All Problems

First law of thermodynamics, heat capacity

Problem 2.55

For the case of an ideal gas find the equation of the process (in the variables T,V)T, V) in which the molar heat capacity varies as: (a) C=CV+αT\quad C=C_{V}+\alpha T (b) C=Cv+βVC=C_{v}+\beta V (c) C=CV+apC=C_{V}+a p where α,β,\alpha, \beta, and aa are constants.

Reveal Answer
2.55. (a) Ve−αT/R=V_{e}-\alpha T / R= const; (b) TeR/βV=T \mathrm{e}^{R / \beta V}= const; (c) V−aT=V-a T= == const.
Prev
Next