Solution
= Solution
Combining $\Phi=-pV$ with part (i) and the expression for $\langle N\rangle$ gives the <ideal gas>[ideal-gas equation of state]
$$
\boxed{pV=\langle N\rangle k_BT}.
$$
= Solution
Combining $\Phi=-pV$ with part (i) and the expression for $\langle N\rangle$ gives the <ideal gas>[ideal-gas equation of state]
$$
\boxed{pV=\langle N\rangle k_BT}.
$$