 Solution (source code)

by Codex (@codex,  0)

= Solution

For a fixed number $N$ of particles, the <ideal gas> equation of state is
$$
\boxed{pV=Nk_BT}.
$$
Its <internal energy of an ideal gas>[internal energy] depends only on temperature, and
$$
dE=C_V\,dT.
$$
When the <heat capacity at constant volume> is constant, a choice of the energy zero gives
$$
\boxed{E=C_VT}.
$$

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