A system consists of 1 mole of perfect gas with an initial temperature of 0 C and an initial pressure of 1 atm. This system was subjected to the following processes, each performed under reversible conditions:

(i) A 5-fold increase in volume at constant temperature, (ii) Subsequently, a 30-fold increase in pressure under no-heat conditions, (iii) Subsequent return to the origin along a line on the P-V diagram. (a) Calculate the work done by the system in step (iii) (b) Calculate the total heat flow in the cyclic process.