A polyatomic gas `(gamma = (4)/(3))` is compressed to `(1)/(8)^(th)` of its volume adiabatically. If its initially pressure is `P_(0)`. Its new pressure will be

Options

A. `8P_(0)`
B. `16P_(0)`
C. `6P_(0)`
D. `2P_(0)`

Answer

B

Explanation

For an adiabatic process, `PV^(gamma)` = constant
`:. P((V_(0))/(8))^(4//3) = P_(0)(V_(0))^(4//3)`
or `P = P_(0)(8)^(4//3) = P_(0)(2)^(4) = 16 P_(0)`