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Q.

When an ideal gas at pressure f temperature T and volume V is isothermally compressed to V / n, its pressure becomes Pi. If the gas is compressed adibatically to V/n, its pressure becomes Pa. The ratio Pi/Pa is γ=Cp/Cv

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a

1

b

n

c

nγ

d

n(1-γ)

answer is D.

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Detailed Solution

For isothermal process,PV = constant. Hence PiVi=PV or Pi(V/n)=PV∴ Pi=nPFor adiabatic process, P Vγ=constant∴ PaVaγ=PVγPa(V/n)γ=PVγor       Pa=nγP              .....(2)From eqs. (1) and (2),Pj/Pa=n/nγ=n(1−γ)
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