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_(2)+p_(2)T_(1))/(T_(1)xxT_(2))`
B. `(p_(1)T_(2)+p_(2)T_(1))/(T_(1)+T_(2))`
C. `(1)/(2)[(p_(1)T_(2)+p_(2)T_(1))/(T_(1)T_(2))]`
D. `(p_(1)T_(2)-p_(2)T_(1))/(T_(1)xxT_(2))]`

Answer

C