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Q. For an ideal gas with initial pressure and volume $P_i$ and $V_i$, respectively, a reversible isothermal expansion happens, when its volume becomes $V_0$. Then it is compressed to its original volume $V_i$ by a reversible adiabatic process. If the final pressure is $P_f$, then which of the following statements is true ?

WBJEEWBJEE 2018Thermodynamics

Solution:

In $p -V$ diagram, the slope of an adiabatic curve at any point in steeper than that of isothermal curve at that point.
Thus, $p_f > p_i$

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