# Greenhouse Gases Equivalencies Calculator – Calculations and References

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# Greenhouse Gases Equivalencies Calculator – Calculations and References

A note on global warming potentials (GWPs): Some of the equivalencies in the calculator are reported as CO2 equivalents (CO2E). These are calculated using GWPs from the Intergovernmental Panel on Climate Change’s Fourth Assessment Report.

## Electricity Reductions (kilowatt-hours)

The Greenhouse Gas Equivalencies Calculator uses the Emissions & Generation Resource Integrated Database (eGRID) U.S. annual non-baseload CO2 output emission rate to convert reductions of kilowatt-hours into avoided units of carbon dioxide emissions. Most users of the Equivalencies Calculator who seek equivalencies for electricity-related emissions want to know equivalencies for emissions reductions from energy efficiency or renewable energy programs. These programs are not generally assumed to affect baseload emissions (the emissions from power plants that run all the time), but rather non-baseload generation (power plants that are brought online as necessary to meet demand). For that reason, the Equivalencies Calculator uses a non-baseload emission rate.

### Emission Factor

7.03 × 10-4 metric tons CO2 / kWh
(eGRID, U.S. annual non-baseload CO2 output emission rate, year 2012 data)

Notes:

• This calculation does not include any greenhouse gases other than CO2.
• This calculation does not include line losses.
• Individual subregion non-baseload emissions rates are also available on the eGRID Web site.

### Sources

• EPA (2015) eGRID, U.S. annual non-baseload CO2 output emission rate, year 2012 data. U.S. Environmental Protection Agency, Washington, DC.

## Gallons of gasoline consumed

To obtain the number of grams of CO2 emitted per gallon of gasoline combusted, the heat content of the fuel per gallon is multiplied by the kg CO2 per heat content of the fuel. In the preamble to the joint EPA/Department of Transportation rulemaking on May 7, 2010 that established the initial National Program fuel economy standards for model years 2012-2016, the agencies stated that they had agreed to use a common conversion factor of 8,887 grams of CO2 emissions per gallon of gasoline consumed (Federal Register 2010).

This value assumes that all the carbon in the gasoline is converted to CO2 (IPCC 2006).

### Calculation

8,887 grams of CO2 /gallon of gasoline =8.887 × 10-3 metric tons CO2/gallon of gasoline

## Passenger vehicles per year

Passenger vehicles are defined as 2-axle 4-tire vehicles, including passenger cars, vans, pickup trucks, and sport/utility vehicles.

In 2013, the weighted average combined fuel economy of cars and light trucks combined was 21.6 miles per gallon (FHWA 2015). The average vehicle miles traveled in 2013 was 11,346 miles per year.

In 2013, the ratio of carbon dioxide emissions to total greenhouse gas emissions (including carbon dioxide, methane, and nitrous oxide, all expressed as carbon dioxide equivalents) for passenger vehicles was 0.986 (EPA 2015).

The amount of carbon dioxide emitted per gallon of motor gasoline burned is 8.89 × 10-3 metric tons, as calculated in the “Gallons of gasoline consumed” section above.

To determine annual greenhouse gas emissions per passenger vehicle, the following methodology was used: vehicle miles traveled (VMT) was divided by average gas mileage to determine gallons of gasoline consumed per vehicle per year. Gallons of gasoline consumed was multiplied by carbon dioxide per gallon of gasoline to determine carbon dioxide emitted per vehicle per year. Carbon dioxide emissions were then divided by the ratio of carbon dioxide emissions to total vehicle greenhouse gas emissions to account for vehicle methane and nitrous oxide emissions.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

8.89 × 10-3 metric tons CO2/gallon gasoline × 11,346 VMT car/truck average × 1/21.46 miles per gallon car/truck average × 1 CO2, CH4, and N2O/0.986 CO2 = 4.73 metric tons CO2E /vehicle/year

## Miles driven by the average passenger vehicle

Passenger vehicles are defined as 2-axle 4-tire vehicles, including passenger cars, vans, pickup trucks, and sport/utility vehicles.

In 2013, the weighted average combined fuel economy of cars and light trucks combined was 21.6 miles per gallon (FHWA 2015). In 2013, the ratio of carbon dioxide emissions to total greenhouse gas emissions (including carbon dioxide, methane, and nitrous oxide, all expressed as carbon dioxide equivalents) for passenger vehicles was 0.986 (EPA 2015).

The amount of carbon dioxide emitted per gallon of motor gasoline burned is 8.89 × 10-3 metric tons, as calculated in the “Gallons of gasoline consumed” section above.

To determine annual greenhouse gas emissions per mile, the following methodology was used: carbon dioxide emissions per gallon of gasoline were divided by the average fuel economy of vehicles to determine carbon dioxide emitted per mile traveled by a typical passenger vehicle. Carbon dioxide emissions were then divided by the ratio of carbon dioxide emissions to total vehicle greenhouse gas emissions to account for vehicle methane and nitrous oxide emissions.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

8.89 × 10-3 metric tons CO2/gallon gasoline × 1/21.46 miles per gallon car/truck average × 1 CO2, CH4, and N2O/0.986 CO2 = 4.17 x 10-4 metric tons CO2E /mile

## Therms and Mcf of natural gas

Carbon dioxide emissions per therm are determined by multiplying heat content times the carbon coefficient times the fraction oxidized times the ratio of the molecular weight ratio of carbon dioxide to carbon (44/12).

The average heat content of natural gas is 0.1 mmbtu per therm (EPA 2015). The average carbon coefficient of natural gas is 14.46 kg carbon per mmbtu (EPA 2015). The fraction oxidized to CO2 is 100 percent (IPCC 2006).

Note: When using this equivalency, please keep in mind that it represents the CO2 equivalency for natural gas burned as a fuel, not natural gas released to the atmosphere. Direct methane emissions released to the atmosphere (without burning) are about 25 times more powerful than CO2 in terms of their warming effect on the atmosphere.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

0.1 mmbtu/1 therm × 14.46 kg C/mmbtu × 44 kg CO2/12 kg C × 1 metric ton/1,000 kg = 0.005302 metric tons CO2/therm

Carbon dioxide emissions per therm can be converted to carbon dioxide emissions per thousand cubic feet (Mcf) using the average heat content of natural gas in 2015, 10.32 therms/Mcf (EIA 2016).

0.005302 metric tons CO/therm x 10.32 therms/Mcf = 0.054717 metric tons CO2/Mcf

## Barrels of oil consumed

Carbon dioxide emissions per barrel of crude oil are determined by multiplying heat content times the carbon coefficient times the fraction oxidized times the ratio of the molecular weight of carbon dioxide to that of carbon (44/12).

The average heat content of crude oil is 5.80 mmbtu per barrel (EPA 2015). The average carbon coefficient of crude oil is 20.31 kg carbon per mmbtu (EPA 2015). The fraction oxidized is 100 percent (IPCC 2006).

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

5.80 mmbtu/barrel × 20.31 kg C/mmbtu × 44 kg CO2/12 kg C × 1 metric ton/1,000 kg = 0.43 metric tons CO2/barrel

## Tanker trucks filled with gasoline

The amount of carbon dioxide emitted per gallon of motor gasoline burned is 8.89 × 10-3 metric tons, as calculated in the “Gallons of gasoline consumed” section above. A barrel equals 42 gallons. A typical gasoline tanker truck contains 8,500 gallons.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

8.89 × 10-3 metric tons CO2/gallon × 8,500 gallons/tanker truck = 75.54 metric tons CO2/tanker truck

## Number of incandescent bulbs switched to light-emitting diode bulbs

A 9 watt light-emitting diode (LED) bulb produces the same light output as a 43 watt incandescent light bulb. Annual energy consumed by a light bulb is calculated by multiplying the power (43 watts) by the average daily use (3 hours / day) by the number of days per year (365). Assuming an average daily use of 3 hours per day, an incandescent bulb consumes 47.1 kWh per year, and an LED bulb consumes 9.9 kWh per year (EPA 2015a). Annual energy savings from replacing an incandescent light bulb with an equivalent LED bulb are calculated by subtracting the annual energy consumption of the LED bulb (9.9 kWh) from the annual energy consumption of the incandescent bulb (47.1 kWh).

Carbon dioxide emissions reduced per light bulb switched from an incandescent bulb to a light-emitting diode bulb are calculated by multiplying annual energy savings by the national average non-baseload carbon dioxide output rate for delivered electricity. The national average non-baseload carbon dioxide output rate for generated electricity in 2012 was 1,549 lbs CO2 per megawatt-hour (EPA 2015b), which translates to about 1,670.5 lbs CO2 per megawatt-hour for delivered electricity (assuming transmission and distribution losses at 7.3%) (EIA 2015; EPA 2015b).1

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

34 watts x 3 hours / day x 365 days / year x 1 kWh / 1,000 Wh = 37.2 kWh / year / bulb replaced

37.2 kWh / bulb / year x 1,671 pounds CO2 / MWh delivered electricity x 1 MWh / 1,000 kWh x 1 metric ton / 2,204.6 lbs = 2.82 x 10-2 metric tons CO2 / bulb replaced

## Home electricity use

In 2014, 115.5 million homes in the United States consumed 1,407 billion kilowatt-hours (kWh) of electricity (EIA 2015a). On average, each home consumed 12,183 kWh of delivered electricity (EIA 2015a). The national average carbon dioxide output rate for electricity generated in 2012 was 1,136.5 lbs CO2 per megawatt-hour (EPA 2015), which translates to about 1,225.4 lbs CO2 per megawatt-hour for delivered electricity, assuming transmission and distribution losses at 7.3% (EIA 2015b; EPA 2015).1

Annual home electricity consumption was multiplied by the carbon dioxide emission rate (per unit of electricity delivered) to determine annual carbon dioxide emissions per home.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

12,183 kWh per home × 1,136.5 lbs CO2 per megawatt-hour generated × 1/(1-0.073) MWh delivered/MWh generated × 1 MWh/1,000 kWh × 1 metric ton/2,204.6 lb = 6.772 metric tons CO2/home.

## Home energy use

In 2015, there were 115.5 million homes in the United States (EIA 2015a). On average, each home consumed 12,183 kWh of delivered electricity. Nationwide household consumption of natural gas, liquefied petroleum gas, and fuel oil totaled 4.78, 0.37, and 0.47 quadrillion Btu, respectively, in 2015 (EIA 2015a). Averaged across households in the United States, this amounts to 40,335 cubic feet of natural gas, 35 gallons of liquefied petroleum gas, and 29 gallons of fuel oil per home.

The national average carbon dioxide output rate for generated electricity in 2012 was 1,136.5 lbs CO2 per megawatt-hour (EPA 2015a), which translates to about 1,225.4 lbs CO2 per megawatt-hour for delivered electricity (assuming transmission and distribution losses at 7.3%) (EIA 2015b; EPA 2015a).1

The average carbon dioxide coefficient of natural gas is 0.0545 kg CO2 per cubic foot (EPA 2015b). The fraction oxidized to CO2 is 100 percent (IPCC 2006).

The average carbon dioxide coefficient of distillate fuel oil is 429.61 kg CO2 per 42-gallon barrel (EPA 2015b). The fraction oxidized to CO2 is 100 percent (IPCC 2006).

The average carbon dioxide coefficient of liquefied petroleum gases is 238.7 kg CO2 per 42-gallon barrel (EPA 2015b). The fraction oxidized is 100 percent (IPCC 2006).

Total home electricity, natural gas, distillate fuel oil, and liquefied petroleum gas consumption figures were converted from their various units to metric tons of CO2 and added together to obtain total CO2 emissions per home.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

1. Electricity: 12,183 kWh per home × 1,137 lbs CO2 per megawatt-hour generated × (1/(1-0.073)) MWh generated/MWh delivered × 1 MWh/1,000 kWh × 1 metric ton/2,204.6 lb = 6.772 metric tons CO2/home.

2. Natural gas: 40,335 cubic feet per home × 0.0545 kg CO2/cubic foot × 1/1,000 kg/metric ton = 2.20 metric tons CO2/home

3. Liquid petroleum gas: 34.9 gallons per home × 1/42 barrels/gallon × 238.7 kg CO2/barrel × 1/1,000 kg/metric ton = 0.20 metric tons CO2/home

4. Fuel oil: 29.4 gallons per home × 1/42 barrels/gallon × 429.61 kg CO2/barrel × 1/1,000 kg/metric ton = 0.30 metric tons CO2/home

Total CO2 emissions for energy use per home: 6.772 metric tons CO2 for electricity + 2.20 metric tons CO2 for natural gas + 0.20 metric tons CO2 for liquid petroleum gas + 0.30 metric tons CO2 for fuel oil = 9.47 metric tons CO2 per home per year.

## Number of tree seedlings grown for 10 years

A medium growth coniferous tree, planted in an urban setting and allowed to grow for 10 years, sequesters 23.2 lbs of carbon. This estimate is based on the following assumptions:

• The medium growth coniferous trees are raised in a nursery for one year until they become 1 inch in diameter at 4.5 feet above the ground (the size of tree purchased in a 15-gallon container).
• The nursery-grown trees are then planted in a suburban/urban setting; the trees are not densely planted.
• The calculation takes into account “survival factors” developed by U.S. DOE (1998). For example, after 5 years (one year in the nursery and 4 in the urban setting), the probability of survival is 68 percent; after 10 years, the probability declines to 59 percent. For each year, the sequestration rate (in lbs per tree) is multiplied by the survival factor to yield a probability-weighted sequestration rate. These values are summed for the 10-year period, beginning from the time of planting, to derive the estimate of 23.2 lbs of carbon per tree.

Please note the following caveats to these assumptions:

• While most trees take 1 year in a nursery to reach the seedling stage, trees grown under different conditions and trees of certain species may take longer: up to 6 years.
• Average survival rates in urban areas are based on broad assumptions, and the rates will vary significantly depending upon site conditions.
• Carbon sequestration is dependent on growth rate, which varies by location and other conditions.
• This method estimates only direct sequestration of carbon, and does not include the energy savings that result from buildings being shaded by urban tree cover.

To convert to units of metric tons CO2 per tree, multiply by the ratio of the molecular weight of carbon dioxide to that of carbon (44/12) and the ratio of metric tons per pound (1/2,204.6).

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

23.2 lbs C/tree × (44 units CO2 / 12 units C) × 1 metric ton / 2,204.6 lbs = 0.039 metric ton CO2 per urban tree planted

## Acres of U.S. forests storing carbon for one year

Growing forests accumulate and store carbon. Through the process of photosynthesis, trees remove CO2 from the atmosphere and store it as cellulose, lignin, and other compounds. The rate of accumulation is equal to growth minus removals (i.e., harvest for the production of paper and wood) minus decomposition. In most U.S. forests, growth exceeds removals and decomposition, so the amount of carbon stored nationally is increasing overall.

### Calculation for U.S. Forests

The Inventory of U.S. Greenhouse Gas Emissions and Sinks: 1990–2013 (EPA 2015) provides data on the net change in forest carbon stocks and forest area. Net changes in carbon attributed to harvested wood products are not included in the calculation.

Annual Net Change in Carbon Stocks per Area in Year n = (Carbon Stocks(t+1) – Carbon Stockst) / Area of land remaining in the same land-use category

Step 1: Determine the carbon stock change between years by subtracting carbon stocks in year t from carbon stocks in year (t+1). (This includes carbon stocks in the above-ground biomass, below-ground biomass, dead wood, litter, and soil organic carbon pools.)

Step 2: Determine the annual net change in carbon stocks (i.e., sequestration) per area by dividing the carbon stock change in U.S. forests from Step 1 by the total area of U.S. forests remaining in forests in year n+1 (i.e., the area of land that did not change land-use categories between the time periods).

Applying these calculations to data developed by the USDA Forest Service for the Inventory of U.S. Greenhouse Gas Emissions and Sinks: 1990–2013 yields a result of 149 metric tons of carbon per hectare (or 60 metric tons of carbon per acre) for the carbon stock density of U.S. forests in 2013, with an annual net change in carbon stock per area in 2013 of 0.71 metric tons of carbon sequestered per hectare per year (or 0.29 metric tons of carbon sequestered per acre per year). These values include carbon in the five forest pools: above-ground biomass, below-ground biomass, deadwood, litter, and soil organic carbon, and are based on state-level Forest Inventory and Analysis (FIA) data. Forest carbon stocks and carbon stock change are based on the stock difference methodology and algorithms described by Smith, Heath, and Nichols (2010).

### Conversion Factor for Carbon Sequestered in One Year by 1 Acre of Average U.S. Forest

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

-0.29 metric ton C/acre/year* x (44 units CO2 / 12 units C) = –1.06 metric ton CO2 sequestered annually by one acre of average U.S. forest.

*Negative values indicate carbon sequestration.

Please note that this is an estimate for “average” U.S. forests in 2013; i.e., for U.S. forests as a whole in 2013. Significant geographical variations underlie the national estimates, and the values calculated here might not be representative of individual regions, states, or changes in the species composition of additional acres of forest.

To estimate carbon sequestered (in metric tons of CO2) by additional forestry acres in one year, simply multiply the number of acres by 1.06 mt CO2 acre/year. From 2003–2013 the average annual sequestration of carbon per area was 0.72 metric tons C hectare/year (or 0.29 metric tons C acre/year) in the United States, with a minimum value of 0.69 metric tons C hectare/year (or 0.28 metric tons C acre/year) in 2003, and a maximum value of 0.75 metric tons C hectare/year (or 0.30 metric tons C acre/year) in 2006.

## Acres of U.S. forest preserved from conversion to cropland

Based on data developed by the USDA Forest Service for the Inventory of U.S. Greenhouse Gas Emissions and Sinks: 1990–2013, the carbon stock density of U.S. forests in 2013 was 149 metric tons of carbon per hectare (or 60 metric tons of carbon per acre) (EPA 2015). This estimate is composed of the five carbon pools: aboveground biomass (55 metric tons C/hectare), belowground biomass (11 metric tons C /hectare), dead wood (10 metric tons C/hectare), litter (10 metric tons/C hectare), and soil organic carbon (63 metric tons C/hectare).

The Inventory of U.S. Greenhouse Gas Emissions and Sinks: 1990–2013 estimates soil carbon stock changes using U.S.-specific equations and data from the USDA Natural Resource Inventory and the Century biogeochemical model (EPA 2015). When calculating carbon stock changes in biomass due to conversion from forestland to cropland, the IPCC guidelines indicate that the average carbon stock change is equal to the carbon stock change due to removal of biomass from the outgoing land use (i.e., forestland) plus the carbon stocks from one year of growth in the incoming land use (i.e., cropland), or the carbon in biomass immediately after the conversion minus the carbon in biomass prior to the conversion plus the carbon stocks from one year of growth in the incoming land use (i.e., cropland) (IPCC 2006). The carbon stock in annual cropland biomass after one year is 5 metric tons C per hectare, and the carbon content of dry aboveground biomass is 45 percent (IPCC 2006). Therefore, the carbon stock in cropland after one year of growth is estimated to be 2.25 metric tons C per hectare (or 0.91 metric tons C per acre).

The averaged reference soil carbon stock (for high-activity clay, low-activity clay, and sandy soils for all climate regions in the United States) is 40.83 metric tons C/hectare (EPA 2015). Carbon stock change in soils is time-dependent, with a default time period for transition between equilibrium soil organic carbon values of 20 years for mineral soils in cropland systems (IPCC 2006). Consequently, it is assumed that the change in equilibrium mineral soil organic carbon will be annualized over 20 years to represent the annual flux. The IPCC (2006) guidelines indicate that there are insufficient data to provide a default approach or parameters to estimate carbon stock change from dead organic matter pools or below-ground carbon stocks in perennial cropland (IPCC 2006).

### Calculation for Converting U.S. Forests to U.S. Cropland

Annual Change in Biomass Carbon Stocks on Land Converted to Other Land-Use Category

∆CB = ∆CG + CConversion – ∆CL

Where:

∆CB = annual change in carbon stocks in biomass on land converted to another land-use category

∆CG = annual increase in carbon stocks in biomass due to growth on land converted to another land-use category (i.e., 2.25 metric tons C/hectare)

CConversion = initial change in carbon stocks in biomass on land converted to another land-use category. The sum of the carbon stocks in aboveground, belowground, deadwood, and litter biomass (-85.69 metric tons C/hectare). Immediately after conversion from forestland to cropland, biomass is assumed to be zero, as the land is cleared of all vegetation before planting crops)

∆CL = annual decrease in biomass stocks due to losses from harvesting, fuel wood gathering, and disturbances on land converted to other land-use category (assumed to be zero)

Therefore: ∆CB = ∆CG + CConversion – ∆CL = -83.44  metric tons C/hectare/year of biomass carbon stocks are lost when forestland is converted to cropland in the year of conversion.

Annual Change in Organic Carbon Stocks in Mineral Soils

∆CMineral = (SOC0 – SOC(0T)) / D

Where:

∆CMineral = annual change in carbon stocks in mineral soils

SOC0 = soil organic carbon stock in last year of inventory time period (i.e., 40.83 mt/hectare)

SOC(0T) = soil organic carbon stock at beginning of inventory time period (i.e., 63 mt C/hectare)

D = Time dependence of stock change factors which is the default time period for transition between equilibrium SOC values (i.e., 20 years for cropland systems)

Therefore: ∆CMineral = (SOC0 – SOC(0-T)) / D = (40.83 – 63) / 20 = -1.11 metric tons C/hectare/year of soil organic C lost.

Source: (IPCC 2006).

Consequently, the change in carbon density from converting forestland to cropland would be -83.44 metric tons of C/hectare/year of biomass plus -1.11 metric tons C/hectare/year of soil organic C, equaling a total loss of 84.55 metric tons C/hectare/ year (or -34.22 metric tons C/acre/year) in the year of conversion. To convert to carbon dioxide, multiply by the ratio of the molecular weight of carbon dioxide to that of carbon (44/12), to yield a value of -310.02 metric tons CO2 hectare/year (or -125.46 metric tons CO2 acre/year) in the year of conversion.

### Conversion Factor for Carbon Sequestered by 1 Acre of Forest Preserved from Conversion to Cropland

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

-34.22 metric tons C/acre/year* x (44 units CO2 / 12 units C) = -125.46 metric tons CO2/acre/year (in the year of conversion)

*Negative values indicate CO2 that is NOT emitted.

To estimate CO2 not emitted when an acre of forest is preserved from conversion to cropland, simply multiply the number of acres of forest not converted by -125.46 mt CO2e/acre/year. Note that this represents CO2 avoided in the year of conversion. Please also note that this calculation method assumes that all of the forest biomass is oxidized during clearing (i.e., none of the burned biomass remains as charcoal or ash). Also note that this estimate only includes mineral soil carbon stocks, as most forests in the contiguous United States are growing on mineral soils. In the case of mineral soil forests, soil carbon stocks could be replenished or even increased, depending on the starting stocks, how the agricultural lands are managed, and the time frame over which lands are managed.

## Propane cylinders used for home barbecues

Propane is 81.7 percent carbon (EPA 2015). The fraction oxidized is 100 percent (IPCC 2006).

Carbon dioxide emissions per pound of propane were determined by multiplying the weight of propane in a cylinder times the carbon content percentage times the fraction oxidized times the ratio of the molecular weight of carbon dioxide to that of carbon (44/12). Propane cylinders vary with respect to size; for the purpose of this equivalency calculation, a typical cylinder for home use was assumed to contain 18 pounds of propane.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

18 pounds propane/1 cylinder × 0.817 pounds C/pound propane × 0.4536 kilograms/pound × 44 kg CO2/12 kg C × 1 metric ton/1,000 kg = 0.024 metric tons CO2/cylinder

## Railcars of coal burned

The average heat content of coal consumed in the U.S. in 2014 was 21.63 mmbtu per metric ton (EIA 2015). The average carbon coefficient of coal combusted for electricity generation in 2014 was 26.05 kilograms carbon per mmbtu (EPA 2015). The fraction oxidized is 100 percent (IPCC 2006).

Carbon dioxide emissions per ton of coal were determined by multiplying heat content times the carbon coefficient times the fraction oxidized times the ratio of the molecular weight of carbon dioxide to that of carbon (44/12). The amount of coal in an average railcar was assumed to be 100.19 short tons, or 90.89 metric tons (Hancock 2001).

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

21.63 mmbtu/metric ton coal × 26.05 kg C/mmbtu × 44 kg CO2/12 kg C × 90.89 metric tons coal/railcar × 1 metric ton/1,000 kg = 187.78 metric tons CO2/railcar

## Pounds of coal burned

The average heat content of coal consumed in the U.S. in 2014 was 21.63 mmbtu per metric ton (EIA 2015). The average carbon coefficient of coal combusted for electricity generation in 2014 was 26.05 kilograms carbon per mmbtu (EPA 2015). The fraction oxidized is 100 percent (IPCC 2006).

Carbon dioxide emissions per pound of coal were determined by multiplying heat content times the carbon coefficient times the fraction oxidized times the ratio of the molecular weight of carbon dioxide to that of carbon (44/12).

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

21.63 mmbtu/metric ton coal × 26.05 kg C/mmbtu × 44 kg CO2/12 kg C × 1 metric ton coal / 2,204.6 pound of coal x 1 metric ton/1,000 kg = 9.37 x 10-4 metric tons CO2/pound of coal

## Tons of waste recycled instead of landfilled

To develop the conversion factor for recycling rather than landfilling waste, emission factors from EPA’s Waste Reduction Model (WARM) were used (EPA 2014). These emission factors were developed following a life-cycle assessment methodology using estimation techniques developed for national inventories of greenhouse gas emissions. According to WARM, the net emission reduction from recycling mixed recyclables (e.g., paper, metals, plastics), compared with a baseline in which the materials are landfilled, is 0.86 metric tons of carbon equivalent per short ton. This factor was then converted to metric tons of carbon dioxide equivalent by multiplying by 44/12, the molecular weight ratio of carbon dioxide to carbon.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

0.86 metric tons of carbon equivalent/ton × 44 kg CO2/12 kg C = 3.15 metric tons CO2 equivalent /ton of waste recycled instead of landfilled

## Number of garbage trucks of waste recycled instead of landfilled

The carbon dioxide equivalent emissions avoided from recycling instead of landfilling 1 ton of waste are 3.15 metric tons CO2 equivalent per ton, as calculated in the “Tons of waste recycled instead of landfilled” section above.

Carbon dioxide emissions reduced per garbage truck full of waste were determined by multiplying emissions avoided from recycling instead of landfilling 1 ton of waste by the amount of waste in an average garbage truck. The amount of waste in an average garbage truck was assumed to be 7 tons (EPA 2002).

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

3.15 metric tons CO2 equivalent /ton of waste recycled instead of landfilled x 7 tons / garbage truck = 22.06 metric tons CO2E /garbage truck of waste recycled instead of landfilled

## Coal-fired power plant emissions for one year

In 2012, a total of 411 power plants used coal to generate at least 95% of their electricity (EPA 2015). These plants emitted 1,412,038,949 metric tons of CO2 in 2012.

Carbon dioxide emissions per power plant were calculated by dividing the total emissions from power plants whose primary source of fuel was coal by the number of power plants.

### Calculation

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

1,412,038,949 metric tons of CO2 × 1/411 power plants = 3,435,617.88 metric tons CO2/power plant

### Sources

• EPA (2015). eGRID year 2012 data. U.S. Environmental Protection Agency, Washington, DC.

## Number of wind turbines installed

In 2014, the average nameplate capacity of wind turbines installed in the U.S. was 1.92 MW (DOE 2015). The average wind capacity factor in the U.S. in 2014 was 34 percent (DOE 2015).

Electricity generation from an average wind turbine was determined by multiplying the average nameplate capacity of a wind turbine in the U.S. (1.92 MW) by the average U.S. wind capacity factor (0.34) and by the number of hours per year. It was assumed that the electricity generated from an installed wind turbine would replace marginal sources of grid electricity.

The U.S. annual wind national marginal emission rate to convert reductions of kilowatt-hours into avoided units of carbon dioxide emissions is 7.03 x 10-4 (EPA 2015).

Carbon dioxide emissions avoided per wind turbine installed were determined by multiplying the average electricity generated per wind turbine in a year by the national average non-baseload grid electricity CO2 output rate (EPA 2015).

Note: Due to rounding, performing the calculations given in the equations below may not return the exact results shown.

1.92 MWaverage capacity x 0.34 x 8,760 hours / year x 1,000 kWh/MWh x 7.0278 x 10-4 metric tons CO2 / kWh reduced = 3,960 metric tons CO2 / wind turbine installed

### Sources

• DOE (2015). 2014 Wind Technologies Market Report (93 pp, 3.6 M, About PDF) U.S. Department of Energy, Energy Efficiency and Renewable Energy Division.
• EPA (2015) eGRID, U.S. annual non-baseload CO2 output emission rate, year 2012 data. U.S. Environmental Protection Agency, Washington, DC.

1 The annual 2014 U.S. transmission and distribution losses were determined as ((Net Generation to the Grid + Net Imports – Total Electricity Sales) / Total Electricity Sales) (i.e., (3,916 + 47 – 3,695) / 3,695 = 7.25%). The data is from the Annual Energy Outlook 2015, Table A8 available at: http://www.eia.gov/forecasts/aeo/