To transition a system from state A to state B along the path ACB as shown in the figure, 50 cal of heat must be supplied. Determine the amount of heat that needs to be supplied to move the system from A to B via the path ADB .

Step-by-step solution

The work done along the path ACB is the sum of the work done during the isobaric process AC and the isochoric process CB . W_ ACB = W_ AC + W_ CB W_ AC = p_A (V_C - V_A) = 50 10^3 (400 - 200) 10⁻⁶ = 10 J W_ CB = 0 (since volume is constant) W_ ACB = 10 J The work done along the path ADB is the sum of the work done during the isochoric process AD and the isobaric process DB . W_ ADB = W_ AD + W_ DB W_ AD = 0 (since volume is constant) W_ DB = p_D (V_B - V_D) = 155 10^3 (400 - 200) 10⁻⁶ = 31 J W_ ADB = 31 J According