Answer :

We know ideal gas equation


PV=nRT


Where V= volume of gas


R=gas constant


T=temperature


n=number of moles of gas


P=pressure of gas


Given


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.


n1=n2=n


Since the walls of separator is diathermic, the temperature of both the parts will always be same.


T1=T2=T


Pressure of part 1


P1=


Pressure of part 2


P2==


Diving P1 and P2, we get



P1:P2 =3:1


The ratio of the pressures in the two parts of the vessel is 3:1.


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