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

`mu = mu_(1)+mu_(2)`
`(P(2V))/(RT_1) = (P'v)/(RT_(1))+(p'V)/(RT_(2)) implies (2P)/(RT_(1)) = (P')/(R)[(T_(2)+T_(1))/(T_(1)T_(2))]`
`P' = (2PT_(2))/((T_(1)+T_(2))) = (2xx1xx600)/((300+600)) = 4/3 atm`.