joule per mole

joule per mole

SI coherent derived unit whose name and symbol includes an SI coherent derived unit with a special name and symbol
Name Symbol Quantity Base units
joule per mole J/mol molar energy kg m2 s−2 mol−1
The joule per mole, symbol J/mol, is the SI coherent derived unit of molar energy.

One joule per mole is equal to the molar energy of a substance that has one joule of energy associated with one mole of the substance.

Definition h ΔνCs NA
1 \mspace{4mu} \text{J} / \text{mol} \mspace{6mu} = \dfrac{1}{(6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34})(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)(6.022 \mspace{4mu} 140 \mspace{4mu} 76 \times 10^{23})} \mspace{6mu} h \mspace{4mu} \Delta \nu _{Cs} \mspace{4mu} N_A\\ \\ \\ 1 \mspace{4mu} \text{J} / \text{mol} \mspace{6mu} \approx 2.726 \mspace{4mu} 171 \mspace{4mu} 694 \mspace{4mu} 671 \mspace{4mu} 186 \mspace{4mu} 520 \times10^{-1} \mspace{6mu} h \mspace{4mu} \Delta \nu _{Cs} \mspace{4mu} N_A

Molar energy

In chemical reactions, energy is transferred when particles of different substances are chemically changed. Similarly, energy is transferred when the phase of a substance changes, such as when a liquid freezes. In each case, the total amount of energy transferred is directly proportional to the number of particles involved.

To make meaningful comparisons of the amount of energy transferred in different chemical reactions, it is necessary to measure the energy transferred for a standard number of particles. In the SI the standard number of particles used is the mole, or 6.022 140 76 × 1023 particles.

The amount of energy transferred when one mole of a substance is changed in a chemcial reaction is equal to the molar energy of the reaction.