Document ID: chunk:federal_register_of_legislation:F2023L00129:reg:13:p19
Version: federal_register_of_legislation:F2023L00129
Segment Type: reg
Provision Reference: reg 13 (pt 19/56)
Character Range: 348426–351491

on exact equations
 The mass of the pollutants (g/test) shall be determined by calculating the instantaneous mass emissions from the raw concentrations of the pollutants, the u values and the exhaust gas mass flow, aligned for the transformation time as determined in accordance with paragraph 8.4.2.2. and integrating the instantaneous values over the cycle. If measured on a dry basis, the dry/wet correction according to paragraph 8.1. shall be applied to the instantaneous concentration values before any further calculation is done.
 For the calculation of NOx, the mass emission shall be multiplied with the humidity correction factor kh,D, or kh,G, as determined according to paragraph 8.2.
 The following equation shall be applied:
                 (37)

 Where:
                  ugas  is calculated from equation 38 or 39
                  cgas,i is the instantaneous concentration of the component in the exhaust gas, ppm
                  qmew,i is the instantaneous exhaust mass flow, kg/s
                  f is the data sampling rate, Hz
                  n is the number of measurements
 The instantaneous u values shall be calculated as follows:
ugas,i  = Mgas / (Me,i x 1,000)  (38)
 or
ugas,i =gas / (e,i x 1,000)  (39)
 With
gas = Mgas / 22.414   (40)
 Where:
                  Mgas is the molar mass of the gas component, g/mol (see Appendix 5 to this annex)
                  Me,i is the instantaneous molar mass of the exhaust gas, g/mol
                  gas is the density of the gas component, kg/m3
                  e,i is the instantaneous density of the exhaust gas, kg/m3
 The molar mass of the exhaust, Me, shall be derived for a general fuel composition CHONSunder the assumption of complete combustion, as follows:
                      (41)
 Where:
                  qmaw,i is the instantaneous intake air mass flow rate on wet basis, kg/s
                  qmf,i is the instantaneous fuel mass flow rate, kg/s
                  Ha is the intake air humidity, g water per kg dry air
                  Ma is the molar mass of the dry intake air = 28.965 g/mol
 The exhaust density e shall be derived, as follows:
  (42)
 Where:
                  qmad,i is the instantaneous intake air mass flow rate on dry basis, kg/s
                  qmf,i is the instantaneous fuel mass flow rate, kg/s
                  Ha is the intake air humidity, g water per kg dry air
                  kfw is the fuel specific factor of wet exhaust (equation 16) in paragraph 8.1.1.
8.4.3. Particulate determination
8.4.3.1. Data evaluation
 The particulate mass shall be calculated according to equation 27 of paragraph 8.3. For the evaluation of the particulate concentration, the total sample mass (msep) through the filter over the test cycle shall be recorded.
 With the prior approval of the Type Approval Authority , the particulate mass may be corrected for the particulate level of the diluent, as determined in paragraph 7.5.6., in line with good engineering practice and the specific design features of the particulate measurement