(D) The work done in a polytropic process $PV^n = \text{constant}$ is given by the formula:$W = \frac{P_i V_i - P_f V_f}{n - 1}$For a fixed initial an

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(D) The work done in a polytropic process $PV^n = \text{constant}$ is given by the formula:$W = \frac{P_i V_i - P_f V_f}{n - 1}$For a fixed initial and final state, the work done depends on the value of $n$.If we consider the magnitude of work done for a given change in volume, the work done is zero when $n = \infty$ (isochoric process, $\Delta V = 0$).Thus, the work done is minimum (zero) for $n = \infty$.

Class 11 Physics Thermodynamics Polytropic Process

Medium

$P_i, V_i$ and $P_f, V_f$ are initial and final pressures and volumes of a gas in a thermodynamic process respectively. If $PV^n = \text{constant}$, then the amount of work done is

A
minimum for $n = \gamma$
B
minimum for $n = 1$
C
minimum for $n = 0$
D
minimum for $n = \infty$

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$P_i, V_i$ and $P_f, V_f$ are initial and final pressures and volumes of a gas in a thermodynamic process respectively. If $PV^n = \text{constant}$, then the amount of work done is

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$A$ gas is found to obey the law $P^2V =$ constant. The initial temperature and volume are $T_0$ and $V_0$. If the gas expands to a volume $3V_0$,its final temperature becomes

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