Two containers of equal volume contain the same gas at pressure `P_(1)` and `P_(2)` and absolute temperature `T_(1)` and `T_(2)`, respectively. On joining the vessels, the gas reaches a common pressure `P` and common temperature `T`. The ratio `P//T` is equal to

Options

A. `((P_(1))/(T_(1)) + (P_(2))/(T_(2)))`
B. `(1)/(2)((P_(1))/(T_(1)) + (P_(2))/(T_(2)))`
C. `(P_(1)T_(2) + P_(2)T_(1))/(T_(1) + T_(2))`
D. `(P_(1)T_(2) - P_(2)T_(1))/(T_(1) - T_(2))`

Answer

B

Explanation

`(P_(1)V)/(T_(1) + (P_(2)V)/(T_(2))) = (PV)/(T) + (PV)/(T)`