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For an ideal gas

$(a)\;\bigg(\large\frac{\partial E}{\partial T} \bigg)_P=0 \\(b)\;\bigg(\large\frac{\partial E}{\partial V} \bigg)_T=0 \\(c)\;\bigg(\large\frac{\partial E}{\partial T} \bigg)_V=0\\(d)\;\bigg(\large\frac{\partial E}{\partial P} \bigg)_T=0 $

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