A system consisting of a gas confined in a cylinder undergoes a series of processes shown in Fig. 2.4. During the process A-1-B, \(60 \mathrm{~kJ}\) of heat is added while it does \(35 \mathrm{~kJ}\) of work. Then the system follows the process A-2-B, during which \(50 \mathrm{~kJ}\) of work is performed on the system. Then the system returns to the initial state along the path B-3-A and \(70 \mathrm{~kJ}\) of work is done on the system. Calculate

(a) The amount of heat flowing into the system during the process \(A-2-B\)

(b) the amount of heat transferred between the system and the surroundings during the process \(\mathrm{B}-3-\mathrm{A}\).