An engine realising a carnot cycle lifts a mass of 500 kg, while 0.5 mj of heat is transferred at constant temperature of 700 k from a thermal reservoir to the cycle. heat is rejected from the cycle to another thermal reservoir at constant temperature of 400 k. (a) calculate the height to which the carnot engine lifts the mass. (b) calculate the height to which the mass is lifted by a real engine realising a cycle with irreversibil ities with an efficiency lower by 10% than the carnot efficiency of the engine in (a)