Two reversible power cycles are arranged in series. The first cycle receives energy by heat transfer from a reservoir at temperature TH and rejects energy to a reservoir at an intermediate temperature T. The second cycle receives the energy rejected by the first cycle from the reservoir at temperature T and rejects energy to a reservoir at temperature T lower than T. Derive an expression for the intermediate temperature T in terms of TH and T when (a) both engines develop equal power. (b) the thermal efficiencies of the two power cycles are equal (c) if the source and sink temperatures of 550 K and 350 K., Determine the intermediate temperature for a and b