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Q.

Three samples of the same gas x , y and z , for which the ratio of specific heats is γ=32, have initially the same volume. The volumes of each sample is doubled, by isobaric process in the case of y and by isothermal process in the case of z. If the initial pressures of the samples x, y and z are in the ratio 22:1:2, then the ratio of their final pressures is

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a

2 : 1 : 1

b

1 : 1 : 1

c

1 : 2 : 1

d

1 : 1 : 2

answer is B.

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Detailed Solution

x⇒ Initial pressure (A) =22 Final  (P2)=P1(vv2)γ                                 =22(V2v)32=1 y⇒ Initial  = final = 1z⇒ Initial  P1=2  Final P2=P1v1v2=2×v2v=  ∴Px:Py:Pz=1:1:1
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