J/mol\text{J/mol}

joule per mole

Molar energyexact by definition

The joule per mole is the coherent SI unit of molar energy, used for enthalpies of reaction and formation, activation energies, and the gas constant R = 8.314 J/(mol·K). Its factor of 1 is exact. Most chemical energies are large in this unit, so kJ/mol is more common in practice.

1 J/mol\text{J/mol} 0.001 kJ/mol\text{kJ/mol}

About the joule per mole

The joule per mole is the size of the gas constant, and that is where a reader actually meets it: R=8.314R = 8.314 J/(mol·K), so RT at 25 °C is about 2478 J/mol. Thermodynamics keeps wanting that product, in Boltzmann factors, in the Nernst equation, in the barometric formula, and J/mol is the scale on which RT stays a comfortable four-digit number. The Arrhenius and Gibbs solvers on this site take their energies in this unit's kilo-multiple, and the factor of 1000 between the two is the working conversion.

Bare J/mol, without the kilo, is the right size only for the feeblest interactions chemistry knows. The benchmark is the helium dimer, the weakest bound molecule ever observed: its well depth is about 90 J/mol, a small fraction of room-temperature RT, which is why the molecule survives only in beams cooled to well below a kelvin. Anything a chemist would call a bond is a thousand times bigger, and that gap is the whole reason the kilojoule per mole took over everyday reporting.

The trap is the split convention that follows. Enthalpies arrive in kJ/mol while entropies stay in J/(mol·K), so the TΔS term of a Gibbs calculation emerges in J/mol and must lose three zeros before it meets ΔH. Missed, the mismatch flips a reaction's predicted direction, which is why this catalog warns about it on more than one page.

One joule per mole in every molar energy unit

1joule per mole (J/mol)this unit
1kilojoule per kilomole (kJ/kmol)
0.429923BTU per pound-mole (BTU/lb-mol)
0.239006calorie per mole (cal/mol)
0.001kilojoule per mole (kJ/mol)
0.000239006kilocalorie per mole (kcal/mol)
0.0000103643electronvolt per particle (eV/particle)
0.000001megajoule per mole (MJ/mol)
3.80880e-07hartree per particle (Ha/particle)
1.03643e-11megaelectronvolt per particle (MeV/particle)