 Molar heat capacity

Molar heat capacity is heat capacity divided by amount of substance $n$, with units $\mathrm{J}\mathrm{mo}{\mathrm{l}}^{-1}{\mathrm{K}}^{-1}$. Its constraint must still be specified: $C_{V,\mathrm{m}}=C_V/n$ and $C_{p,\mathrm{m}}=C_p/n$. For the classical monatomic gas example in heat capacity, these are $3R/2$ and $5R/2$, where $R$ is the molar gas constant. Some textbooks use $C_V$ and $C_p$ for these per-mole quantities; the convention here reserves them for the whole sample.

Molar heat capacity (often represented as \( C_m \)) is a physical property of a substance that indicates the amount of heat required to raise the temperature of one mole of that substance by one degree Celsius (or one Kelvin). It reflects how much heat energy is absorbed or released when a substance undergoes a temperature change.