A mass of ideal gas at pressure P is expanded isothermally to four times the original volume and then slowly compressed adiabatically to its original volume. Assuming gamma(=C_(P)//C_(V)) to be 1.5, find the new pressure of the gas.

A mass of ideal gas at pressure P is expanded isothermally to four tim

1.	A mass of ideal gas at pressure P is expanded isothermally to four times the original volume and then slowly compressed adiabatically to its original volume. Assuming gamma(=C_(P)//C_(V)) to be 1.5, find the new pressure of the gas.
Answer» Solution :Let the INITIAL volume be V. After ISOTHERMAL EXPANSION, pressure `=(P)/(4)`, volume = 4V Let P. is the pressure after ADIABATIC compression. The volume then is V. Therefore, `P.V^(gamma)=(P)/(4)(4V)^(gamma),P.=(P)/(4)(4)^((3)/(2))` `".=2P`