We know ideal gas equation
Where V= volume of gas
n=number of moles of gas
P=pressure of gas
Volume of first part=V
Volume of second part=3V
Initially separator had divided cylinder in two equal parts so, number of moles in both the parts will be same.
Since the walls of separator is diathermic, the temperature of both the parts will always be same.
Pressure of part 1
Pressure of part 2
Diving P1 and P2, we get
The ratio of the pressures in the two parts of the vessel is 3:1.
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