First slide
NA
Question

When an ideal gas at pressure f temperature T and volume V is isothermally compressed to V / n, its pressure becomes Pi. If the gas is compressed adibatically to V/n, its pressure becomes Pa. The ratio Pi/Pa is γ=Cp/Cv

Moderate
Solution

For isothermal process,
PV = constant. Hence
 PiVi=PV or Pi(V/n)=PV Pi=nP
For adiabatic process, P Vγ=constant
 PaVaγ=PVγPa(V/n)γ=PVγ
or       Pa=nγP              .....(2)
From eqs. (1) and (2),
Pj/Pa=n/nγ=n(1γ)

 

Get Instant Solutions
When in doubt download our app. Now available Google Play Store- Doubts App
Download Now
Doubts App