Two spherical vessel of equal volume are connected by a n arrow tube. The apparatus contains an ideal gas at one atmosphere and `300 K`. Now if one vessel is immersed in a bath of constant temperature `600 K` and the other in a bath of constant temperature `300 K`. then the common pressure will be

Options

A. 1 atm
B. `4/5` atm
C. `4/3` atm
D. `3/4` atm

Answer

C

Explanation

`n=n_1+n_2`
`(P(2V))/(RT_1)=(P.V)/(RT_1)+(P.V)/(RT_2)`
`rArr(2P)/(RT_1)=(P.)/R[(T_2+T_1)/(T_1T_2)]`
`P.=(2PT_2)/((T_1+T_2))=(2xx1xx600)/((300+600))=4/3atm`