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Question

Two samples of a gas A and B, initially at same temperature and pressure, are compressed to half their initial volume, A isothermally and B adiabatically. The final pressure in the two cases is related as

A
A = B
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B
A > B
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C
A < B
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D
A2 = B
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Solution

The correct option is B A > B
From the PV graphs we know that the slope of an adiabatic process is more than an isothermal process. Thus for same initial conditions the pressure after compression will be more in a isothermal process than an adiabatic process. Thus A>B.
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