A monoatomic gas having 
is stored in a thermally insulated container and the gas is suddenly compressed to 
of its initial volume. The ratio of final pressure and initial pressure is:
( 
is the ratio of specific heats of the gas at constant pressure and at constant volume)
Text Solution
Verified by ExpertsB
To find the ratio of final pressure ( 
) to initial pressure ( 
), we use the adiabatic condition:
We aim to express the pressure ratio:
Given that the final volume 
is 
of the initial volume 
, this simplifies to:
Thus, the pressure ratio becomes:
Calculating 
gives:
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