(A) Write the general expression for dU by combining the first and second law for a mole of substance. Then divide by dV and impose a constant temperature to obtain an expression for
(B) Using the appropriate Maxwell equation, show that (∂U/∂V)T = T (∂P/∂T)V – P
(C) What is the expression of (∂U/∂V)T for an ideal gas?
(D) What is the expression of (∂U/∂V)T for a van der Waals?
The question belongs to Chemical Engineering and it is about calculating the Q, W, ΔU, ΔH, ΔG, ΔA, ΔS for 1 mole of an ideal gas expanding isothermally and reversibly from 10bar to 1bar at 20°C.
Note: The solution is in handwritten format.