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

A polyatomic gas (gamma = (4)/(3)) is compressed to (1)/(8)^(th) of it

1.	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
Answer» `8P_(0)` `16P_(0)` `6P_(0)` `2P_(0)` Solution :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)`