Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to
of its original volume while the gas in B is compressed adiabatically to
of its original volume. The ratio of final pressure of gas in B to that of gas in A is
Text Solution
Verified by ExpertsB
In an isothermal process the temperature is constant.
PV=nRT
So, it can be written that

P A = 8P
In an adiabatic process,
=constant
for monoatomic gas is 
So, it can be written

P B = 32P
Thus, the ratio of the pressures is

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