Two containers of equal volume contain the same gas at pressures P_(1) and P_(2) and absolute temperatures T_(1) and T_(2) respectively. On joining the vessels, the gas reaches a common pressure Panda common temperature T. Find the value P/T.

Two containers of equal volume contain the same gas at pressures P_(1)

1.	Two containers of equal volume contain the same gas at pressures P_(1) and P_(2) and absolute temperatures T_(1) and T_(2) respectively. On joining the vessels, the gas reaches a common pressure Panda common temperature T. Find the value P/T.
Answer» Solution :Number of moles before JOINING = Number of mo]es after joining the vessels. `n_(1) + n_(2) = n_(1)^(1) n_(2)^(1)` i.e., `(P_(1)V)/(RT_(1)) + (P_(2)V)/(RT_(2)) = (PV)/(RT) + (PV)/(RT) ` (or) `(P_(2)V)/(RT_(1)) + (P_(2)V)/(RT_(2)) = (2PV)/(RT) ` `rArr (P_(1))/(T_(1)) + (P_(2))/(T_(2)) = (2P)/(T) "" therefore (P)/(T)= (1)/(2) [ (P_(1))/(T_(1)) + (P_(2))/(T_(2)) ] `