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Q.

Three samples of the same gas, x y and z, for which the ratio of specific heats is γ=3/2, have initially the same volume. The volume of the each sample is doubled by adiabatic process in the case of x, by isobaric process in the case of y and by isothermal process in the case of z. If the initial pressure of the sample of x, y and z are in the ratio 22:1:2; then the ratio of their final pressures is

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a

1 : 1 : 2

b

1 : 2 : 1

c

1 : 1 : 1

d

2 : 1 : 1

answer is B.

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Detailed Solution

Isothermal PV = constant

Adiabatic PV2= constant

Isobaric P = constant

Let initial pressure of y be P  Then, final pressure of x=22P×21.5=P  final pressure of z=2P×.5=P  Thus ratio of final pressures is 1:1:1
 

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