Thermodynamics Question 44

Question: A gas (γ=1.3) is enclosed in an insulated vessel fitted with insulating piston at a pressure of 105N/m2 . On suddenly pressing the piston the volume is reduced to half the initial volume. The final pressure of the gas is

[RPET 2002]

Options:

A) 273 K

B) 573 K

C) 373 K

D) 473 K

Show Answer

Answer:

Correct Answer: A

Solution:

∵ TVγ−1= constant

Therefore T1V1γ−1=T2V2γ−1

Therefore T2=T1(V1V2)γ−1=T1(4)1.5−1=2T1

change in temperature =T2−T1=2T1−T1=T1=273K

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