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Physics Thermodynamics Mix MCQ (Single Correct)

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

A
2 : 2 : 1
B
2 : 1 : 2
C
: 1 : 2
D
2 : 1 :

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Text Solution

Verified by Experts
The correct answer is:
B

For A, P A V γ = P (2V) γ

P A = P 2 γ ... (1)

for B, P B = P ... (2)

for C, P C V = P (2V) P C = 2P ... (3)

P A = 2 γ P, P B = P, P C = 2P

where 'P' is final pressure, so

P A : P B : P C = : 1 : 2

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