NC State Extension Publications

## Conversion Factors for Bioenergy

Conversion Factors for Bioenergy

This is a quick-reference list of conversion factors used by the Bioenergy Feedstock Development Programs at ORNL. It was compiled from a wide range of sources, and is designed to be concise and convenient rather than all-inclusive. Most conversion factors and data are given to only 3 significant figures. Users are encouraged to consult other original sources for independent verification of these numbers. The following are links to Web sites we have found useful (many universities worldwide maintain good guides and conversion calculator pages):

National Institute of Standards and Technology (NIST)

Measurement Converter

Energy contents are expressed here as Lower Heating Value (LHV) unless otherwise stated (this is closest to the actual energy yield in most cases). Higher Heating Value (HHV, including condensation of combustion products) is greater by between 5% (in the case of coal) and 10% (for natural gas), depending mainly on the hydrogen content of the fuel. For most biomass feedstocks this difference appears to be 6-7%.

Energy units

Quantities

•1.0 joule (J) = one Newton applied over a distance of one meter = 1.0 kg m2/s2. •1.0 joule = 0.239 calories (cal)

•1.0 calorie = 4.187 J

•1.0 gigajoule (GJ) = 109 joules = 0.948 million Btu = 239 million calories = 278 kWh •1.0 British thermal unit (Btu) = 1,055 joules (1.055 kJ)

•1.0 Quad = One quadrillion Btu (1015 Btu) = 1.055 exajoules (EJ), or approximately 172 million barrels of oil equivalent (boe)

•1,000 Btu/lb = 2.33 gigajoules per tonne (GJ/t)

•1,000 Btu/US gallon = 0.279 megajoules per liter (MJ/l) Energy Costs

•$1.00 per million Btu =$0.948/GJ

•$1.00/GJ =$1.055 per million BtuU.S.

Some common units of measure

•1.0 U.S. ton (short ton) = 2,000 pounds

•1.0 imperial ton (long ton or shipping ton) = 2,240 pounds

•1.0 metric tonne (tonne) = 1,000 kilograms = 2,205 pounds

•1.0 US gallon = 3.79 liter = 0.833 Imperial gallon

•1.0 imperial gallon = 4.55 liter = 1.20 US gallon

•1.0 liter = 0.264 US gallon = 0.220 imperial gallon

•1.0 US bushel = 0.0352 m3 = 0.97 UK bushel = 56 lb, 25 kg (corn or sorghum)

= 60 lb, 27 kg (wheat or soybeans) = 40 lb, 18 kg (barley)

Areas and crop yields

•1.0 hectare = 10,000 m2 (an area 100 m x 100 m, or 328 x 328 ft) = 2.47 acres

•1.0 km2 = 100 hectares = 247 acres

•1.0 acre = 0.405 hectares

•1.0 US ton/acre = 2.24 t/ha

•1 metric tonne/hectare = 0.446 ton/acre

•100 g/m2 = 1.0 tonne/hectare = 892 lb/acre

•Example: a bioenergy crop yield of 5.0 US tons/acre (10,000 lb/acre)

= 11.2 tonnes/hectare (1,120 g/m2)

Biomass energy

•Cord : a stack of wood comprising 128 cubic feet (3.62 m3); standard dimensions are 4 x 4 x 8 feet, including air space and bark. One cord contains approx. 1.2 U.S. tons (oven-dry) = 2,400 pounds = 1,089 kg

•1.0 metric tonne wood = 1.4 cubic meters (solid wood, not stacked)

•Energy content of wood fuel (HHV, bone dry) = 18-22 GJ/t (7,600-9,600 Btu/lb)

•Energy content of wood fuel (air dry, 20% moisture) = about 15 GJ/t (6,400 Btu/lb)

•Energy content of agricultural residues (range due to moisture content) = 10-17 GJ/t (4,300-7,300 Btu/lb)

•Metric tonne charcoal = 30 GJ (= 12,800 Btu/lb) (usually derived from 6-12 tons air-dry wood, i.e. 90-180 GJ original energy content)

•Metric tonne ethanol = 7.94 petroleum barrels = 1262 liters

oethanol energy content (LHV) = 11,500 Btu/lb = 75,700 Btu/gallon = 26.7 GJ/t

= 21.1 MJ/liter. HHV for ethanol = 84,000 Btu/gallon = 89 MJ/gallon = 23.4

MJ/liter

oethanol density (average) = 0.79 g/ml ( = metric tonnes/m3)

•Metric tonne biodiesel = 37.8 GJ (33.3 - 35.7 MJ/liter)

obiodiesel density (average) = 0.88 g/ml ( = metric tonnes/m3)

Fossil fuels

Barrel of oil equivalent (boe) = approx. 6.1 GJ (5.8 million Btu), equivalent to 1,700 kWh. "Petroleum barrel" is a liquid measure equal to 42 U.S. gallons (35 Imperial gallons or 159 liters);

•Metric tonne of oil () is about 7.2 barrels oil = 42-45 GJ.

•Gasoline: US gallon = 115,000 Btu = 121 MJ = 32 MJ/liter (LHV). HHV = 125,000 Btu/gallon = 132 MJ/gallon = 35 MJ/liter

•Metric tonne gasoline = 8.53 barrels = 1356 liter = 43.5 GJ/t (LHV); 47.3 GJ/t (HHV) gasoline density (average) = 0.73 g/ml ( = metric tonnes/m3)

Petro-diesel = 130,500 Btu/gallon (36.4 MJ/liter or 42.8 GJ/t) opetro-diesel density (average) = 0.84 g/ml ( = metric tonnes/m3) oNote that the energy content (heating value) of petroleum products per unit mass is fairly constant, but their density differs significantly – hence the energy content of a liter, gallon, etc. varies between gasoline, diesel, kerosene.

Metric tonne coal = 27-30 GJ (bituminous/anthracite); 15-19 GJ (lignite/sub-bituminous) (the above ranges are equivalent to 11,500-13,000 Btu/lb and 6,500-8,200 Btu/lb). oNote that the energy content (heating value) per unit mass varies greatly between different "ranks" of coal. "Typical" coal (rank not specified) usually means bituminous coal, the most common fuel for power plants (27 GJ/t).

Natural gas: HHV = 1027 Btu/ft3 = 38.3 MJ/m3; LHV = 930 Btu/ft3 = 34.6 MJ/m3 oTherm (used for natural gas, methane) = 100,000 Btu (= 105.5 MJ)

Carbon content of fossil fuels and bioenergy feedstocks

coal (average) = 25.4 metric tonnes carbon per terajoule (TJ) o1.0 metric tonne coal = 746 kg carbon •oil (average) = 19.9 metric tonnes carbon / TJ

•1.0 US gallon gasoline (0.833 Imperial gallon, 3.79 liter) = 2.42 kg carbon

•1.0 US gallon diesel/fuel oil (0.833 Imperial gallon, 3.79 liter) = 2.77 kg carbon

natural gas (methane) = 14.4 metric tonnes carbon / TJ

•1.0 cubic meter natural gas (methane) = 0.49 kg carbon •carbon content of bioenergy feedstocks: approx. 50% for woody crops or wood waste; approx. 45% for grass (graminaceous) crops or agricultural residues

# Authors

Extension Specialist and Associate Professor
Forestry & Environmental Resources
Associate Dean of Extension, Department Extension Leader & Professor
Forestry & Environmental Resources