For an ideal gas at 300K

1
\(\left( \frac{\partial U}{\partial V} \right)_T = 0\)
2
\(\left( \frac{\partial U}{\partial T} \right)_V = 0\)
3
\(\left( \frac{\partial H}{\partial T} \right)_P = 0\)
4
\(\left( \frac{\partial G}{\partial T} \right)_P= 0\)
5
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