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  4. The internal energy of an ideal gas increases during an isothermal process when the gas is

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Q. The internal energy of an ideal gas increases during an isothermal process when the gas is

AFMCAFMC 2007Thermodynamics

Solution:

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 $
$ \Rightarrow U\propto NT $
In isothermal process, $T =$ constant
$ \Rightarrow U\propto N $
ie, internal energy increases by increasing number of molecules $(N)$.