The Administrator will use the calculation procedure set forth in this section for all official EPA testing of vehicles fueled with gasoline, diesel, alcohol-based or natural gas fuel. The calculations of the weighted fuel economy and carbon-related exhaust emission values require input of the weighted grams/mile values for total hydrocarbons (HC), carbon monoxide (CO), and carbon dioxide (CO2); and, additionally for methanol-fueled automobiles, methanol (CH3 OH) and formaldehyde (HCHO); and, additionally for ethanol-fueled automobiles, methanol (CH3 OH), ethanol (C2 H5 OH), acetaldehyde (C2 H4 O), and formaldehyde (HCHO); and additionally for natural gas-fueled vehicles, non-methane hydrocarbons (NMHC) and methane (CH4). For manufacturers selecting the fleet averaging option for N2 O and CH4 as allowed under § 86.1818 of this chapter the calculations of the carbon-related exhaust emissions require the input of grams/mile values for nitrous oxide (N2 O) and methane (CH4). Emissions shall be determined for the FTP, HFET, US06, SC03, and cold temperature FTP tests. Additionally, the specific gravity, carbon weight fraction and net heating value of the test fuel must be determined. The FTP, HFET, US06, SC03, and cold temperature FTP fuel economy and carbon-related exhaust emission values shall be calculated as specified in this section. An example fuel economy calculation appears in appendix II to this part.
Where:
VFe = volume fraction of ethanol in the test fuel as determined from ASTM D4815 or ASTM D5599 (both incorporated by reference, see § 600.011 ). Calculate the volume fraction by dividing the volume percent of ethanol by 100.
SGe = specific gravity of pure ethanol. Use SGe = 0.7939.
SGf = specific gravity of the test fuel as determined by ASTM D1298 or ASTM D4052 (both incorporated by reference, see § 600.011 ).
CMFe = carbon mass fraction of pure ethanol. Use CMFe = 0.5214.
CMFh = carbon mass fraction of the hydrocarbon fraction of the test fuel as determined using ASTM D3343 (incorporated by reference, see § 600.011 ) with the following inputs, using VTier3 or VLEVIII as appropriate:
Where:
VParo,f = volume percent aromatics in the test fuel as determined by ASTM D1319 (incorporated by reference, see § 600.011 ). An acceptable alternative method is ASTM D5769 (incorporated by reference, see § 600.011 ), as long as the result is bias-corrected as described in ASTM D1319.
T10, T50, T90 = the 10, 50, and 90 percent distillation temperatures of the test fuel, respectively, in degrees Fahrenheit, as determined by ASTM D86 (incorporated by reference, see § 600.011 ).
Where:
NHCe = net heat of combustion of pure ethanol. Use NHCe = 11,530 Btu/lb.
NHCh = net heat of combustion of the hydrocarbon fraction of the test fuel as determined using ASTM D3338 (incorporated by reference, see § 600.011 ) using input values as specified in paragraph (f)(1)(ii) of this section.
SG = SGg * volume fraction gasoline + SGm * volume fraction methanol.
CWF = CWFg * MFg + 0.375 * MFm
Where:
CWFg = Carbon weight fraction of gasoline portion of blend measured using ASTM D 3343 (incorporated by reference in § 600.011 ).
MFg = Mass fraction gasoline = (G * SGg)/(G * SGg + M * SGm)
MFm = Mass fraction methanol = (M * SGm)/(G * SGg + M * SGm)
Where:
G = Volume fraction gasoline.
M = Volume fraction methanol.
SGg = Specific gravity of gasoline as measured using ASTM D 1298 (incorporated by reference in § 600.011 ).
SGm = Specific gravity of methanol as measured using ASTM D 1298 (incorporated by reference in § 600.011 ).
SG = SGg * volume fraction gasoline + SGe * volume fraction ethanol.
CWF = CWFg * MFg + 0.521 * MFe
Where:
CWFg = Carbon weight fraction of gasoline portion of blend measured using ASTM D 3343 (incorporated by reference in § 600.011 ).
MFg = Mass fraction gasoline = (G * SGg)/(G * SGg + E * SGe)
MFe = Mass fraction ethanol = (E * SGe)/(G * SGg + E * SGe)
Where:
G = Volume fraction gasoline.
E = Volume fraction ethanol.
SGg = Specific gravity of gasoline as measured using ASTM D 1298 (incorporated by reference in § 600.011 ).
SGe = Specific gravity of ethanol as measured using ASTM D 1298 (incorporated by reference in § 600.011 ).
mpg = (5174 * 104 * CWF * SG)/[((CWF * HC) + (0.429 * CO) + (0.273 * CO2)) * ((0.6 * SG * NHV) + 5471)]
Where:
HC = Grams/mile HC as obtained in paragraph (g)(1) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(1) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(1) of this section.
CWF = Carbon weight fraction of test fuel as obtained in paragraph (f)(1) of this section and rounded according to paragraph (g)(3) of this section.
NHV = Net heating value by mass of test fuel as obtained in paragraph (f)(1) of this section and rounded according to paragraph (g)(3) of this section.
SG = Specific gravity of test fuel as obtained in paragraph (f)(1) of this section and rounded according to paragraph (g)(3) of this section.
CREE = (CWF/0.273 * HC) + (1.571 * CO) + CO2
Where:
CREE means the carbon-related exhaust emissions as defined in § 600.002 .
HC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CWF = Carbon weight fraction of test fuel as obtained in paragraph (f)(1) of this section and rounded according to paragraph (g)(3) of this section.
CREE = [(CWF/0.273) * NMHC] + (1.571 * CO) + CO2 + (298 * N2O) + (25 * CH4)
Where:
CREE means the carbon-related exhaust emissions as defined in § 600.002 .
NMHC = Grams/mile NMHC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
N2O = Grams/mile N2O as obtained in paragraph (g)(2) of this section.
CH4 = Grams/mile CH4 as obtained in paragraph (g)(2) of this section.
CWF = Carbon weight fraction of test fuel as obtained in paragraph (f)(1) of this section and rounded according to paragraph (g)(3) of this section.
CREE = (3.172 * HC) + (1.571 * CO) + CO2
Where:
CREE means the carbon-related exhaust emissions as defined in § 600.002 .
HC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CREE = (3.172 * NMHC) + (1.571 * CO) + CO2 + (298 * N2O) + (25 * CH4)
Where:
CREE means the carbon-related exhaust emissions as defined in § 600.002 .
NMHC = Grams/mile NMHC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
N2O = Grams/mile N2O as obtained in paragraph (g)(2) of this section.
CH4 = Grams/mile CH4 as obtained in paragraph (g)(2) of this section.
mpg = (CWF * SG * 3781.8)/((CWFexHC * HC) + (0.429 * CO) + (0.273 * CO2) + (0.375 * CH3OH) + (0.400 * HCHO))
Where:
CWF = Carbon weight fraction of the fuel as determined in paragraph (f)(2)(ii) of this section and rounded according to paragraph (g)(3) of this section.
SG = Specific gravity of the fuel as determined in paragraph (f)(2)(i) of this section and rounded according to paragraph (g)(3) of this section.
CWFexHC = Carbon weight fraction of exhaust hydrocarbons = CWF as determined in paragraph (f)(2)(ii) of this section and rounded according to paragraph (g)(3) of this section (for M100 fuel, CWFexHC = 0.866).
HC = Grams/mile HC as obtained in paragraph (g)(1) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(1) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(1) of this section.
CH3OH = Grams/mile CH3OH (methanol) as obtained in paragraph (g)(1) of this section.
HCHO = Grams/mile HCHO (formaldehyde) as obtained in paragraph (g)(1) of this section.
CREE = (CWFexHC/0.273 * HC) + (1.571 * CO) + (1.374 * CH3OH) + (1.466 * HCHO) + CO2
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CWFexHC = Carbon weight fraction of exhaust hydrocarbons = CWF as determined in paragraph (f)(2)(ii) of this section and rounded according to paragraph (g)(3) of this section (for M100 fuel, CWFexHC = 0.866).
HC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CH3OH = Grams/mile CH3OH (methanol) as obtained in paragraph (g)(2) of this section.
HCHO = Grams/mile HCHO (formaldehyde) as obtained in paragraph (g)(2) of this section.
CREE = [(CWFexHC/0.273) * NMHC] + (1.571 * CO) + (1.374 * CH3OH) + (1.466 * HCHO) + CO2 + (298 * N2O) + (25 * CH4)
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CWFexHC = Carbon weight fraction of exhaust hydrocarbons = CWF as determined in paragraph (f)(2)(ii) of this section and rounded according to paragraph (g)(3) of this section (for M100 fuel, CWFexHC = 0.866).
NMHC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CH3OH = Grams/mile CH3OH (methanol) as obtained in paragraph (g)(2) of this section.
HCHO = Grams/mile HCHO (formaldehyde) as obtained in paragraph (g)(2) of this section.
N2O = Grams/mile N2O as obtained in paragraph (g)(2) of this section.
CH4 = Grams/mile CH4 as obtained in paragraph (g)(2) of this section.
Where:
mpge = miles per gasoline gallon equivalent of natural gas.
CWFHC/NG = carbon weight fraction based on the hydrocarbon constituents in the natural gas fuel as obtained in paragraph (f)(3) of this section and rounded according to paragraph (g)(3) of this section.
DNG = density of the natural gas fuel [grams/ft3 at 68 °F (20 °C) and 760 mm Hg (101.3 kPa)] pressure as obtained in paragraph (g)(3) of this section.
CH4, NMHC, CO, and CO2 = weighted mass exhaust emissions [grams/mile] for methane, non-methane HC, carbon monoxide, and carbon dioxide as obtained in paragraph (g)(2) of this section.
CWFNMHC = carbon weight fraction of the non-methane HC constituents in the fuel as determined from the speciated fuel composition per paragraph (f)(3) of this section and rounded according to paragraph (g)(3) of this section.
CO2NG = grams of carbon dioxide in the natural gas fuel consumed per mile of travel.
CO2NG = FCNG * DNG * WFCO2
Where:
= cubic feet of natural gas fuel consumed per mile
Where:
CWFNG = the carbon weight fraction of the natural gas fuel as calculated in paragraph (f)(3) of this section.
WFCO2 = weight fraction carbon dioxide of the natural gas fuel calculated using the mole fractions and molecular weights of the natural gas fuel constituents per ASTM D 1945 (incorporated by reference in § 600.011 ).
CREE = 2.743 * CH4 + CWFNMHC/0.273 * NMHC + 1.571 * CO + CO2
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CH4 = Grams/mile CH4 as obtained in paragraph (g)(2) of this section.
NMHC = Grams/mile NMHC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CWFNMHC = carbon weight fraction of the non-methane HC constituents in the fuel as determined from the speciated fuel composition per paragraph (f)(3) of this section and rounded according to paragraph (f)(3) of this section.
CREE = (25 * CH4) + [(CWFNMHC/0.273) * NMHC] + (1.571 * CO) + CO2 + (298 * N2O)
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CH4 = Grams/mile CH4 as obtained in paragraph (g)(2) of this section.
NMHC = Grams/mile NMHC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CWFNMHC = carbon weight fraction of the non-methane HC constituents in the fuel as determined from the speciated fuel composition per paragraph (f)(3) of this section and rounded according to paragraph (f)(3) of this section.
N2O = Grams/mile N2O as obtained in paragraph (g)(2) of this section.
mpg = (CWF * SG * 3781.8)/((CWFexHC * HC) + (0.429 * CO) + (0.273 * CO2) + (0.375 * CH3OH) + (0.400 * HCHO) + (0.521 * C2H5OH) + (0.545 * C2H4O))
Where:
CWF = Carbon weight fraction of the fuel as determined in paragraph (f)(4) of this section and rounded according to paragraph (f)(3) of this section.
SG = Specific gravity of the fuel as determined in paragraph (f)(4) of this section and rounded according to paragraph (f)(3) of this section.
CWFexHC = Carbon weight fraction of exhaust hydrocarbons = CWF as determined in paragraph (f)(4) of this section and rounded according to paragraph (f)(3) of this section.
HC = Grams/mile HC as obtained in paragraph (g)(1) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(1) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(1) of this section.
CH3OH = Grams/mile CH3OH (methanol) as obtained in paragraph (g)(1) of this section.
HCHO = Grams/mile HCHO (formaldehyde) as obtained in paragraph (g)(1) of this section.
C2H5OH = Grams/mile C2H5OH (ethanol) as obtained in paragraph (g)(1) of this section.
C2H4O = Grams/mile C2H4O (acetaldehyde) as obtained in paragraph (g)(1) of this section.
CREE = (CWFexHC/0.273 * HC) + (1.571 * CO) + (1.374 * CH3OH) + (1.466 * HCHO) + (1.911 * C2H5OH) + (1.998 * C2H4O) + CO2
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CWFexHC = Carbon weight fraction of exhaust hydrocarbons = CWF as determined in paragraph (f)(4) of this section and rounded according to paragraph (f)(3) of this section.
HC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CH3OH = Grams/mile CH3OH (methanol) as obtained in paragraph (g)(2) of this section.
HCHO = Grams/mile HCHO (formaldehyde) as obtained in paragraph (g)(2) of this section.
C2H5OH = Grams/mile C2H5OH (ethanol) as obtained in paragraph (g)(2) of this section.
C2H4O = Grams/mile C2H4O (acetaldehyde) as obtained in paragraph (g)(2) of this section.
CREE = [(CWFexHC/0.273) * NMHC] + (1.571 * CO) + (1.374 * CH3OH) + (1.466 * HCHO) + (1.911 * C2H5OH) + (1.998 * C2H4O) + CO2 + (298 * N2O) + (25 * CH4)
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CWFexHC = Carbon weight fraction of exhaust hydrocarbons = CWF as determined in paragraph (f)(4) of this section and rounded according to paragraph (f)(3) of this section.
NMHC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CH3OH = Grams/mile CH3OH (methanol) as obtained in paragraph (g)(2) of this section.
HCHO = Grams/mile HCHO (formaldehyde) as obtained in paragraph (g)(2) of this section.
C2H5OH = Grams/mile C2H5OH (ethanol) as obtained in paragraph (g)(2) of this section.
C2H4O = Grams/mile C2H4O (acetaldehyde) as obtained in paragraph (g)(2) of this section.
N2O = Grams/mile N2O as obtained in paragraph (g)(2) of this section.
CH4 = Grams/mile CH4 as obtained in paragraph (g)(2) of this section.
Where:
mpge = miles per gasoline gallon equivalent of liquefied petroleum gas.
CWFfuel = carbon weight fraction based on the hydrocarbon constituents in the liquefied petroleum gas fuel as obtained in paragraph (f)(5) of this section and rounded according to paragraph (g)(3) of this section.
SG = Specific gravity of the fuel as determined in paragraph (f)(5) of this section and rounded according to paragraph (g)(3) of this section.
3781.8 = Grams of H2O per gallon conversion factor.
CWFHC = Carbon weight fraction of exhaust hydrocarbon = CWFfuel as determined in paragraph (f)(4) of this section and rounded according to paragraph (f)(3) of this section.
HC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CREE = (CWFHC/0.273 * HC) + (1.571 * CO) + CO2
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CWFHC = Carbon weight fraction of exhaust hydrocarbon = CWFfuel as determined in paragraph (f)(5) of this section and rounded according to paragraph (g)(3) of this section.
HC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
CREE = [(CWFexHC/0.273) * NMHC] + (1.571 * CO) + CO2 + (298 * N2O) + (25 * CH4)
Where:
CREE means the carbon-related exhaust emission value as defined in § 600.002 .
CWFHC = Carbon weight fraction of exhaust hydrocarbon = CWFfuel as determined in paragraph (f)(5) of this section and rounded according to paragraph (g)(3) of this section.
NMHC = Grams/mile HC as obtained in paragraph (g)(2) of this section.
CO = Grams/mile CO as obtained in paragraph (g)(2) of this section.
CO2 = Grams/mile CO2 as obtained in paragraph (g)(2) of this section.
N2O = Grams/mile N2O as obtained in paragraph (g)(2) of this section.
CH4 = Grams/mile CH4 as obtained in paragraph (g)(2) of this section.
Where:
CMFtestfuel = carbon mass fraction of the test fuel, expressed to three decimal places.
SGtestfuel = the specific gravity of the test fuel as obtained in paragraph (f)(1) of this section, expressed to three decimal places.
rH2O = the density of pure water at 60 °F. Use rH2O = 3781.69 g/gal.
SGbasefuel = the specific gravity of the 1975 base fuel. Use SGbasefuel = 0.7394.
NHCbasefuel = net heat of combustion of the 1975 base fuel. Use NHCbasefuel = 43.047 MJ/kg.
NMOG = NMOG emission rate over the test interval or duty cycle in grams/mile.
CH4 = CH4 emission rate over the test interval or duty cycle in grams/mile.
CO = CO emission rate over the test interval or duty cycle in grams/mile.
CO2 = measured tailpipe CO2 emission rate over the test interval or duty cycle in grams/mile.
Ra = sensitivity factor that represents the response of a typical vehicle's fuel economy to changes in fuel properties, such as volumetric energy content. Use Ra = 0.81.
NHCtestfuel = net heat of combustion by mass of test fuel as obtained in paragraph (f)(1) of this section, expressed to three decimal places.
CREE = (CMF /0.273 ·NMOG) + (1.571 ·CO) + CO2 + (0.749 ·CH4)
Where:
CREE = carbon-related exhaust emissions.
CMF = carbon mass fraction of test fuel as obtained in paragraph (f)(1) of this section and rounded according to paragraph (g)(3) of this section.
NMOG = NMOG emission rate obtained in 40 CFR 1066.635 in grams/mile.
CO = CO emission rate obtained in paragraph (g)(2) of this section in grams/mile.
CO2 = measured tailpipe CO2 emission rate obtained in paragraph (g)(2) of this section in grams/mile.
CH4 = CH4 emission rate obtained in paragraph (g)(2) of this section in grams/mile.
CREE = [(CMF /0.273) ·NMOG] + (1.571 ·CO) + CO2 + (298 ·N2O) + (25 ·CH4)
Where:
CREE = the carbon-related exhaust emissions as defined in § 600.002 .
NMOG = NMOG emission rate obtained in 40 CFR 1066.635 in grams/mile.
CO = CO emission rate obtained in paragraph (g)(2) of this section in grams/mile.
CO2 = measured tailpipe CO2 emission rate obtained in paragraph (g)(2) of this section in grams/mile.
N2O = N2 O emission rate obtained in paragraph (g)(2) of this section in grams/mile.
CH4 = CH4 emission rate obtained in paragraph (g)(2) of this section in grams/mile.
CMF = carbon mass fraction of test fuel as obtained in paragraph (f)(1) of this section and rounded according to paragraph (g)(3) of this section.
40 C.F.R. §§600.113-12