Two reversible heat engines E1 and E2 are kept in series between a hot reservoir at a temperature T1 of 600K and a cold reservoir at a temperature T3 of 300K. Engine E1 receives 500kJ of heat from the reservoir at T1. The thermal efficiency of both the engines is the same.
Determine (i) the temperature at which heat is rejected by engine E1, and received by engine E2 , (ii) work done by engine E1, (iii) work done by engine E2, (iv) heat rejected by engine E2 to the cold reservoir and (v) the efficiency of the engines.