% miko:type: atomic
% miko:title: Heat Capacity
% miko:summary: The response of internal energy or enthalpy to temperature change.
% miko:tags: thermo
% miko:difficulty: undergrad
% miko:related: ideal-gas-law, entropy-second-law, partition-function
% miko:keywords: specific heat, constant volume, constant pressure

\documentclass{article}
\usepackage{amsmath}
\title{Heat Capacity}
\begin{document}
\maketitle

\section{Definitions}

At constant volume,

$$
C_V=\left(\frac{\partial U}{\partial T}\right)_V.
$$

At constant pressure,

$$
C_P=\left(\frac{\partial H}{\partial T}\right)_P.
$$

\section{Interpretation}

Heat capacity measures how much energy is required to change temperature under
specified constraints.

\end{document}
