Consider two containers 
and 
containing identical gases at the same pressure, volume and temperature. The gas in container 
is compressed to half of its original volume isothermally while the gas in container 
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 
(isothermal) and for container 
(adiabatic).
Container 
Container 
(Isothermal) (Adiabatic)
Both the process involve compression of the gas.
For isothermal process (gas 
) (during 
),
For adiabatic process (gas 
) (during 
),
Hence, 
Ratio of final pressure
where, 
is ratio of specific heat capacities for the gas.
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