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 \(T, V)\) in which the molar heat capacity varies as: (a) \(\quad C=C_{V}+\alpha T\) (b) \(C=C_{v}+\beta V\) (c) \(C=C_{V}+a p\) where \(\alpha, \beta,\) and \(a\) are constants.
2.55. (a) \(V_{e}-\alpha T / R=\) const; (b) \(T \mathrm{e}^{R / \beta V}=\) const; (c) \(V-a T=\) \(=\) const.