An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Thos

Question

An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among 1, 2, 3 and 4 is

Accepted Answer

In a P-V diagram, the slope of an adiabatic process is given by $\frac{dP}{dV} = -\gamma \frac{P}{V}$, while the slope of an isothermal process is $\frac{dP}{dV} = -\frac{P}{V}$. Since $\gamma > 1$ for an ideal gas, the adiabatic curve is steeper than the isothermal curve. Among the given curves, curve 2 represents the adiabatic process.

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