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Q.

Three samples of the same gas A, B and C (γ = 3/2) initially have equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all the three samples, the ratio of their initial pressures is

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a

22:2:1

b

22:1:2

c

2:1:2

d

2:1:2

answer is B.

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Detailed Solution

Let the initial pressure of the three samples be PA, PB and PC, then     PA(V)3/2=(2V)3/2P ∵PB=Por  PA=P(2)3/2      PC(V)=P(2V)or  PC=2P     PA:P:PC=(2)3/2:1:2=22:1:2
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Three samples of the same gas A, B and C (γ = 3/2) initially have equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all the three samples, the ratio of their initial pressures is