All Problems

First law of thermodynamics, heat capacity

Problem 2.56

An ideal gas has an adiabatic exponent γ.\gamma . In some process its molar heat capacity varies as C=α/T,C=\alpha / T, where α\alpha is a constant. Find: (a) the work performed by one mole of the gas during its heating from the temperature T0T_{0} to the temperature η\eta times higher; (b) the equation of the process in the variables p,Vp, V.

Reveal Answer
2.56. (a) A=αln⁡η−RT0(η−1)/(γ−1);A=\alpha \ln \eta-R T_{0}(\eta-1) /(\gamma-1) ; (b) pVγeα(γ−1)/pV=p V^{\gamma} e^{\alpha(\gamma-1) / p V}= == const.
Prev
Next