Question

Certain perfect gas is found to obey the law `PV^(3//2)`= constant, during adiabatic process. If such a gas at initial temprerature `T` is adiabatically compressed to half of the initial volume, its final temperature will be
A. `sqrt2T`
B. `2T`
C. `2sqrt2T`
D. `4T`

Answer 1

Correct Answer - A
`P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma),T_(1)V_(1)^(gamma-1)=T_(2)V_(2)^(gamma-1)`