# 1065.665 THCE and NMHCE determination.
(a) If you measured an oxygenated hydrocarbon's mass concentration, first calculate its molar concentration in the exhaust sample stream from which the sample was taken (raw or diluted exhaust), and convert this into a C<sub>1</sub>-equivalent molar concentration. Add these C<sub>1</sub>-equivalent molar concentrations to the molar concentration of non-oxygenated total hydrocarbon (NOTHC). The result is the molar concentration of total hydrocarbon equivalent (THCE). Calculate THCE concentration using the following equations, noting that Eq. 1065.665-3 is required only if you need to convert your oxygenated hydrocarbon (OHC) concentration from mass to moles:
Where:
χ<sub>THCE</sub> = the sum of the C<sub>1</sub>-equivalent concentrations of non-oxygenated hydrocarbon, alcohols, and aldehydes.
χ<sub>NOTHC</sub> = the sum of the C<sub>1</sub>-equivalent concentrations of NOTHC.
χOHCi = the C<sub>1</sub>-equivalent concentration of oxygenated species *i* in diluted exhaust, not corrected for initial contamination.
χ<sub>OHCi-init</sub> = the C<sub>1</sub>-equivalent concentration of the initial system contamination (optional) of oxygenated species *i*, dry-to-wet corrected.
χ<sub>THC[THC-FID]cor</sub> = the C<sub>1</sub>-equivalent response to NOTHC and all OHC in diluted exhaust, HC contamination and dry-to-wet corrected, as measured by the THC-FID.
*RF*<sub>OHCi[THC-FID]</sub> = the response factor of the FID to species *i* relative to propane on a C<sub>1</sub>-equivalent basis.
*M*<sub>dexh</sub> = the molar mass of diluted exhaust as determine in § 1065.340.
*m*<sub>dexhOHCi</sub> = the mass of oxygenated species *i* in dilute exhaust.
*M*<sub>OHCi</sub> = the C<sub>1</sub>-equivalent molecular weight of oxygenated species *i*.
*m*<sub>dexh</sub> = the mass of diluted exhaust.
*n*<sub>dexhOHCi</sub> = the number of moles of oxygenated species *i* in total diluted exhaust flow.
*n*<sub>dexh</sub> = the total diluted exhaust flow.
(b) If we require you to determine nonmethane hydrocarbon equivalent (NMHCE), use the following equation:
Where:
*x*<sub>NMHCE</sub> = the sum of the C<sub>1</sub>-equivalent concentrations of nonoxygenated nonmethane hydrocarbon (NONMHC), alcohols, and aldehydes.
*RF*<sub>CH4[THC-FID]</sub> = the response factor of THC-FID to CH<sub>4</sub>.
*x*<sub>CH4</sub> = concentration of CH<sub>4,</sub> HC contamination (optional) and dry-to-wet corrected, as measured by the gas chromatograph FID.
(c) The following example shows how to determine NMHCE emissions based on ethanol (C<sub>2</sub>H<sub>5</sub>OH), methanol (CH<sub>3</sub>OH), acetaldehyde (C<sub>2</sub>H<sub>4</sub>O), and formaldehyde (CH<sub>2</sub>O) as C<sub>1</sub>-equivalent molar concentrations:
*x*<sub>THC[THC-FID]cor</sub> = 145.6 µmol/mol
*x*<sub>CH4</sub> = 18.9 µmol/mol
*x*<sub>C2H5OH</sub> = 100.8 µmol/mol
*x*<sub>CH3OH</sub> = 1.1 µmol/mol
*x*<sub>C2H4O</sub> = 19.1 µmol/mol
*x*<sub>CH2O</sub> = 1.3 µmol/mol
*RF*<sub>CH4[THC-FID]</sub> = 1.07
*RF*<sub>C2H5OH[THC-FID]</sub> = 0.76
*RF*<sub>CH3OH[THC-FID]</sub> = 0.74
*RF*<sub>H2H4O[THC-FID]</sub> = 0.50
*RF*<sub>CH2O[THC-FID]</sub> = 0.0
*x*<sub>NMHCE</sub> = *x*<sub>THC[THC-FID]cor</sub> − (*x*<sub>C2H5OH</sub> · *RF*<sub>C2H5OH[THC-FID]</sub> + *x*<sub>CH3OH</sub> · *RF*<sub>CH3OH[THC-FID]</sub> + *x*<sub>C2H4O</sub> · *RF*<sub>C2H4O[THC-FID]</sub> + *x*<sub>CH2O</sub> · *RF*<sub>CH2O[THC-FID]</sub>) + *x*<sub>C2H5OH</sub> + *x*<sub>CH3OH</sub> + *x*<sub>C2H4O</sub> + *x*<sub>CH2O</sub> − (*RF*<sub>CH4[THC-FID]</sub> · *x*<sub>CH4</sub>)
*x*<sub>NMHCE</sub> = 145.6 − (100.8 · 0.76 + 1.1 · 0.74 + 19.1 · 0.50 + 1.3 · 0) + 100.8 + 1.1 + 19.1 + 1.3 − (1.07 · 18.9)
*x*<sub>NMHCE</sub> = 160.71 µmol/mol
[79 FR 23805, Apr. 28, 2014, as amended at 81 FR 74187, Oct. 25, 2016; 86 FR 34567, June 29, 2021]