Three samples of the same gas A, B and C ( γ = 3/2 ) have initially 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

Question

Three samples of the same gas A, B and C $(γ = 3/2)$ have initially 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 three samples, the ratio of their initial pressures is

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Answer:

B

Solution:

$P_{A} V^{3/2} = P (2 V)^{3/2}, P_{B} = P, P_{C} V = P (2 V)$ .

$P_{A} : P_{B} : P_{C} = 2^{3/2} : 1 : 2 = 22 : 1 : 2.$

TestHub · Accepted Answer

P A ​ V 3/2 = P ( 2 V ) 3/2 , P B ​ = P , P C ​ V = P ( 2 V ) . P A ​ : P B ​ : P C ​ = 2 3/2 : 1 : 2 = 2 2 ​ : 1 : 2.

Physics - Heat & Thermo Question with Solution | TestHub

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