The expression, nRT In $$\frac{{{{\text{P}}_1}}}{{{{\text{P}}_2}}}$$, is for the ____ of an ideal gas.
A. Compressibility
B. Work done under adiabatic contition
C. Work done under isothermal condition
D. Co-efficient of thermal expansion
Answer: Option C
Solution (By Examveda Team)
Since, the expansion work is equal to $$\delta w = PdV$$Since for an ideal gas
$$\eqalign{ & PV = nRT \cr & \Rightarrow w = \int {\frac{{nRT}}{V}} dV \cr & \Rightarrow w = nRT\ln \left( {\frac{{{P_1}}}{{{P_2}}}} \right) \cr} $$
(hence for an ideal gas under isothermal conditions)
This Question Belongs to Chemical Engineering >> Chemical Engineering Thermodynamics
Join The Discussion