Consider two containers A and B containing pressure, volume and temperature. The gas in container 
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 
to that of gas in 
is:
Text Solution
Verified by ExpertsA
Consider the 
diagram shown for the container A (isothermal) and for container B (adiabatic).
Both the process involving compression of the gas.
(container A) (container B)
For isothermal process (gas A) (during 
)
For adiabatic process, (gas B) (during 
)
Hence, 
ratio of final pressure 
where, 
is ratio of specific heat capacities for the gas.
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