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


Masses of both the gas is equal. Therefore, number of moles of both the gas is equal. So, we can write


n1 =n2 =n


Volume of first gas V1=Vo


Volume of second gas V2=2Vo


Temperature of first gas T1=300K


Temperature of second gas T2=600K


Let pressure of first gas =P1


Pressure of second gas=P2


Applying ideal gas equation for both the gases


P1V1=n1RT1


…(I)


P2V2=n2RT2


…. (II)


Since n1 =n2 =n


Therefore




Rearranging the above equation




P1:P2 =1:1


So, the ratio of pressure gas in two vessels is 1:1.


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