Two vessels `A` and `B` with rigid walls containing ideal gases. The pressure, temperature and the volume are `P_(1), T_(1), V` in the vessel `A` and `P_(2), T_(2), V` in the vessel `B`. The vessels are now connected through a small tube. In equilibrium, pressure `P` and temerature `T` becomes same in two vessels. Find the value of `P//T`.

Explanation

Total number of moles in two vessels remains same before and after equilibrium
`n_(1) + n_(2) = n + n`
`(P_(1) V)/(R T_(1)) + (P_(2) V)/(R T_(2)) = (P V)/(R T) + (P V)/(R T)`
`(2 P)/(T) = (P_(1))/(T_(1)) + (P_(2))/(T_(2))`
`(P)/(T) = (1)/(2)((P_(1))/(T_(1)) + (P_(2))/(T_(2)))`