Question

$P_i,V_i$ are initial pressure and volume and $V_f$ is the final volume of a gas in a thermodynamic process respectively. If $P{V}^n=Constant$, then the amount of work done by gas: $(\gamma =C_p/C_v)$. Assume same, initial state & same final volume in all processes

• A. minimum for $n=\gamma$
• B. minimum for $n=1$
• C. minimum for $n=0$
• D. minimum for $n=\frac{1}{\gamma }$

Answer 1

The correct option is A minimum for $n=\gamma$

Work done in adiabatic process :-

$W=\frac{\Delta PV}{\gamma -1}$

For $\gamma =n$

Work done $W$ is minimum