Series. Two engines are connected in series such that engine 1 operates between tem- peratures T and Tm with T1 > Tm while engine 2 operates between temperatures Tm and T with Tm > T2. Engine 1 absorbs Q from heat bath at T, performs work W, then dumps the remaining Qm to heat bath at Tm. Engine 2 absorbs the same dumped heat Qm from heat bath at Tm, performs work W2, then finally dumps the remaining Q2 into the heat bath at T2. Show that the effective efficiency of the two engine in series is given by, Eeff. = 1 + 2- 1 2, (2) where 1 = W/Q and 2 = W/Qm. Carnot in series. Suppose the two engines in series discussed in the previous question are reversible. Using the previous result, show that the effective efficiency is given by T2 eff. = 1 (3) T