A gas is enclosed in a vessel of volume V at temperature `T_(1)` and P, the vessel is connected to another vessel of volume `V//2` by a tube and a stopcock. The second vessel is initially evacuated. If the stopcock is opened, the temperature of second vessel becomes `T_(2)`. The first vessel is maintained at a temperature `T_(1)`. What is the final pressure `P_(1)` in the apparatus ?

Options

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

Answer

A