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Question: Three samples of the same gas A, B and wC(g = 3/2) have initially equal volume. Now the volume of ea...

Three samples of the same gas A, B and wC(g = 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 pressure are equal for all three samples, the ratio of their initial pressures are

A

222 \sqrt { 2 }: 2 : 1

B

222 \sqrt { 2 } : 1 : 2

C

2\sqrt { 2 } : 1 : 2

D

2 : 1 : 2\sqrt { 2 }

Answer

222 \sqrt { 2 } : 1 : 2

Explanation

Solution

A ® Adiabatic ® PVg = Const.

B ® Isobaric ® P = const.

C ® Isothermal ® T = const.

\PA : PB : PC = 222 \sqrt { 2 } : 1 : 2