A given mass of a gas is compressed isothermally until its pressure is doubled. It is then allowed to expand adiabatically until its original voume is restored and its pressure is then found to be 0.75 of its initial pressure. The ratio of the specific heats of the gas is approximately.

Options

A. 1.2
B. 1.41
C. 1.67
D. 1.83

Answer

B

Explanation

For isothermal process, `P_(1)V_(1)=P_(2)V_(2)`
For adiatbatic process, `P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)`
`2P((V)/(2))^(gamma)=((3)/(4)P)V^(gamma)`