where:
CGT = total concentration of TOC in vented gas stream, average of samples, dry basis, ppmv
CGSi, j = concentration of sample components in vented gas stream for sample j, dry basis, ppmv
i = identifier for a compound
n = number of components in the sample
j = identifier for a sample
m = number of samples in the sample run
Where:
Cc = concentration of TOC or total organic HAP or hydrogen halide and halogen corrected to 3 percent oxygen, dry basis, ppmv
Cm = total concentration of TOC or total organic HAP or hydrogen halide and halogen in vented gas stream, average of samples, dry basis, ppmv
%O2d = concentration of oxygen measured in vented gas stream, dry basis, percent by volume
Where:
Ca = corrected outlet TOC, organic HAP, and hydrogen halides and halogens concentration, dry basis, ppmv
Cm = actual TOC, organic HAP, and hydrogen halides and halogens concentration measured at control device outlet, dry basis, ppmv
Va = total volumetric flow rate of all gas streams vented to the control device, except supplemental gases
Vs = total volumetric flow rate of supplemental gases
where:
Cij, Coj = concentration of sample component j of the gas stream at the inlet and outlet of the control device, respectively, dry basis, ppmv
Ei, Eo = mass rate of total HAP at the inlet and outlet of the control device, respectively, dry basis, kg/hr
Mij, Moj = molecular weight of sample component j of the gas stream at the inlet and outlet of the control device, respectively, gram/gram-mole
Qi, Qo = flow rate of gas stream at the inlet and outlet of the control device, respectively, dry standard cubic meter per minute
K2 = constant, 2.494 * 10-6 (parts per million)-1 (gram-mole per standard cubic meter) (kilogram/gram) (minute/hour), where standard temperature is 20 °C
n = number of sample components in the gas stream
where:
R = control efficiency of control device, percent
Ei = mass rate of total HAP at the inlet to the control device as calculated under paragraph (c)(1)(i) of this section, kilograms organic HAP per hour
Eo = mass rate of total HAP at the outlet of the control device, as calculated under paragraph (c)(1)(i) of this section, kilograms organic HAP per hour
where:
E = mass of HAP emitted
V = volume of gas displaced from the vessel
R = ideal gas law constant
T = temperature of the vessel vapor space; absolute
Pi = partial pressure of the individual HAP
MWi = molecular weight of the individual HAP
n = number of HAP compounds in the emission stream i = identifier for a HAP compound
Where:
E = mass of HAP emitted
V = purge flow rate at the temperature and pressure of the vessel vapor space
R = ideal gas law constant
T = temperature of the vessel vapor space; absolute
Pi = partial pressure of the individual HAP
Pj = partial pressure of individual condensable VOC compounds (including HAP)
PT = pressure of the vessel vapor space
MWi = molecular weight of the individual HAP
t = time of purge
n = number of HAP compounds in the emission stream
i = identifier for a HAP compound
j = identifier for a condensable compound
m = number of condensable compounds (including HAP) in the emission stream
Where:
E = mass of HAP vapor displaced from the vessel being heated
xi = mole fraction of each HAP in the liquid phase
xj = mole fraction of each condensable VOC (including HAP) in the liquid phase
Pi* = vapor pressure of each HAP in the vessel headspace at any temperature between the initial and final heatup temperatures, mmHg.
Pj* = vapor pressure of each condensable VOC (including HAP) in the vessel headspace at any temperature between the initial and final heatup temperatures, mmHg.
760 = atmospheric pressure, mmHg
MWHAP = the average molecular weight of HAP present in the displaced gas
[DELTA][ETA] = number of moles of noncondensable gas displaced
V = volume of free space in the vessel
R = ideal gas law constant
T1 = initial temperature of vessel contents, absolute
T2 = final temperature of vessel contents, absolute
Pan = partial pressure of noncondensable gas in the vessel headspace at initial (n = 1) and final (n = 2) temperature
Patm = atmospheric pressure (when [DELTA][ETA] is used in Equation 13 of this subpart, Patm may be set equal to 760 mmHg for any vessel)
(Pj)Tn = partial pressure of each condensable compound (including HAP) in the vessel headspace at the initial temperature (n = 1) and final (n = 2) temperature
m = number of condensable compounds (including HAP) in the displaced vapor
j = identifier for a condensable compound
(Pi)Tn = partial pressure of each HAP in the vessel headspace at initial (T1) and final (T2) temperature
MWi = molecular weight of the individual HAP
n = number of HAP compounds in the emission stream
i = identifier for a HAP compound
Where:
E = mass of HAP vapor displaced from the vessel being heated
Navg = average gas space molar volume during the heating process
PT= total pressure in the vessel
Pi, 1 = partial pressure of the individual HAP compounds at T1
Pi, 2 = partial pressure of the individual HAP compounds at T2
MWHAP = average molecular weight of the HAP compounds
ni, 1 = number of moles of condensable in the vessel headspace at T1
ni, 2 = number of moles of condensable in the vessel headspace at T2
n = number of HAP compounds in the emission stream
Where:
Navg = average gas space molar volume during the heating process
V = volume of free space in vessel
PT = total pressure in the vessel
R = ideal gas law constant
T1 = initial temperature of the vessel
T2 = final temperature of the vessel
Where:
V = volume of free space in vessel
R = ideal gas law constant
T1 = initial temperature in the vessel
T2 = final temperature in the vessel
Pi, 1 = partial pressure of the individual HAP compounds at T1
Pi, 2 = partial pressure of the individual HAP compounds at T2
n = number of HAP compounds in the emission stream
Where:
Vnc1 = initial volume of noncondensable gas in the vessel
Vnc2 = final volume of noncondensable gas in the vessel
V = free volume in the vessel being depressurized
Pnc1 = initial partial pressure of the noncondensable gas, as calculated using Equation 23 of this subpart, mmHg
Pnc2 = final partial pressure of the noncondensable gas, as calculated using Equation 24 of this subpart, mmHg
760 = atmospheric pressure, mmHg
Where:
Pnc1 = initial partial pressure of the noncondensable gas
Pnc2 = final partial pressure of the noncondensable gas
P1 = initial vessel pressure
P2 = final vessel pressure
Pj* = vapor pressure of each condensable (including HAP) in the emission stream
xj = mole fraction of each condensable (including HAP) in the liquid phase
m = number of condensable compounds (including HAP) in the emission stream
j = identifier for a condensable compound
Where:
nRi = average ratio of moles of noncondensable to moles of individual HAP
Pnc1 = initial partial pressure of the noncondensable gas, as calculated using Equation 23 of this subpart
Pnc2 = final partial pressure of the noncondensable gas, as calculated using Equation 24 of this subpart
Pi* = vapor pressure of each individual HAP
xi = mole fraction of each individual HAP in the liquid phase.
n = number of HAP compounds
i = identifier for a HAP compound
Where:
E = mass of HAP emitted
Vnc1 = initial volume of noncondensable gas in the vessel, as calculated using Equation 21 of this subpart
Vnc2 = final volume of noncondensable gas in the vessel, as calculated using Equation 22 of this subpart
nRi = average ratio of moles of noncondensable to moles of individual HAP, as calculated using Equation 25 of this subpart
Patm = atmospheric pressure, standard
R = ideal gas law constant
T = temperature of the vessel, absolute
MWi = molecular weight of each HAP
Where:
YHAP = mole fraction of HAP (the sum of the individual HAP fractions, [SIGMA]Yi)
V = free volume in the vessel being depressurized
P1 = initial vessel pressure
R = ideal gas law constant
T = vessel temperature, absolute
Where:
n1 = initial number of moles of noncondensable gas in the vessel
n2 = final number of moles of noncondensable gas in the vessel
V = free volume in the vessel being depressurized
Pnc1 = initial partial pressure of the noncondensable gas, as calculated using Equation 23 of this subpart
Pnc2 = final partial pressure of the noncondensable gas, as calculated using Equation 24 of this subpart
R = ideal gas law constant
T = temperature, absolute
where:
nHAP = moles of HAP emitted
n1 = initial number of moles of noncondensable gas in the vessel, as calculated using Equation 28 of this subpart
n2 = final number of moles of noncondensable gas in the vessel, as calculated using Equation 29 of this subpart
E=[ETA]HAP * MWHAP (Eq. 31)
where:
E = mass of HAP emitted
[ETA]HAP = moles of HAP emitted, as calculated using Equation 30 of this subpart
MWHAP = average molecular weight of the HAP as calculated using Equation 17 of this subpart
Where:
V = free volume in vessel being depressurized
R = ideal gas law constant
T = temperature of the vessel, absolute
P1 = initial pressure in the vessel
P2 = final pressure in the vessel
Pj = partial pressure of the individual condensable compounds (including HAP)
MWi = molecular weight of the individual HAP compounds
n = number of HAP compounds in the emission stream
m = number of condensable compounds (including HAP) in the emission stream
i = identifier for a HAP compound
j = identifier for a condensable compound.
Where:
E = mass of HAP emitted
Psystem = absolute pressure of receiving vessel or ejector outlet conditions, if there is no receiver
Pi = partial pressure of the HAP at the receiver temperature or the ejector outlet conditions
Pj = partial pressure of condensable (including HAP) at the receiver temperature or the ejector outlet conditions
La = total air leak rate in the system, mass/time
MWnc = molecular weight of noncondensable gas
t = time of vacuum operation
MWi = molecular weight of the individual HAP in the emission stream, with HAP partial pressures calculated at the temperature of the receiver or ejector outlet, as appropriate
Where:
V = volumetric flow rate of gas evolution
Wg = mass flow rate of gas evolution
R = ideal gas law constant
T = temperature at the exit, absolute
PT = vessel pressure
MWg = molecular weight of the evolved gas
Where:
E = mass of HAP emitted
B = mass of dry solids
PS1 = HAP in material entering dryer, weight percent
PS2 = HAP in material exiting dryer, weight percent
Where:
V = volume of empty vessel
R = ideal gas law constant
T = temperature of the vessel vapor space; absolute
Pi = partial pressure of the individual HAP at the beginning of the purge
(MWi) = molecular weight of the individual HAP
F = flowrate of the purge gas
t = duration of the purge
n = number of HAP compounds in the emission stream
i = identifier for a HAP compound
Where:
E = mass of HAP emitted
[DELTA][ETA] = moles of noncondensable gas displaced
PT = pressure in the receiver
Pi = partial pressure of the individual HAP at the receiver temperature
Pj = partial pressure of the individual condensable (including HAP) at the receiver temperature
n = number of HAP compounds in the emission stream
i = identifier for a HAP compound
MWHAP = the average molecular weight of HAP in vapor exiting the receiver, as calculated using Equation 17 of this subpart
m = number of condensable compounds (including HAP) in the emission stream
Where:
E = mass of HAP vapor emitted
Vnc1 = initial volume of noncondensable in the vessel, corrected to the final pressure, as calculated using Equation 39 of this subpart
Vnc2 = final volume of noncondensable in the vessel, as calculated using Equation 40 of this subpart
Pi = partial pressure of each individual HAP at the receiver temperature
Pj = partial pressure of each condensable (including HAP) at the receiver temperature
PT = receiver pressure
T = temperature of the receiver
R = ideal gas law constant
MWHAP = the average molecular weight of HAP calculated using Equation 17 of this subpart with partial pressures determined at the receiver temperature
i = identifier for a HAP compound
n = number of HAP compounds in the emission stream
m = number of condensable compounds (including HAP) in the emission stream
j = identifier for a condensable compound
Where:
Vnc1 = initial volume of noncondensable gas in the vessel
Vnc2 = final volume of noncondensable gas in the vessel
V = free volume in the vessel being depressurized
Pnc1 = initial partial pressure of the noncondensable gas, as calculated using Equation 41 of this subpart
Pnc2 = final partial pressure of the noncondensable gas, as calculated using Equation 42 of this subpart
PT = pressure of the receiver
Where:
Pnc1 = initial partial pressure of the noncondensable gas in the vessel
Pnc2 = final partial pressure of the noncondensable gas in the vessel
P1 = initial vessel pressure
P2 = final vessel pressure
Pj = partial pressure of each condensable compound (including HAP) in the vessel
m = number of condensable compounds (including HAP) in the emission stream
j = identifier for a condensable compound
Where:
V = volume of empty vessel
R = ideal gas law constant
T1 = temperature of the vessel vapor space at beginning of purge
T2 = temperature of the receiver, absolute
(Pi)T1 = partial pressure of the individual HAP at the beginning of the purge
(Pi)T2 = partial pressure of the individual HAP at the receiver temperature
MWi = molecular weight of the individual HAP
F = flowrate of the purge gas
t = duration of the purge
n = number of HAP compounds in the emission stream
i = identifier for a HAP compound
Where:
QMWa, QMWb = mass flow rate of partially soluble or soluble HAP compounds, average of all runs, in wastewater entering (QMWa) or exiting (QMWb) the treatment process, kg/hr
[RHO] = density of the wastewater, kg/m3
Qa, k, Qbb, k = volumetric flow rate of wastewater entering (Qa, k) or exiting (Qb, k) the treatment process during each run k, m3/hr
CT, a, k, CT, b, k = total concentration of partially soluble or soluble HAP compounds in wastewater entering (CT, a, k) or exiting (CT, b, k) the treatment process during each run k, ppmw
p = number of runs
k = identifier for a run
106 = conversion factor, mg/kg
Where:
E = removal or destruction efficiency of the treatment process, percent
QMWa, QMWb = mass flow rate of partially soluble or soluble HAP compounds in wastewater entering (QMWa) and exiting (QMWb) the treatment process, kg/hr (as calculated using Equations 44 and 45 of this subpart)
Where:
QMWa = mass flow rate of partially soluble or soluble HAP compounds entering the combustion unit, kg/hr
[RHO] = density of the wastewater stream, kg/m3
Qa, k = volumetric flow rate of wastewater entering the combustion unit during run k, m3/hr
CT, a, k = total concentration of partially soluble or soluble HAP compounds in the wastewater stream entering the combustion unit during run k, ppmw
k = identifier for a run
p = number of runs
Where:
QMGb = mass rate of TOC (minus methane and ethane) or total partially soluble and/or soluble HAP, in vented gas stream, exiting (QMGb) the combustion device, dry basis, kg/hr
CGb, i = concentration of TOC (minus methane and ethane) or total partially soluble and/or soluble HAP, in vented gas stream, exiting (CGb, i) the combustion device, dry basis, ppmv
MWi = molecular weight of a component, kilogram/kilogram-mole
QGb = flow rate of gas stream exiting (QGb) the combustion device, dry standard cubic meters per hour
K2 = constant, 41.57 * 10-9 (parts per million)-1 (gram-mole per standard cubic meter) (kilogram/gram), where standard temperature (gram-mole per standard cubic meter) is 20 °C
i = identifier for a compound
n = number of components in the sample
Where:
E = destruction efficiency of partially soluble or soluble HAP compounds for the combustion unit, percent
QMW2a = mass flow rate of partially soluble or soluble HAP compounds entering the combustion unit, kg/hr
QMGb = mass flow rate of TOC (minus methane and ethane) or partially soluble and/or soluble HAP compounds in vented gas stream exiting the combustion treatment process, kg/hr
Where:
QMWa, i = the soluble and/or partially soluble HAP load entering a treatment process segment
QMWb, i = the soluble and/or partially soluble HAP load exiting a treatment process segment
n = the number of treatment process segments
i = identifier for a treatment process element
QMWbio = the inlet load of soluble and/or partially soluble HAP to the biological treatment process. The inlet is defined in accordance with paragraph (e)(2)(iii)(A)(6) of this section. If complying with paragraph (e)(2)(iii)(A)(6)(ii) of this section, QMWbio is equal to QMWb, n
Fbio = site-specific fraction of soluble and/or partially soluble HAP compounds biodegraded. Fbio shall be determined as specified in paragraph (e)(2)(iii)(E)(4) of this section and Appendix C of subpart G of this part.
QMWall = the total soluble and/or partially soluble HAP load to be treated.
Where:
E = removal and destruction efficiency of the treatment unit and control device(s), percent
QMWa, QMWb = mass flow rate of partially soluble and/or soluble HAP compounds in wastewater entering (QMWa) and exiting (QMWb) the treatment process, kilograms per hour (as calculated using Equations 44 and 45)
QMGb = mass flow rate of partially soluble and/or soluble HAP compounds in vented gas stream exiting the control device, kg/hr
Where:
CGa, i, CGb, i = concentration of TOC or total organic HAP, in vented gas stream, entering (CGa, i) and exiting (CGb, i) the control device, dry basis, ppmv
QMGa, QMGb = mass rate of TOC or total organic HAP, in vented gas stream, entering (QMGa) and exiting (QMGb) the control device, dry basis, kg/hr
Mwi = molecular weight of a component, kilogram/kilogram-mole
QGa,QGb = flow rate of gas stream entering (QGa) and exiting (QGb) the control device, dry standard cubic meters per hour
K2 = constant, 41.57 * 10-9 (parts per million)-1 (gram-mole per standard cubic meter) (kilogram/gram), where standard temperature (gram-mole per standard cubic meter) is 20 °C
i = identifier for a compound
n = number of components in the sample
Where:
E = destruction efficiency of control device, percent
QMGa,QMGb = mass rate of TOC or total organic HAP, in vented gas stream entering and exiting (QMGb) the control device, dry basis, kilograms per hour
Where:
[kg/kg]b = the baseline production-indexed HAP consumption factor, in kg/kg
Mprod = the annual production rate, in kg/yr
M = the annual reduction required by add-on controls, in kg/yr
PR = the fractional reduction in the annual kg/kg factor achieved using pollution prevention where PR is [GREATER THAN EQUAL TO]0.5
VOCreduced = (VFbase - VFP - VFannual) * Mprod (Eq. 56)
Where:
VOCreduced = required VOC emission reduction from add-on controls, kg/yr
VFbase = baseline VOC factor, kg VOC emitted/kg production
VFp = reduction in VOC factor achieved by pollution prevention, kg VOC emitted/kg production
VFannual = target annual VOC factor, kg VOC emitted/kg production
Mprod = production rate, kg/yr
Where:
Eij = yearly mass rate of total HAP at the inlet of the control device for tank j
Eoj = yearly mass rate of total HAP at the outlet of the control device for tank j
ETi = total yearly uncontrolled HAP emissions
ETo = total yearly actual HAP emissions
n = number of tanks included in the emissions average
Where:
R = overall percent reduction efficiency
D = discount factor = 1.1 for all controlled storage tanks
Where:
EUi = yearly uncontrolled emissions from process i.
ECi = yearly actual emissions for process i.
ETU = total yearly uncontrolled emissions.
ETC = total yearly actual emissions.
n = number of processes included in the emissions average.
Where:
R = overall percent reduction efficiency
D = discount factor = 1.1 for all controlled emission points
40 C.F.R. §63.1257