Heat Capacity Relation

C_{p} = C_{v} + R

Mayer relation: C_p is always greater than C_v by R for ideal gases.

Variables

C_p

Heat capacity (constant P)

Molar heat capacity at constant pressure

J/(mol·K)

C_v

Heat capacity (constant V)

Molar heat capacity at constant volume

J/(mol·K)

Gas constant

8.314

J/(mol·K)

At constant P, heat goes to both internal energy and work: C_p = (∂H/∂T)_p = C_v + R.

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