Study problem thermodynamics

An ideal gas in state A (see the figure) undergoes a reversible change to state C. This transformation can be carried out over an infinite number of trajectories. However, only 2 trajectories will be considered: a straight line from A to C and another from A to B and then to C. Determine and show that the changes in volume during the changes from A to C that result from each of the two paths, AC and ABC, are identical. Accomplish this by integrating the differential equation: (F)TdP + (+) p dT dv which solved for the ideal gas results: dv Before integrating path AC use the following relationship for the necessary substitutions: AC slope therefore 131) TQ TldP and