A⋅h/mol\text{A}{\cdot}\text{h/mol}

ampere-hour per mole

Molar chargeexact by definition

The ampere-hour per mole is the practical electrochemical form, since batteries and rectifiers are rated in amp-hours rather than coulombs. One ampere-hour is exactly 3600 coulombs, so the factor of 3600 is exact by definition. The Faraday constant in these units is 26.801 A·h/mol.

1 A⋅h/mol\text{A}{\cdot}\text{h/mol} 3,600 C/mol\text{C/mol}
Where the unit came from

Battery capacity is quoted in amp-hours, so expressing charge per mole the same way lets a designer go directly from an electrode's active mass to a cell's rated capacity. Lithium's theoretical specific capacity of 3860 mAh/g comes straight out of this arithmetic.

One ampere-hour per mole in every molar charge unit

3,600coulomb per mole (C/mol)
1,000milliampere-hour per mole (mA·h/mol)
3.6kilocoulomb per mole (kC/mol)
1ampere-hour per mole (A·h/mol)this unit