**Definition 0.0.1 **  The **specific heat** denoted $c$ is the derivative of total energy $U$ in terms of temperature $T$ scaled per unit mass $M$ of the system such that it is an [intensive quantity](https://kaedon.net/l/9wj5).
\[c = \frac{C}{M} = \frac{1}{M}\frac{\partial U}{\partial T}\]