = 84 \, \mathrm{kJ/mol}, \, C_p = 33.5 \, \mathrm{J/(mol \cdot K)}, \, p_t = 0.20266 \, \mathrm{MPa}, \, T_b = 473 \, \mathrm{K},
$$
and the molar fraction of the reactant in the main gas stream is 0.25.

Options:
A. $$
626K
$$
B. $$
589K
$$
C. $$
618K
$$
D. $$
600K
$$
E. $$
612K
$$
F. $$
667K
$$
G. $$
652K
$$
H. $$
659K
$$
I. $$
645K
$$
J. $$
634K
$$
Answer: A
Attempt to linearize the following nonlinear equation within the ranges $5 \leqslant x \leqslant 7$ and $10 \leqslant y \leqslant 12$:
$z = xy$
When $x = 5$ and $y = 10$, what is the error in the value of $z$ calculated using the linearized equation?

Options:
A. 4%
B. 9%
C. 7%
D. 1%
E. 3%
F. 2%
G. 0%
H. 6%
I. 5%
J. 8%
Answer: F
The time constant of the thermocouple is 2 s, and the time constant of the thermal sleeve is 30 s. When the thermocouple is inserted into the thermal sleeve, this temperature measuring device can be regarded as a dual thermal capacity system.
What is the time constant of this combined thermocouple-thermal sleeve system? Assume the mass of the thermocouple is $8 \ \mathrm{g}$, the mass of the thermal sleeve is $40 \ \mathrm{g}$, and the specific heat capacities of the thermocouple and thermal sleeve are the same.

Options:
A. $T₁= 1.980 sec, T_{2}=$ 34.45 sec
B. $T₁= 1.500 sec, T_{2}=$ 34.75 sec
C. $T₁= 1.900 sec, T_{2}=$ 36.00 sec
D. $T₁= 2.225 sec, T_{2}=$ 35.10 sec
E. $T₁= 1.600 sec, T_{2}=$ 36.90 sec
F. $T₁= 1.750 sec, T_{2}=$ 33.85 sec
G. $T₁= 1.651 sec, T_{2}=$ 36.35 sec
H. $T₁= 1.850 sec, T_{2}=$ 37.25 sec
I. $T₁= 1.322 sec, T_{2}=$ 38.00 sec
J. $T₁= 2.000 sec, T_{2}=$ 32.50 sec
Answer: G
A thermometer indicates that it takes $1 \mathrm{\ min}$ to respond to 98% of a step input signal. Assuming the thermometer is a first-order system, what is its time constant?
If the thermometer is placed in a bathtub and the temperature changes linearly at a rate of $10^\circ \mathrm{C/min}$, how large is the thermometer's error?

Options:
A. $$
0. 1 5 \ \mathrm{m i n},
$$
$$
1. 5 \ \mathrm{d e g r e e s}
$$
B. $$
0. 3 0 \ \mathrm{m i n},
$$
$$
3. 0 \ \mathrm{d e g r e e s}
$$
C. $$
0. 2 8 \ \mathrm{m i n},
$$
$$
2. 8 \ \mathrm{d e g r e e s}
$$
D. $$
0. 4 0 \ \mathrm{m i n},
$$
$$
4. 0 \ \mathrm{d e g r e e s}
$$
E. $$
0. 2 5 \ \mathrm{m i n},
$$
$$
2. 5 \ \mathrm{d e g r e e s}
$$
F. $$
0. 2 2 \ \mathrm{m i n},
$$
$$
2. 2 \ \mathrm{d e g r e e s}
$$
G. $$
0. 3 2 \ \mathrm{m i n},
$$
$$
3. 2 \ \mathrm{d e g r e e s}
$$
H. $$
0. 2 9 \ \mathrm{m i n},
$$
$$
2. 9 \ \mathrm{d e g r e e s}
$$
I. $$
0. 2 0 \ \mathrm{m i n},
$$
$$
2. 0 \ \mathrm{d e g r e e s}
$$
J. $$
0. 3 5 \ \mathrm{m i n},
$$
$$
3. 5 \ \mathrm{d e g r e e s}
$$
Answer: E
The root locus and asymptotes of the unit feedback system, which has the following forward transfer function:
$$
G(s) = \frac{K}{(s^2 + 2s + 2)(s^2 + 2s + 5)}
$$
What is the exact intersection of the root locus with the $j\omega$ axis?

Options:
A. $$
\pm0. 7 4 6 0
$$
B. $$
\pm2. 5 0 0 0
$$
C. $$
\pm1. 5 7 9 6
$$
D. $$
\pm1. 8 7 0 8
$$
E. $$
\pm0. 9 2 8 2
$$
F. $$
\pm2. 2 7 1 9
$$
G. $$
\pm2. 6 8 9 3
$$
H. $$
\pm1. 1 2 5 7
$$
I. $$
\pm1. 3 6 4 4
$$
J. $$
\pm3. 0 4 5 1
$$
Answer: D
Consider the network described by the following equation:
$$
G(s) = \frac{s + \frac{1}{T_{1}}}{s + \frac{1}{T_{2}}}
$$
What is the steady-state output of this network?

Options:
A. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X T_{1} T_{2} } {T_{1} \, + \, T_{2}}} \, \mathrm{s i n} (\omega t \, + \, \operatorname{a r c t a n} T_{1} \omega - \operatorname{a r c t a n} T_{2} \omega)
$$
B. $$
y_{\mathrm{s s}} ( t ) \,=\, {\frac{X T_{2} {\sqrt{1 \,+\, T_{1}^{2} \omega^{2}}}} {T_{1} {\sqrt{1 \,+\, T_{2}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \,+\, \operatorname{a r c t a n} T_{1} \omega\,-\, \operatorname{a r c t a n} T_{2} \omega)
$$
C. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X T_{1} {\sqrt{1 \, + \, \omega^{2}}}} {T_{2} {\sqrt{1 \, + \, T_{2}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \, + \, \operatorname{a r c t a n} T_{1} \, - \, \operatorname{a r c t a n} T_{2})
$$
D. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X {\sqrt{T_{2}^{2} \, + \, T_{1}^{2} \omega^{2}}}} {T_{1} {\sqrt{1 \, + \, T_{2}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \, - \, \operatorname{a r c t a n} T_{1} \, + T_{2} \omega)
$$
E. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X T_{2} {\sqrt{1 \, + \, T_{2}^{2} \omega^{2}}}} {T_{1} {\sqrt{1 \, + \, T_{1}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \, - \, \operatorname{a r c t a n} T_{1} \omega \, + \, \operatorname{a r c t a n} T_{2} \omega)
$$
F. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X T_{1} {\sqrt{1 \, + \, T_{1}^{2} \omega^{2}}}} {T_{2} {\sqrt{1 \, + \, T_{2}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \, + \, \operatorname{a r c t a n} T_{2} \omega - \operatorname{a r c t a n} T_{1} \omega)
$$
G. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X {\sqrt{T_{1}^{2} \, + \, \omega^{2}}}} {T_{2} {\sqrt{1 \, + \, T_{2}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t \, + \, \omega \, - \, \operatorname{a r c t a n} T_{2} )
$$
H. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X T_{2} {\sqrt{T_{1}^{2} \, + \, 1 \, + \, \omega^{2}}}} {T_{1} {\sqrt{1 \, + \, T_{2}^{2}}}}} \, \mathrm{s i n} ( \omega t \, + \operatorname{a r c t a n} T_{1} \omega - \operatorname{a r c t a n} T_{2})
$$
I. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X T_{2} {\sqrt{1 \, + \, T_{1}^{2}}}} {T_{1} {\sqrt{1 \, + \, T_{2}^{2} \omega^{2}}}}} \, \mathrm{c o s} ( \omega t \, + \operatorname{a r c t a n} T_{2} \, - \, \operatorname{a r c t a n} T_{1})
$$
J. $$
y_{\mathrm{s s}}( t ) \, = \, {\frac{X T_{1} {\sqrt{1 \, + \, T_{2}^{2} \omega^{2}}}} {T_{2} {\sqrt{1 \, + \, T_{1}^{2} \omega^{2}}}}} \, \mathrm{s i n} ( \omega t - \operatorname{a r c t a n} T_{1} \omega + \operatorname{a r c t a n} T_{2} \omega)
$$
Answer: B
Given that the open-loop transfer function of the closed-loop system is
$$
G(s)H(s) = \frac{K e^{-2s}}{s},
$$
what is the maximum value of $K$ that ensures system stability?

Options:
A. $$
\pi
$$
B. $$
\pi^3 / 6
$$
C. $$
\pi^2 / 4
$$
D. $$
2\pi
$$
E. $$
\sqrt{\pi}
$$
F. $$
\pi / 8
$$
G. $$
1 / \pi
$$
H. $$
2\pi / 3
$$
I. $$
\pi/ 4
$$
J. $$
\pi / 2
$$
Answer: I
A closed-loop system has the following characteristics: when the open-loop gain is much greater than 1, the closed-loop transfer function is approximately equal to the reciprocal of the feedback transfer function. By adding an internal feedback loop, where the transfer function of the internal feedback loop is equal to the reciprocal of the desired open-loop transfer function, the open-loop characteristics can be altered. Assume the open-loop transfer function of a unit feedback system is:
$$
G(s) = \frac{K}{(T_1 s + 1)(T_2 s + 1)}
$$
What should the transfer function $H(s)$ of the component in the internal feedback loop be so that the internal loop is ineffective at both low and high frequencies?

Options:
A. KsT
B. ks
C. KT
D. tS
E. T1
F. kT3
G. Ks
H. Ts
I. T2
J. kS
Answer: B
What is the $x(t)$ of the system described below?
$$
\left[ \begin{array} {r} {{{\dot{x}_{1}}}} \\ {{{\dot{x}_{2}}}} \\ \end{array} \right]=\left[ \begin{array} {r r} {{0}} & {{1}} \\ {{-3}} & {{-2}} \\ \end{array} \right] \left[ \begin{array} {r} {{x_{1}}} \\ {{x_{2}}} \\ \end{array} \right]
$$
The initial conditions in the equation are:
$$
\left[ \begin{matrix} {{x_{1} ( 0 )}} \\ {{x_{2} ( 0 )}} \\ \end{matrix} \right]=\left[ \begin{matrix} {{1}} \\ {{-1}} \\ \end{matrix} \right]
$$

Options:
A. $$
\left[ \begin{matrix} {{e^{-t} \cos\sqrt{2} \, t}} \\ {{-e^{-t} \sin\sqrt{2} \, t-\sqrt{3} \, e^{-t} \cos\sqrt{2} \, t}} \\ \end{matrix} \right]
$$
B. $$
\left[ \begin{matrix} {{e^{-t} \cos\sqrt{3} \, t}} \\ {{-e^{-t} \cos\sqrt{3} \, t-\sqrt{2} \, e^{-t} \sin\sqrt{3} \, t}} \\ \end{matrix} \right]
$$
C. $$
\left[ \begin{matrix} {{e^{-t} \sin\sqrt{2} \, t}} \\ {{-e^{-t} \sin\sqrt{2} \, t-\sqrt{3} \, e^{-t} \cos\sqrt{2} \, t}} \\ \end{matrix} \right]
$$
D. $$
\left[ \begin{matrix} {{-e^{-t} \cos\sqrt{2} \, t}} \\ {{e^{-t} \cos\sqrt{2} \, t+\sqrt{2} \, e^{-t} \sin\sqrt{2} \, t}} \\ \end{matrix} \right]
$$
E. $$
\left[ \begin{matrix} {{2e^{-t} \cos\sqrt{2} \, t}} \\ {{-2e^{-t} \cos\sqrt{2} \, t-\sqrt{2} \, e^{-t} \sin\sqrt{2} \, t}} \\ \end{matrix} \right]
$$
F. $$
\left[ \begin{matrix} {{e^{-t} \cos\sqrt{2} \, t}} \\ {{-e^{-t} \cos\sqrt{2} \, t-\sqrt{2} \, e^{-t} \sin\sqrt{2} \, t}} \\ \end{matrix} \right]
$$
G. $$
\left[ \begin{matrix} {{e^{-t} \cos\sqrt{2.5} \, t}} \\ {{-e^{-t} \cos\sqrt{2.5} \, t-\sqrt{2} \, e^{-t} \sin\sqrt{2.5} \, t}} \\ \end{matrix} \right]
$$
H. $$
\left[ \begin{matrix} {{e^{-2t} \cos\sqrt{2} \, t}} \\ {{-e^{-2t} \cos\sqrt{2} \, t-\sqrt{2} \, e^{-2t} \sin\sqrt{2} \, t}} \\ \end{matrix} \right]
$$
I. $$
\left[ \begin{matrix} {{e^{-t} \sin\sqrt{3} \, t}} \\ {{-e^{-t} \sin\sqrt{3} \, t-\sqrt{3} \, e^{-t} \cos\sqrt{3} \, t}} \\ \end{matrix} \right]
$$
J. $$
\left[ \begin{matrix} {{e^{-0.5t} \cos\sqrt{2} \, t}} \\ {{-e^{-0.5t} \cos\sqrt{2} \, t-\sqrt{2} \, e^{-0.5t} \sin\sqrt{2} \, t}} \\ \end{matrix} \right]
$$
Answer: F
The given system's state equation is
$$
\dot{\mathbf{x}}=\mathbf{A} \mathbf{x}+\mathbf{B} u
$$
where,
$$
\mathbf{A}=\left[ \begin{array} {c r} {{{0}}} & {{{1}}} \\ {{{0}}} & {{{-1}}} \\ \end{array} \right], \qquad\mathbf{B}=\left[ \begin{array} {c} {{{0}}} \\ {{{1}}} \\ \end{array} \right]
$$
What is the optimal control signal $u$ for this system when the following performance index reaches its minimum?
$$
J \,=\, \int_{0}^{\infty} \! \! \left( \mathbf{x}^{\mathrm{T}} \mathbf{x} \,+\, u^{2} \right) \mathbf{d} t
$$

Options:
A. $$
- 2x_{1}+2x_{2}
$$
B. $$
x_{1}-x_{2}
$$
C. $$
x_{1}-2x_{2}
$$
D. $$
- x_{1}+2x_{2}
$$
E. $$
x_{1}+x_{2}
$$
F. $$
- x_{1}-x_{2}
$$
G. $$
- 2x_{1}-x_{2}
$$
H. $$
2x_{1}-x_{2}
$$
I. $$
2x_{1}+x_{2}
$$
J. $$
- x_{1}+x_{2}
$$
Answer: F
There are two concurrent programs, $\mathbf{P}_{1}$ and $\mathbf{P}_{2}$, with the same priority level, and their execution processes are as follows. Assume that the current semaphores are $\mathrm{s1} = 0$, $\mathrm{s2} = 0$, and the current $\mathrm{z} = 2$. After the processes finish running, the values of $x$, $y$, and $\mathrm{z}$ are ( ).
Process P1
$\cdots$
y := -1;
y := -y + 2;
z := y + 1;
V(s1);
P(s2);
y := -z + y;
$\cdots$
Process P2
$\cdots$
x := 1;
x := x + 1;
P(s1);
x := x + y;
z := x + y;
V(s2);
$\cdots$

Options:
A. $$
5, 1 2, 9
$$
B. $$
5, 1 1, 8
$$
C. $$
4, 1 3, 8
$$
D. $$
4, 1 2, 9
$$
E. $$
5, 1 3, 7
$$
F. $$
6, 1 2, 8
$$
G. $$
6, 1 1, 9
$$
H. $$
4, 1 2, 7
$$
I. $$
4, 1 1, 8
$$
J. $$
6, 1 3, 7
$$
Answer: A
A certain virtual memory system adopts a paged memory management approach and uses the LRU (Least Recently Used) page replacement algorithm. Consider the page access address sequence 1 8 1 7 8 2 7 2 1 8 3 8 2 1 3 1 7 1 3 7. Assuming the memory capacity is 4 pages and starts empty, the number of page faults is ( ).

Options:
A. $$11$$
B. $$12$$
C. $$8$$
D. $$9$$
E. $$6$$
F. $$10$$
G. $$4$$
H. $$3$$
I. $$7$$
J. $$5$$
Answer: E
It is known that the system uses a 32-bit physical address, a 48-bit virtual address, a page size of 4KB, a page table entry size of 8B, and the maximum size of each segment is 4GB.
Assume the system uses a single-level page table, the TLB hit rate is 98%, the TLB access time is 10ns, and the memory access time is 100ns. It is also assumed that memory access only begins when a TLB miss occurs. What is the average page access time?

Options:
A. $$
2 1 3 \mathrm{n s}
$$
B. $$
1 2 0 \mathrm{n s}
$$
C. $$
1 0 5 \mathrm{n s}
$$
D. $$
1 1 5 \mathrm{n s}
$$
E. $$
1 0 8 \mathrm{n s}
$$
F. $$
1 2 2 \mathrm{n s}
$$
G. $$
1 2 5 \mathrm{n s}
$$
H. $$
1 0 9 \mathrm{n s}
$$
I. $$
1 1 2 \mathrm{n s}
$$
J. $$
1 1 0 \mathrm{n s}
$$
Answer: I
A certain computer system uses byte-addressable memory and employs a two-level page table memory management scheme. The format of the virtual address is as follows:
$$10\text{ bits} \quad\quad 10\text{ bits} \quad\quad 12\text{ bits}$$
$$\text{Page Directory Number} \quad \text{Page Table Index} \quad \text{Page Offset}$$
If the virtual addresses accessed during a certain instruction cycle are 0100 0000H and $0 1 1 1 2 0 4 8 \mathrm{H}$, how many second-level page tables are accessed during the address translation process?

Options:
A. Four separate ones
B. None of them
C. Two different ones
D. All possible ones
E. One
F. Several identical ones
G. No valid ones
H. Multiple distinct ones
I. The entire table
J. A single unique one
Answer: E
Suppose there is a record file using linked allocation. The fixed length of a logical record is 100B, and when stored on the disk, grouped record decomposition technology is used. The block size is 512B. If the directory entry for this file has already been loaded into memory, after modifying the 22nd logical record, the disk is booted () times.

Options:
A. $$8$$
B. $$9$$
C. $$12$$
D. $$5$$
E. $$6$$
F. $$7$$
G. $$10$$
H. $$3$$
I. $$11$$
J. $$4$$
Answer: E
Considering the performance of a 56kb/s modem, the driver becomes blocked after outputting a character. Once a character is printed, it triggers an interrupt to notify the blocked driver, which then outputs the next character and blocks again. If the cumulative time for sending a message, outputting one character, and blocking is 0.1ms, what proportion of CPU time is occupied by handling the modem?
( Assume each character includes a start bit and a stop bit, totaling 10 bits. )

Options:
A. $$
50 \%
$$
B. $$
60 \%
$$
C. $$
64 \%
$$
D. $$
48 \%
$$
E. $$
62 \%
$$
F. $$
54 \%
$$
G. $$
52 \%
$$
H. $$
45 \%
$$
I. $$
56 \%
$$
J. $$
58 \%
$$
Answer: I
Lettuce according to the product organs can be divided into () lettuce and leaf lettuce two categories.

Options:
A. Bark use
B. Seed use
C. Pod use
D. Fruit use
E. Stem use
F. Twig use
G. Flower use
H. Root use
I. Tuber use
J. Bulb use
Answer: E
Watermelons possess ____ fruit-bearing capability, allowing them to produce fruit even under ____ conditions, though the fruit is _____.

Options:
A. Monoecious, not pollinated, significantly bitter
B. Monoecious, poorly pollinated, unusually large
C. Unisexual, not pollinated, relatively small
D. Dioecious, fully pollinated, unnaturally small
E. Dioecious, not pollinated, surprisingly sweet
F. Monoecious, rarely pollinated, very dry
G. Bisexual, poorly pollinated, overly ripe
H. Bisexual, fully pollinated, exceptionally large
I. Dioecious, rarely pollinated, remarkably bitter
J. Bisexual, overly pollinated, slightly sour
Answer: C
Short-day vegetables, when grown in the south and introduced to the north, will ____, shortening ____. When grown in the north and introduced to the south, they will ____.

Options:
A. Slow blooming, germination stage, on rotation
B. Extended flowering, life span, for instance
C. Delayed sprouting, flowering duration, in conclusion
D. Advanced flowering, reproductive phase, oppositely
E. Early flowering, growth period, on the contrary
F. Staggered blooming, cultivation time, alternatively
G. Retarded flowering, leaf growth, by contrast
H. Reduced flowering, plant height, conversely
I. Late flowering, growth cycle, as expected
J. Premature sprouting, maturity phase, upon relocation
Answer: E
Berlioz is one of the outstanding figures in the Romantic composers' circle known for his ________ creations.

Options:
A. Abstract Poetry
B. Choral Sonatas
C. Baroque Ballads
D. Classical Anthems
E. Simple Hymns
F. Minimalist Operettas
G. Traditional Cadences
H. Dramatic Dialogues
I. Title Music
J. Folk Symphonies
Answer: I
The Moon's mass is $7. 4 \times1 0^{2 2}$ kg and its radius is 1700 km. What is the speed of a spacecraft moving in a circular orbit just above the lunar surface? What is the escape speed from the Moon?

Options:
A. $$
1. 7. 4 \, \mathrm{k m / s}
$$
$$
2. 5. 0 \, \mathrm{k m / s}
$$
B. $$
1. 7. 3 \, \mathrm{k m / s}
$$
$$
2. 4. 2 \, \mathrm{k m / s}
$$
C. $$
1. 6. 9 \, \mathrm{k m / s}
$$
$$
2. 4. 3 \, \mathrm{k m / s}
$$
D. $$
1. 6. 5 \, \mathrm{k m / s}
$$
$$
2. 3. 9 \, \mathrm{k m / s}
$$
E. $$
1. 7. 9 \, \mathrm{k m / s}
$$
$$
2. 4. 7 \, \mathrm{k m / s}
$$
F. $$
1. 6. 0 \, \mathrm{k m / s}
$$
$$
2. 5. 8 \, \mathrm{k m / s}
$$
G. $$
1. 7 \, \mathrm{k m / s}
$$
$$
2. 4 \, \mathrm{k m / s}
$$
H. $$
1. 8. 0 \, \mathrm{k m / s}
$$
$$
2. 5. 2 \, \mathrm{k m / s}
$$
I. $$
1. 7. 6 \, \mathrm{k m / s}
$$
$$
2. 4. 5 \, \mathrm{k m / s}
$$
J. $$
1. 8. 1 \, \mathrm{k m / s}
$$
$$
2. 3. 6 \, \mathrm{k m / s}
$$
Answer: G
You are standing on the surface of a spherical asteroid gd 10 km in diameter, of density 3000 kg/m. Could you throw a small rock fast enough that it escapes? Give the speed required in km/s and mph.

Options:
A. $$
0 0 7 5 \ \mathrm{k m / s}
$$
$$
1 6. 8 \, \mathrm{m p h}.
$$
B. $$
0 0 2 5 \ \mathrm{k m / s}
$$
$$
5. 6 \, \mathrm{m p h}.
$$
C. $$
0 0 4 5 \ \mathrm{k m / s}
$$
$$
1 0. 4 \, \mathrm{m p h}.
$$
D. $$
0 0 5 5 \ \mathrm{k m / s}
$$
$$
1 2. 3 \, \mathrm{m p h}.
$$
E. $$
0 0 8 5 \ \mathrm{k m / s}
$$
$$
1 9. 1 \, \mathrm{m p h}.
$$
F. $$
0 0 3 5 \ \mathrm{k m / s}
$$
$$
7. 8 \, \mathrm{m p h}.
$$
G. $$
0 0 6 5 \ \mathrm{k m / s}
$$
$$
1 4. 6 \, \mathrm{m p h}.
$$
H. $$
0 0 9 0 \ \mathrm{k m / s}
$$
$$
2 0. 1 \, \mathrm{m p h}.
$$
I. $$
0 0 6 7 \ \mathrm{k m / s}
$$
$$
1 5. 0 \, \mathrm{m p h}.
$$
J. $$
0 0 8 0 \ \mathrm{k m / s}
$$
$$
1 7. 9 \, \mathrm{m p h}.
$$
Answer: G
According to Hubble's law, with $H_{0}=7 0 \ \mathrm{k m / s / M p c},$ how long will it take for the distance from the Milky Way Galaxy to the Virgo Cluster to double?

Options:
A. $$
\mathrm{7 ~ b i l l i o n ~ y e a r s}
$$
B. $$
\mathrm{1 8 ~ b i l l i o n ~ y e a r s}
$$
C. $$
\mathrm{1 2 ~ b i l l i o n ~ y e a r s}
$$
D. $$
\mathrm{1 0 ~ b i l l i o n ~ y e a r s}
$$
E. $$
\mathrm{1 4 ~ b i l l i o n ~ y e a r s}
$$
F. $$
\mathrm{1 6 ~ b i l l i o n ~ y e a r s}
$$
G. $$
\mathrm{2 0 ~ b i l l i o n ~ y e a r s}
$$
H. $$
\mathrm{8 ~ b i l l i o n ~ y e a r s}
$$
I. $$
\mathrm{5 ~ b i l l i o n ~ y e a r s}
$$
J. $$
\mathrm{2 8 ~ b i l l i o n ~ y e a r s}
$$
Answer: E
Use Kepler's third law to estimate the mass
required to keep a galaxy moving at 750 km/s in a circular pd orbit of radius 2 Mpc around the center of a galaxy cluster is ().

Options:
A. $$
6. 7 {\times} 1 0^{1 2} M_{\odot}
$$
B. $$
8. 5 {\times} 1 0^{1 3} M_{\odot}
$$
C. $$
5. 9 {\times} 1 0^{1 4} M_{\odot}
$$
D. $$
7. 4 {\times} 1 0^{1 5} M_{\odot}
$$
E. $$
2. 6 {\times} 1 0^{1 4} M_{\odot}
$$
F. $$
3. 2 {\times} 1 0^{1 2} M_{\odot}
$$
G. $$
1. 8 {\times} 1 0^{1 3} M_{\odot}
$$
H. $$
2. 1 {\times} 1 0^{1 3} M_{\odot}
$$
I. $$
4. 1 {\times} 1 0^{1 4} M_{\odot}
$$
J. $$
3. 9 {\times} 1 0^{1 5} M_{\odot}
$$
Answer: E
The Virgo Cluster is observed to have a recession velocity of 1200 km/s. For $H_{0}=7 0$ km/s/Mpc and a critical-density universe, calculate the total mass contained within a sphere centered on Virgo and just enclosing the Milky Way. What is the escape speed from the surface of this sphere?

Options:
A. 1000km/s
B. 1500km/s
C. 900km/s
D. 1400km/s
E. 1100km/s
F. 1700km/s
G. 800km/s
H. 1600km/s
I. 1200km/s
J. 1300km/s
Answer: I
Convert the water hole's wavelengths to frequencies. For practical reasons, any search of the water hole must be broken up into channels, much like those you find on a television, except that the water hole's channels are very narrow in radio frequency, about 100 Hz wide. How many channels must astronomers search in the water hole?

Options:
A. 2.200,000
B. 2.450,000
C. 2.300,500
D. 2.600,000
E. 2.400,000
F. 2.275,000
G. 2.300,000
H. 2.525,000
I. 2.350,000
J. 2.500,000
Answer: E
An atom of tin (Sn) has a diameter of about $2. 8 \times1 0^{-8}$ cm. If you assume that the tin atom is a sphere, what is the volume in $m^{3}$ of a single atom?

Options:
A. $8. 3 \times1 0^{-2 9} \, {\mathrm m}^{3}$
B. $6. 2 \times1 0^{-2 8} \, {\mathrm m}^{3}$
C. $9. 5 \times1 0^{-2 7} \, {\mathrm m}^{3}$
D. $4. 6 \times1 0^{-3 1} \, {\mathrm m}^{3}$
E. $1. 4 \times1 0^{-2 6} \, {\mathrm m}^{3}$
F. $3. 7 \times1 0^{-3 0} \, {\mathrm m}^{3}$
G. $5. 0 \times1 0^{-2 6} \, {\mathrm m}^{3}$
H. $7. 9 \times1 0^{-3 0} \, {\mathrm m}^{3}$
I. $2. 3 \times1 0^{-2 8} \, {\mathrm m}^{3}$
J. $1. 1 \times1 0^{-2 9} \, {\mathrm m}^{3}$
Answer: J
An $\alpha$ particle is the nucleus of an He atom.The charge-to-mass ratio of an $\alpha$ particle is 4.8224 $\times1 0^{4} \, {\mathrm{C / g}}$ . Based on the charge on the particle, calculate its mass in grams and in amu.

Options:
A. $$7. 2 3 5 9 \times1 0^{-2 4} \mathrm{~ g}$$
$$4.0035 amu$$
B. $$7. 0 1 1 6 \times1 0^{-2 4} \mathrm{~ g}$$
$$3.9973 amu$$
C. $$6. 6 4 4 8 \times1 0^{-2 4} \mathrm{~ g}$$
$$4.0016 amu$$
D. $$6. 6 4 4 8 \times1 0^{-2 4} \mathrm{~ g}$$
$$4.0058 amu$$
E. $$6. 2 4 0 3 \times1 0^{-2 4} \mathrm{~ g}$$
$$4.0020 amu$$
F. $$7. 1 4 2 5 \times1 0^{-2 4} \mathrm{~ g}$$
$$3.9991 amu$$
G. $$6. 5 2 3 4 \times1 0^{-2 4} \mathrm{~ g}$$
$$4.0047 amu$$
H. $$6. 4 8 9 7 \times1 0^{-2 4} \mathrm{~ g}$$
$$4.0005 amu$$
I. $$6. 3 3 9 2 \times1 0^{-2 4} \mathrm{~ g}$$
$$4.0000 amu$$
J. $$5. 9 8 7 2 \times1 0^{-2 4} \mathrm{~ g}$$
$$3.9984 amu$$
Answer: C
Many ions and compounds have very similar names, and there is great potential for confusing them. Write the correct chemical formulas to distinguish between:
(a) calcium sulfide and calcium hydrogen sulfide,
(b) hydrobromic acid and bromic acid,
(c) aluminum ni- tride and aluminum nitrite,
(d) iron(ll) oxide and iron(II) oxide,
(e) ammonia and ammonium ion,

Options:
A. $$
\mathrm{C a S, C a S N}
$$
$$
\mathrm{H B r}, \mathrm{H B r N}
$$
$$
\mathrm{A I N}, \mathrm{A I ( N H_{2} )_{3}}
$$
$$
\mathrm{F e O}, \mathrm{F e}_{4} \mathrm{O}_{2}
$$
$$
\mathrm{N H_{3}, N H_{4}} O
$$
B. $$
\mathrm{C a S, C a H S}
$$
$$
\mathrm{H B r}, \mathrm{H B r} O_{3}
$$
$$
\mathrm{A I N}, \mathrm{A I N O_{2}}
$$
$$
\mathrm{F e O}, \mathrm{F e}_{2} \mathrm{O}_{2}
$$
$$
\mathrm{N H_{3}, N H_{4}}^{-}
$$
C. $$
\mathrm{C a S, C a S O_{4}}
$$
$$
\mathrm{H B r}, \mathrm{H B r} O_{2}
$$
$$
\mathrm{A I N}, \mathrm{A I O_{2}}
$$
$$
\mathrm{F e O}, \mathrm{F e}_{2} \mathrm{O}_{4}
$$
$$
\mathrm{N H_{3}, N H_{}_{2}^{+}}
$$
D. $$
\mathrm{C a S, C a ( H S )_{2}}
$$
$$
\mathrm{H B r}, \mathrm{H B r} O
$$
$$
\mathrm{AlN}, \mathrm{Al( N O_{2} )_{3}}
$$
$$
\mathrm{F e O}, \mathrm{F e}_{2} \mathrm{O}_{3}
$$
$$
\mathrm{N H_{3}, N H_{4}}^{+}
$$
E. $$
\mathrm{C a S, C a F S}
$$
$$
\mathrm{H B r}, \mathrm{H B r O_{\mathrm{4}} {}}
$$
$$
\mathrm{A I N}, \mathrm{A l N} O
$$
$$
\mathrm{F e O}, \mathrm{F e}_{0} \mathrm{O}_{3}
$$
$$
\mathrm{N H_{3}, N H_{3}}^{*}
$$
F. $$
\mathrm{C a S, C a H O S}
$$
$$
\mathrm{H B r}, \mathrm{H B r} O_{3}
$$
$$
\mathrm{A I N}, \mathrm{A I ( N O_{2} )_{5}}
$$
$$
\mathrm{F e O}, \mathrm{F e O}_{3}
$$
$$
\mathrm{N H_{3}, N H_{5}}^{+}
$$
G. $$
\mathrm{C a S, C a O H_{2}}
$$
$$
\mathrm{H B r}, \mathrm{H B r O_{4}}
$$
$$
\mathrm{A I N}, \mathrm{A I ( N O_{3} )_{3}}
$$
$$
\mathrm{F e O}, \mathrm{F e}_{3} \mathrm{O}_{3}
$$
$$
\mathrm{N H_{3}, N O_{3}}^{-}
$$
H. $$
\mathrm{C a S, C a ( H O S )_{2}}
$$
$$
\mathrm{H B r}, \mathrm{H B r} F_{3}
$$
$$
\mathrm{A I N}, \mathrm{A I ( O_{2} )_{3}}
$$
$$
\mathrm{F e O}, \mathrm{F e}_{5} \mathrm{O}_{3}
$$
$$
\mathrm{N H_{3}, N H_{3}}^{-}
$$
I. $$
\mathrm{C a S, C a H_{2} S_{2}}
$$
$$
\mathrm{H B r}, \mathrm{H B r O_{3}}
$$
$$
\mathrm{A I N}, \mathrm{A I ( N O_{2} )_{4}}
$$
$$
\mathrm{F e O}, \mathrm{F e}_{3} \mathrm{O}_{2}
$$
$$
\mathrm{N H_{3}, N O_{4}}^{+}
$$
J. $$
\mathrm{C a S, C a ( H S }_{3} )
$$
$$
\mathrm{H B r}, \mathrm{H B r} O_{2}
$$
$$
\mathrm{A I N}, \mathrm{A I ( N O )_{3}}
$$
$$
\mathrm{F e O}, \mathrm{F e O}_{2}
$$
$$
\mathrm{N H_{3}, N H}
$$
Answer: D
Very small crystals composed of 1000 to 100,000 atoms, called quantum dots, are being investigated for use in electronic devices.The density of germanium is 5.325 $\mathrm{g / c m^{3}}$ . If you made a $4$ nm quantum dot of germanium, how many Ge atoms would it contain? Assume the dot i spherical.

Options:
A. $$
4 \times1 0^{2} \mathrm{~ G e ~ a t o m s}
$$
B. $$
8 \times1 0^{4} \mathrm{~ G e ~ a t o m s}
$$
C. $$
3 \times1 0^{5} \mathrm{~ G e ~ a t o m s}
$$
D. $$
9 \times1 0^{2} \mathrm{~ G e ~ a t o m s}
$$
E. $$
1 \times1 0^{4} \mathrm{~ G e ~ a t o m s}
$$
F. $$
6 \times1 0^{5} \mathrm{~ G e ~ a t o m s}
$$
G. $$
2 \times1 0^{6} \mathrm{~ G e ~ a t o m s}
$$
H. $$
7 \times1 0^{3} \mathrm{~ G e ~ a t o m s}
$$
I. $$
5 \times1 0^{4} \mathrm{~ G e ~ a t o m s}
$$
J. $$
1 \times1 0^{3} \mathrm{~ G e ~ a t o m s}
$$
Answer: J
When a mixture of 10.0 g of acetylene (C$_{2}$H$_{2}$) and 10.0 $\mathbf{g}$ of oxygen (O$_{2}$) is ignited, the resultant combustion reaction produces CO$_{2}$ and H$_{2}$O.How many grams of C$_{2}$Hz, O$_{2}$, CO$_{2}$, and H$_{2}$O are present after the reaction is complete?

Options:
A. $$
3. 2 6 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
6. 7 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 1. 0 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 2 5 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
B. $$
3. 4 0 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
6. 6 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 0. 8 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 3 0 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
C. $$
3. 0 0 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
7. 0 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 1. 2 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 3 5 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
D. $$
3. 6 5 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
6. 3 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 0. 0 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 5 0 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
E. $$
3. 5 0 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
6. 5 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 2. 0 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 0 0 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
F. $$
3. 1 5 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
6. 8 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 1. 3 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 2 0 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
G. $$
2. 8 0 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
7. 4 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 2. 5 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
1. 9 5 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
H. $$
2. 9 0 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
7. 3 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 0. 5 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 4 0 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
I. $$
2. 7 5 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
7. 5 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 1. 5 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 1 0 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
J. $$
3. 4 5 \, \mathrm{g} \, \mathrm{C_{2} H_{2} \, c o n s u m e d}
$$
$$
6. 5 \mathrm{g} \mathrm{C_{2} H_{2} \ r e m a i n}
$$
$$
1 1. 4 \, \mathrm{g} \, \mathrm{C O}_{2} \, \mathrm{p r o d u c e d}
$$
$$
2. 1 8 \, \mathrm{g} \, \mathrm{H}_{2} \mathrm{O p r o d u c e d}
$$
Answer: A
The source of oxygen that drives the internal combustion engine in an automobile is air. Air is a mixture of gases, which are principally $\mathrm{N}_{2} \ ( \sim7 9 \% )$ and $\mathrm{O_{2}} \, (-2 0 \% )$. In the cylinder of an automobile engine, nitrogen can react with oxygen to produce nitric oxide gas, NO. As NO is emitted from the tailpipe of the car, it can react with more oxygen to produce nitrogen dioxide gas.The production of NO$_{x}$ gases is an unwanted side reaction of the main engine combustion process that turns octane, C$_{8}$H$_{18}$, into CO$_{2}$ and water. If 85% of the oxygen in an engine is used to combust octane, and the remainder used to produce nitrogen dioxide, calculate how many grams of nitrogen dioxide would be produced during the combustion of 500 grams of octane.

Options:
A. $$
5. 5 \times1 0^{2} \mathrm{g N O_{2}}
$$
B. $$
2. 0 \times1 0^{2} \mathrm{g N O_{2}}
$$
C. $$
6. 1 \times1 0^{2} \mathrm{g N O_{2}}
$$
D. $$
7. 4 \times1 0^{2} \mathrm{g N O_{2}}
$$
E. $$
2. 8 \times1 0^{2} \mathrm{g N O_{2}}
$$
F. $$
3. 2 \times1 0^{2} \mathrm{g N O_{2}}
$$
G. $$
3. 7 \times1 0^{2} \mathrm{g N O_{2}}
$$
H. $$
5. 0 \times1 0^{2} \mathrm{g N O_{2}}
$$
I. $$
4. 9 \times1 0^{2} \mathrm{g N O_{2}}
$$
J. $$
4. 4 \times1 0^{2} \mathrm{g N O_{2}}
$$
Answer: J
Who is the father of modern American dance?

Options:
A. Alvin Ailey
B. Martha Graham
C. Bill T. Jones
D. Katherine Dunham
E. Jerome Robbins
F. Merce Cunningham
G. Isadora Duncan
H. Twyla Tharp
I. Ted Shawn
J. Ruth St. Denis
Answer: I
What is the play that was once referred to as "a single play revitalized an entire theatrical genre"?

Options:
A. The Hidden Tears of Moonlight
B. The Ten Verses of Light
C. The Four Echoes of Eternity
D. The Seven Scrolls of Wisdom
E. The Twelve Harmonies of Silk
F. The Six Swords of Dawn
G. The Nine Layers of Shadow
H. The Fifteen Strings of Cash
I. The Thirteen Petals of Destiny
J. The Eight Steps to Grace
Answer: H
The Qing Dynasty figure Yang Enshou, in his *Tanyuan Diary · Beiliu Diary*, wrote: "Over a hundred performers take the stage, resplendent in gold and jade, adorned with blooming clusters of flowers," describing the appearance of "example plays" () (the specific opera) in Cantonese opera performances.

Options:
A. "The Journey of the Sacred Dragon"
B. "The Appointment of Ministers in the Six States"
C. "The Banquet of Blossoms in Winter"
D. "The Gathering at Pavilion of Tranquility"
E. "The Training of the Four Generals"
F. "The Imperial Banquet in Spring Festival"
G. "The Coronation of the Phoenix Prince"
H. "The Marriage of Jade and Gold"
I. "The Reunion under the Plum Tree"
J. "The Celebration of the Three Virtues"
Answer: B
At 298K, the standard molar entropy of $NH_{3}(g)$ is $192.5 \, J \cdot K^{-1} \cdot mol^{-1}$, and the relationship between the standard molar isobaric heat capacity and temperature is given by:
$$
\frac{C_{{p,m}}^{\Theta}(T)}{J \cdot K^{-1} \cdot mol^{-1}} = \big\{29.75 + 25.10 \times 10^{-3}(\frac{T}{K}) - 1.55 \times 10^{5} \left(\frac{K}{T}\right)^{2}\big\}
$$
What is the standard molar entropy of $NH_{3}(g)$ at 373K?

Options:
A. $$
2 0 0. 7 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
B. $$
1 9 3. 6 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
C. $$
1 9 5. 8 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
D. $$
1 9 8. 2 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
E. $$
1 9 9. 9 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
F. $$
2 0 2. 5 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
G. $$
2 0 4. 3 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
H. $$
2 0 3. 8 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
I. $$
2 0 5. 0 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
J. $$
2 0 1. 2 \, \mathrm{J} \cdot{\mathrm{K}}^{-1} \cdot{\mathrm{m o l}}^{-1}
$$
Answer: A
$\mathrm{N a_{2} CO _{3}}$ can form three hydrates with water: $\mathrm{N a_{2} C O_{3} \cdot H_{2} O ( s ), N a_{2} C O_{3} \cdot7 H_{2} O ( s ), \ N a_{2} C O_{3} \cdot1 0 H_{2} O}$ (s). How many phases at most can coexist in equilibrium?

Options:
A. $$
\Phi_{\operatorname* {m a x}}=1
$$
B. $$
\Phi_{\operatorname* {m a x}}=9
$$
C. $$
\Phi_{\operatorname* {m a x}}=3
$$
D. $$
\Phi_{\operatorname* {m a x}}=8
$$
E. $$
\Phi_{\operatorname* {m a x}}=2
$$
F. $$
\Phi_{\operatorname* {m a x}}=7
$$
G. $$
\Phi_{\operatorname* {m a x}}=6
$$
H. $$
\Phi_{\operatorname* {m a x}}= 4
$$
I. $$
\Phi_{\operatorname* {m a x}}=10
$$
Answer: H
Place solid $\mathrm{NH_4HS}$ in a vacuum container, where it decomposes at 298.2 K into $\mathrm{NH_3(g)}$ and $\mathrm{H_2S(g)}$. At equilibrium, the pressure in the container is $6.665 \times 10^4 \ \mathrm{Pa}$. If at the time of placing $\mathrm{NH_4HS}$ into the container there was already $\mathrm{H_2S(g)}$ at a pressure of $3.998 \times 10^4 \ \mathrm{Pa}$, what will be the pressure in the container at equilibrium?

Options:
A. $$
8. 4 9 9 \times1 0^{4} \mathrm{~ P a}
$$
B. $$
9. 0 2 2 \times1 0^{4} \mathrm{~ P a}
$$
C. $$
1. 2 7 3 \times1 0^{4} \mathrm{~ P a}
$$
D. $$
7. 9 3 2 \times1 0^{4} \mathrm{~ P a}
$$
E. $$
5. 4 1 0 \times1 0^{4} \mathrm{~ P a}
$$
F. $$
6. 0 0 4 \times1 0^{4} \mathrm{~ P a}
$$
G. $$
3. 7 8 5 \times1 0^{4} \mathrm{~ P a}
$$
H. $$
4. 5 6 1 \times1 0^{4} \mathrm{~ P a}
$$
I. $$
7.772 \times1 0^{4} \mathrm{~ P a}
$$
J. $$
2. 1 8 9 \times1 0^{4} \mathrm{~ P a}
$$
Answer: I
At 298 K, the solubility of liquid substance A, with a molecular weight of 120, in water is $0.12 \, \mathrm{g} / (100 \, \mathrm{g} \, \text{water})$. Assume that water is insoluble in liquid substance A. What are the activity and activity coefficient of liquid substance A in its saturated aqueous solution at 298 K? (Use the pure liquid substance A in the standard state of $T, \rho^{\Theta}$ as the reference state.)

Options:
A. $\begin{array} {l} {1.50 \times1 0^{-5}} ,{6.21 \times1 0^{4}} \\ \end{array}$
B. $\begin{array} {l} {2.00 \times1 0^{-5}} ,{4.89 \times1 0^{4}} \\ \end{array}$
C. $\begin{array} {l} {1.70 \times1 0^{-5}} ,{5.84 \times1 0^{4}} \\ \end{array}$
D. $\begin{array} {l} {1.90 \times1 0^{-5}} ,{5.49 \times1 0^{4}} \\ \end{array}$
E. $\begin{array} {l} {2.10 \times1 0^{-5}} ,{4.75 \times1 0^{4}} \\ \end{array}$
F. $\begin{array} {l} {1.82 \times1 0^{-5}} ,{5.60 \times1 0^{4}} \\ \end{array}$
G. $\begin{array} {l} {1.75 \times1 0^{-5}} ,{5.72 \times1 0^{4}} \\ \end{array}$
H. $\begin{array} {l} {1.60 \times1 0^{-5}} ,{2.63 \times1 0^{4}} \\ \end{array}$
I. $\begin{array} {l} {1.80 \times1 0^{-5}} ,{5.56 \times1 0^{4}} \\ \end{array}$
J. $\begin{array} {l} {1.85 \times1 0^{-5}} ,{5.27 \times1 0^{4}} \\ \end{array}$
Answer: I
The vibrational characteristic temperature $\theta_v = 803.1 K$ of the diatomic molecule $Cl_2$ is given. Neglecting the motion of electrons and nuclei, and using the equipartition principle at $T = 323 K$, what is the value of $C_{V, m}$ (classical)?

Options:
A. $$
3 3. 4 8 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
B. $$
3 1. 5 2 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
C. $$
2 6. 8 5 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
D. $$
3 0. 2 9 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
E. $$
3 2. 0 0 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
F. $$
3 0. 7 5 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
G. $$
2 8. 7 1 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
H. $$
29.10 J \cdot K^{-1} \cdot mol^{-1}
$$
I. $$
2 7. 9 3 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
J. $$
2 5. 6 7 \, \mathrm{J} \cdot\mathrm{K}^{-1} \cdot\mathrm{m o l}^{-1}
$$
Answer: H
At $298 K$, 1 kg of water contains $5.0 \times 10^{-4}$ mol of $LaCl_3$ and $5.0 \times 10^{-3}$ mol of NaCl. Please calculate the mean activity coefficients of $LaCl_{3}$ and NaCl separately according to the Debye-Hückel limiting law.

Options:
A. 0.71,0.88
B. 0.70,0.89
C. 0.75,0.87
D. 0.77,0.91
E. 0.73,0.86
F. 0.67,0.85
G. 0.76,0.92
H. 0.74,0.90
I. 0.80,0.94
J. 0.68,0.93
Answer: H
At 298K, the conductivity of a saturated aqueous solution of a certain sparingly soluble salt is measured as $\kappa = 2.68 \times 10^{-4} \Omega^{-1} \cdot \mathrm{m}^{-1}$, and the conductivity of the water used is $0.84 \times 10^{-4} \; \Omega^{-1} \cdot \mathrm{m}^{-1}$.
There is a cell:
$$
\mathrm{Pt, H_{2} (101325 \, Pa)} \, | \, \mathrm{NaX} (0.01 \, \mathrm{mol} \cdot \mathrm{kg}^{-1}) \, | \, \mathrm{AgX} \, | \, \mathrm{Ag}
$$
It is known that at $298 \mathrm{K}$, the mobility of $\mathrm{Ag}^+$ in an infinitely dilute aqueous solution is $6.42 \times 10^{-8} \mathrm{m}^{2} \cdot \mathrm{V}^{-1} \cdot \mathrm{S}^{-1}$ and the mobility of $\mathrm{X}^-$ is $7.92 \times 10^{-8} \mathrm{m}^{2} \cdot \mathrm{V}^{-1} \cdot \mathrm{S}^{-1}$. The standard electrode potential $\phi^{\theta} (\mathrm{Ag}^+ | \mathrm{Ag})$ is $0.7991 \, \mathrm{V}$.
What is the electromotive force of this cell?

Options:
A. 0.7350V
B. 0.7105V
C. 0.7401V
D. 0.7258V
E. 0.7950V
F. 0.7704V
G. 0.8002V
H. 0.7859V
I. 0.7571V
J. 0.7603V
Answer: I
Consider an airfoil at $1 2^{\circ}$ angle of attack. The normal and axial force coefficients are 1.2 and 0.03, respectively. Calculate the lift and drag coefficients.

Options:
A. $$
{1. 2 1}
$$
$$
{0. 2 5 8}
$$
B. $$
{1. 1 5}
$$
$$
{0. 2 8 2}
$$
C. $$
{1. 0 8}
$$
$$
{0. 2 7 0}
$$
D. $$
{1. 1 8}
$$
$$
{0. 2 7 9}
$$
E. $$
{1. 1 6}
$$
$$
{0. 2 8 8}
$$
F. $$
{1. 0 9}
$$
$$
{0. 2 6 4}
$$
G. $$
{1. 0 7}
$$
$$
{0. 3 1 0}
$$
H. $$
{1. 2 0}
$$
$$
{0. 3 0 1}
$$
I. $$
{1. 1 4}
$$
$$
{0. 2 9 3}
$$
J. $$
{1. 1 7}
$$
$$
{0. 3 0 5}
$$
Answer: D
Consider a velocity field where the radial and tangential components of velocity are $V_{r}=0$ and $V_{\theta}=c r$ , respectively, where $c$ is a constant. Obtain the equations of the streamlines is ().

Options:
A. $$
\mathrm{x^{2}-y^{2}=c o n s t.}
$$
B. $$
\mathrm{y^{2}-x^{2}=c o n s t.}
$$
C. $$
\mathrm{2xy=c o n s t.}
$$
D. $$
\mathrm{x^{2}+y=c o n s t.}
$$
E. $$
\mathrm{y^{3}+x^{3}=c o n s t.}
$$
F. $$
\mathrm{y^{2}+x=c o n s t.}
$$
G. $$
\mathrm{y^{2}+x^{2}=c o n s t.}
$$
H. $$
\mathrm{x^{2}+2y^{2}=c o n s t.}
$$
I. $$
\mathrm{y-x^{2}=c o n s t.}
$$
J. $$
\mathrm{y/x=c o n s t.}
$$
Answer: G
Consider the nonlifting flow over a circular cylinder of a given radius, where $V_{\infty}=2 0$ ft/s. If $V_{\infty}$ is doubled, that is, $V_{\infty}=4 0$ fts, does the shape of the streamlines change?

Options:
A. $$
- \left( 1+{\frac{\mathbf{R}^{2}} {\mathbf{r}^{2}}} \right) \ \mathrm{s i n}^2 \theta
$$
B. $$
- \left( 1+{\frac{\mathbf{R}^{2}} {\mathbf{r}^{2}}} \right) \ \mathrm{c o s} \theta
$$
C. $$
- \left( 1-{\frac{\mathbf{R}^{2}} {\mathbf{r}^{2}}} \right) \ \mathrm{s i n} \theta
$$
D. $$
- \left( \frac{\mathbf{R}^{2}} {\mathbf{r}^{2}} - 1 \right) \ \mathrm{s i n} \theta
$$
E. $$
- \left( 1+{\frac{\mathbf{R}^{2}} {\mathbf{r}^{2}}} \right) \ \mathrm{s i n} \theta
$$
F. $$
- \left( 1+{\frac{\mathbf{R}^{2}} {\mathbf{r}^{3}}} \right) \ \mathrm{s i n} \theta
$$
G. $$
- \left( 1+{\frac{\mathbf{R}^{4}} {\mathbf{r}^{2}}} \right) \ \mathrm{s i n} \theta
$$
H. $$
- \left( 2+{\frac{\mathbf{R}^{2}} {\mathbf{r}^{2}}} \right) \ \mathrm{s i n} \theta
$$
I. $$
- \left( 1+{\frac{\mathbf{r}^{2}} {\mathbf{R}^{2}}} \right) \ \mathrm{s i n} \theta
$$
J. $$
- \left( 1+{\frac{\mathbf{R}^{3}} {\mathbf{r}^{3}}} \right) \ \mathrm{s i n} \theta
$$
Answer: E
A sphere and a circular cylinder (with its axis perpendicular to the flow) are mounted in the same freestream. A pressure tap exists at the top of the sphere, and this is connected via a tube to one side of a manometer. The other side of the manometer is connected to a pressure tap on the surface of the cylinder. This tap is located on the cylindrical surface such that no deflection of the manometer fluid takes place. Calculate the location of this tap.

Options:
A. $$
{7 1. 4^{\circ}}
$$
B. $$
{6 8. 5^{\circ}}
$$
C. $$
{5 9. 1^{\circ}}
$$
D. $$
{4 8. 6^{\circ}}
$$
E. $$
{3 7. 9^{\circ}}
$$
F. $$
{5 5. 8^{\circ}}
$$
G. $$
{4 3. 2^{\circ}}
$$
H. $$
{6 2. 3^{\circ}}
$$
I. $$
{7 5. 6^{\circ}}
$$
J. $$
{6 0. 2^{\circ}}
$$
Answer: D
Consider the isentropic flow through a supersonic wind-tunnel nozzle. The reservoir properties are $T_{0}=5 0 0 \mathrm{~ K}$ and $p_{0}=1 0$ atm. If $p=1$ atm at the nozzle exit, calculate the exit temperature and density.

Options:
A. $$
2 8 5^{\circ} \mathrm{K}
$$
$$
1. 3 9 0 \mathrm{~ k g / m}^{3}
$$
B. $$
2 4 5^{\circ} \mathrm{K}
$$
$$
1. 4 0 0 \mathrm{~ k g / m}^{3}
$$
C. $$
2 8 0^{\circ} \mathrm{K}
$$
$$
1. 3 0 0 \mathrm{~ k g / m}^{3}
$$
D. $$
2 3 5^{\circ} \mathrm{K}
$$
$$
1. 4 5 7 \mathrm{~ k g / m}^{3}
$$
E. $$
2 6 5^{\circ} \mathrm{K}
$$
$$
1. 2 5 0 \mathrm{~ k g / m}^{3}
$$
F. $$
2 8 2^{\circ} \mathrm{K}
$$
$$
1. 3 2 0 \mathrm{~ k g / m}^{3}
$$
G. $$
2 5 9^{\circ} \mathrm{K}
$$
$$
1. 3 5 9 \mathrm{~ k g / m}^{3}
$$
H. $$
2 4 0^{\circ} \mathrm{K}
$$
$$
1. 4 2 0 \mathrm{~ k g / m}^{3}
$$
I. $$
2 7 0^{\circ} \mathrm{K}
$$
$$
1. 2 8 0 \mathrm{~ k g / m}^{3}
$$
J. $$
2 6 0^{\circ} \mathrm{K}
$$
$$
1. 3 7 5 \mathrm{~ k g / m}^{3}
$$
Answer: G
The temperature in the reservoir of a supersonic wind tunnel is 519°R. In the test section, the flow velocity is 1385 ft/s. Calculate the test-section Mach number. Assume the tunnel flow is adiabatic.

Options:
A. $$
1. 6 8
$$
B. $$
1. 4 0
$$
C. $$
1. 3 8
$$
D. $$
1. 3 1
$$
E. $$
1. 6 0
$$
F. $$
1. 2 6
$$
G. $$
1. 4 9
$$
H. $$
1. 3 4
$$
I. $$
1. 5 2
$$
J. $$
1. 5 7
$$
Answer: G
Consider an oblique shock wave with a wave angle of $3 0^{\circ}$ in a Mach 4 flow. The upstream pressure and temperature are $2. 6 5 \times1 0^{4} \, \mathrm{N / m}^{2}$ and 223.3 $\mathrm{K}$, respectively (corresponding to a standard altitude of 10,000 m). Calculate the pressure, temperature, Mach number, total pressure, and total temperature behind the wave and the entropy increase across the wave is ().

Options:
A. $$
{1. 1 9 3 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 7 6. 7^{\circ} K}
$$
$$
2. 7 1
$$
$$
2. 9 \times1 0^{6} \, \mathrm{N / m}^{2}
$$
$$
9 3 7. 9^{\circ} \mathrm{K}
$$
$$
9 3. 9 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
B. $$
{1. 2 1 0 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 8 2. 6^{\circ} K}
$$
$$
2. 8 7
$$
$$
3 . 0 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 5 4. 6^{\circ} \mathrm{K}
$$
$$
8 2. 5 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
C. $$
{1. 1 8 7 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 7 4. 5^{\circ} K}
$$
$$
2. 7 6
$$
$$
2 . 9 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 3 2. 4^{\circ} \mathrm{K}
$$
$$
9 1. 6 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
D. $$
{1. 2 1 5 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 8 7. 5^{\circ} K}
$$
$$
2. 9 0
$$
$$
3 . 1 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 6 0. 3^{\circ} \mathrm{K}
$$
$$
9 0. 1 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
E. $$
{1. 2 0 5 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 8 5. 0^{\circ} K}
$$
$$
2. 8 2
$$
$$
3 . 0 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 5 0. 1^{\circ} \mathrm{K}
$$
$$
8 5. 2 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
F. $$
{1. 1 8 0 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 7 3. 0^{\circ} K}
$$
$$
2. 7 5
$$
$$
2 . 8 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 3 0. 0^{\circ} \mathrm{K}
$$
$$
8 9. 4 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
G. $$
{1. 2 2 0 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 9 0. 2^{\circ} K}
$$
$$
3. 0 0
$$
$$
3 . 2 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 7 0. 7^{\circ} \mathrm{K}
$$
$$
7 5. 0 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
H. $$
{1. 1 7 0 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 7 0. 8^{\circ} K}
$$
$$
2. 6 5
$$
$$
2 . 7 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 2 5. 0^{\circ} \mathrm{K}
$$
$$
1 0 0. 0 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
I. $$
{1. 1 6 5 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 6 9. 9^{\circ} K}
$$
$$
2. 6 2
$$
$$
2 . 6 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 1 2. 3^{\circ} \mathrm{K}
$$
$$
9 8. 7 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
J. $$
{1. 1 6 0 \times1 0^{5} \, \mathrm{N / m^{2}}}
$$
$$
{3 6 8. 1^{\circ} K}
$$
$$
2. 6 0
$$
$$
2 . 7 \times1 0^{6} \, \mathrm{N / m^{2}}
$$
$$
9 1 0. 8^{\circ} \mathrm{K}
$$
$$
1 0 2. 0 \ {\frac{\mathrm{j o u l e}} {\mathrm{k g m}^{o} \mathrm{K}}}
$$
Answer: A
Under low-speed incompressible flow conditions, the pressure coefficient at a given point on an airfoil is $- 0. 5 4$ . Calculate $C_{p}$ at this point when the freestream Mach number is 0.58, using Laitone's rule.

Options:
A. $$
{-0. 7 1 2 5}
$$
B. $$
{-0. 7 7 6 3}
$$
C. $$
{-0. 7 8 0 6}
$$
D. $$
{-0. 6 9 9 7}
$$
E. $$
{-0. 7 3 2 9}
$$
F. $$
{-0. 6 8 4 2}
$$
G. $$
{-0. 8 1 5 4}
$$
H. $$
{-0. 7 9 4 1}
$$
I. $$
{-0. 8 3 9 8}
$$
J. $$
{-0. 6 5 3 7}
$$
Answer: B
The wing on a Piper Cherokee general aviation aircraft is rectangular, with a span of 9.75 m and a chord of 1.6 m. The aircraft is flying at cruising speed (141 mi/h) at sea level. Assume that the skin friction drag on the wing can be approximated by the drag on a flat plate of the same dimensions. Calculate the skin friction drag. If the flow were completely laminar (which is not the case in real life)

Options:
A. $$
{5 8. 7 \ \mathrm{N}}
$$
B. $$
{3 2. 5 \ \mathrm{N}}
$$
C. $$
{4 5. 1 \ \mathrm{N}}
$$
D. $$
{4 4. 9 \ \mathrm{N}}
$$
E. $$
{6 9. 2 \ \mathrm{N}}
$$
F. $$
{3 8. 4 \ \mathrm{N}}
$$
G. $$
{5 3. 6 \ \mathrm{N}}
$$
H. $$
{6 1. 0 \ \mathrm{N}}
$$
I. $$
{7 4. 3 \ \mathrm{N}}
$$
J. $$
{2 7. 8 \ \mathrm{N}}
$$
Answer: F
A hydraulic lift used for lifting automobiles has a $2 5$ cm diameter ram which slides in a 25.018 cm diameter cylinder, the annular space being filled with oil having a kinematic viscosity of $3. 7$ cm*/s and relative density of 0.85. If the rate of travel of the ram is 15 cm/s find the frictional resistance when 3.3 m of ram is engaged in the cylinder.

Options:
A. $$
1. 2 6 7 \ \mathrm{k N}
$$
B. $$
1. 4 0 7 \ \mathrm{k N}
$$
C. $$
1. 2 9 4 \ \mathrm{k N}
$$
D. $$
1. 3 8 9 \ \mathrm{k N}
$$
E. $$
1. 3 6 5 \ \mathrm{k N}
$$
F. $$
1. 4 1 1 \ \mathrm{k N}
$$
G. $$
1. 3 1 2 \ \mathrm{k N}
$$
H. $$
1. 2 8 0 \ \mathrm{k N}
$$
I. $$
1. 4 4 2 \ \mathrm{k N}
$$
J. $$
1. 3 5 6 \ \mathrm{k N}
$$
Answer: J
The velocity of propagation of sound in air is calculated by assuming the process to be isentropic. What is the velocity of sound at 80'C?

Options:
A. $$
4 3 5. 8 \ \mathrm{m / s}
$$
B. $$
4 2 0. 7 \ \mathrm{m / s}
$$
C. $$
3 8 0. 0 \ \mathrm{m / s}
$$
D. $$
3 9 0. 4 \ \mathrm{m / s}
$$
E. $$
3 7 6. 6 \ \mathrm{m / s}
$$
F. $$
3 7 0. 9 \ \mathrm{m / s}
$$
G. $$
3 6 5. 2 \ \mathrm{m / s}
$$
H. $$
4 1 0. 0 \ \mathrm{m / s}
$$
I. $$
3 5 0. 1 \ \mathrm{m / s}
$$
J. $$
4 0 5. 3 \ \mathrm{m / s}
$$
Answer: E
Find the absolute pressure at a depth of $5$ m below the surface of a liquid of relative density 0.85. The barometer reading on the surface is 750 mm of mercury.

Options:
A. $$
1 4 5. 0 0 8 \ \mathrm{k P a}
$$
B. $$
1 3 3. 6 7 4 \ \mathrm{k P a}
$$
C. $$
1 4 3. 2 4 9 \ \mathrm{k P a}
$$
D. $$
1 3 9. 5 6 2 \ \mathrm{k P a}
$$
E. $$
1 4 8. 3 1 0 \ \mathrm{k P a}
$$
F. $$
1 5 2. 7 3 4 \ \mathrm{k P a}
$$
G. $$
1 4 1. 4 6 6 \ \mathrm{k P a}
$$
H. $$
1 5 0. 8 2 1 \ \mathrm{k P a}
$$
I. $$
1 4 6. 9 0 5 \ \mathrm{k P a}
$$
J. $$
1 3 7. 9 0 2 \ \mathrm{k P a}
$$
Answer: G