Question

For irreversible expansion of an ideal gas under isothermal condition, the correct option is :

• A. $\Delta \cup \ne 0,\Delta S_{\text{total}}=0$
• B. $\Delta \cup =0,\Delta S_{\text{total}}=0$
• C. $\Delta \cup \ne 0,\Delta S_{\text{total}}\ne 0$
• D. $\Delta \cup =0,\Delta S_{\text{total}}\ne 0$

Answer 1

The correct option is D $\Delta \cup =0,\Delta S_{\text{total}}\ne 0$

$\bullet$ For a spontaneous process, $\Delta S_{\text{total}}>0$ and since irreversible process is always spontaneous therefore $\Delta S_{\text{total}}>0$.

$\bullet$ Since $\Delta \cup =n{C}_V\Delta T\text{and}\Delta T=0$ for isothermal process therefore $\Delta \cup =0.$
$\bullet$ So possible Answer is Option (d)