Calorie (thermochemical)

cal=4.184 J\mathrm{cal} = 4.184\ \text{J}
Value4.184 J
StatusExact by definition — no uncertainty
SourceNIST SP 811; ISO 31-4
CategoriesThermodynamicChemistry
Calorie (thermochemical) in every energy unit
electron volt2.6114474e+19 eV
hartree9.5968922e+17 Eh
kiloelectron volt2.6114474e+16 keV
megaelectron volt26,114,474,000,000 MeV
gigaelectron volt26,114,474,000 GeV
nanojoule4,184,000,000 nJ
erg41,840,000 erg
teraelectron volt26,114,474 TeV
microjoule4,184,000 µJ
millijoule4,184 mJ
inch-pound37.03152 in·lb
joule4.184 J
foot-pound3.08596 ft⋅lb
calorie1 cal
calorie (International Table)0.99933123 cal IT
kilojoule0.004184 kJ
BTU (thermochemical)0.0039683207 BTU th
British thermal unit0.0039656668 BTU
watt-hour0.0011622222 Wh
kilocalorie0.001 kcal
megajoule0.000004184 MJ
horsepower-hour0.0000015585657 hp·h
kilowatt-hour0.0000011622222 kWh
therm3.9656668e-08 therm
gigajoule4.1840000e-09 GJ
million BTU3.9656668e-09 MMBTU
megawatt-hour1.1622222e-09 MWh
ton of TNT1.0000000e-09 t TNT
tonne of oil equivalent9.9933123e-11 toe
terajoule4.1840000e-12 TJ
gigawatt-hour1.1622222e-12 GWh
kiloton of TNT1.0000000e-12 kt TNT
petajoule4.1840000e-15 PJ
terawatt-hour1.1622222e-15 TWh
megaton of TNT1.0000000e-15 Mt TNT
quad3.9656668e-18 quad

Learning zone

The calorie was defined as the heat needed to raise one gram of water by one degree Celsius, but water's specific heat varies with temperature, so the definition had to specify which degree — producing a small family of incompatible calories. The thermochemical calorie was fixed at exactly 4.184 J to end the argument, while the international-table calorie used in steam work is exactly 4.1868 J, and the 15 °C calorie is about 4.1855 J.

The unit persists in three places: chemistry, where bond and reaction energies are still often quoted in kcal/mol; nutrition, where the capital-C Calorie on a food label is a kilocalorie, so a 500-Calorie meal is 2.09 megajoules; and older HVAC and refrigeration literature. SI has deprecated it, but a kcal/mol is such a convenient size for chemical energies — about 4.184 kJ/mol, roughly the strength of a hydrogen bond — that it refuses to die.