Figure shows the graph of pressure versus volume of an ideal gas, taken from state A to C via three different paths, i.e., ABC, AC and ADC. The internal energies of the gas corresponding to the states A and C are `(P_0 V_0) and (5P_0 V_0)` respectively. Determine
Equation of the straight line AC.

Explanation

Using ` (y-y_2 )/( x-x_2 ) = (y_1 -Y_2)/(x_1 -x_2 ) ` we have
` (y-P_0)/( x-2 V_0 ) = (2P_0 - P_0 )/( V_0 -2 V_0) =- (P_0)/( V_0) `
` implies Y= P_0 {-(P_0)/(V_0) (x-2V_0)}=(P_0)/(V_0) ( 3 V_0 +x)`