Question

Show how internal energy U varies with T in isochoric, isobaric and adiabatic process ?

Answer 1

Change in internal energy for any process $\Delta U=n{C}_v\Delta T$

where $C_v=\frac{f}{2}R$

Also $\gamma =\frac{2}{f}+1$ $⟹\frac{f}{2}=\frac{1}{\gamma -1}$

$\therefore$ For all processes $\Delta U=\frac{nR\Delta T}{\gamma -1}$