Q5 of 27 Page 83

Consider two containers A and B containing identical gases at the same pressure, volume and temperature. The gas in container A is compressed to half of its original volume isothermally while the gas in container B is compressed to half of its original value adiabatically. The ratio of final pressure of gas in B to that of gas in A is

for container A (gas is compressed to half of its original

volume) Isothermal compression


⇒


Let original volume be then after compression it becomes


⇒


⇒ …. (1)


For container B (gas is compressed to half of its original


volume) Adiabatic compression


⇒


Let original volume be then after compression it becomes


⇒


⇒


⇒ …… (2)


Ratio of final pressure of gas in B to that of gas in A will be


obtained by (2)/ (1)


=


=


option (a) is correct.

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