All Problems First law of thermodynamics, heat capacity
Problem 2.49
An ideal gas whose adiabatic exponent equals \(\gamma\) is expanded so that the amount of heat transferred to the gas is equal to the decrease of its internal energy. Find: (a) the molar heat capacity of the gas in this process; (b) the equation of the process in the variables \(T, V\) (c) the work performed by one mole of the gas when its volume increases \(\eta\) times if the initial temperature of the gas is \(T_{0^{\circ}}\)
2.49. (a) \(C=-R /(\gamma-1)\) (b) \(T V(\gamma-1) / 2=\) const (c) \(A=\) \(=2 R T_{0}\left(1-\eta^{(1-\gamma) / 2}\right) /(\gamma-1)\)