The internal energy of an ideal gas increases during an isothermal process when the gas is
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(a) Internal energy of an ideal gas is given by
$U = \frac{f}{2}\mu RT = \frac{f}{2}\left( {\frac{N}{{{N_A}}}} \right)\,RT$ ==> $U \propto NT.$
In isothermal process $T =$ constant ==> $U \propto N.$
i.e. internal energy increases by increasing number of molecules $(N).$
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