At `27^(@)C` and pressure of `76` cm of Hg the volume of a diatomic gas is `2000 cm^(3)`. If is compressed adiabatically to a volume `1000 cm^(3)`, what are its pressure and temperature? `(gamma=1.4)`

Options

A. `200.5` cm of Hg, `122.9^(@)C`
B. `180.4` cm of Hg,`84.2^(@)C`
C. `120` cm of Hg,`80.2^(@)C`
D. `162.4` cm of Hg, `92^(@)C`

Answer

A

Explanation

`P_(2)=P_(1)(V_(1)/(V_(2)))impliesT_(2)=T_(1)((V_(1))/(V_(2)))^(gamma-1)`