(Solved): Question 4 A heat pump operates irreversibly to extract heat from the atmosphere at a temperature of ...

Question 4 A heat pump operates irreversibly to extract heat from the atmosphere at a temperature of

and deliver

of heat to a constant-temperature reservoir at 420 K . The efficiency of this heat pump is

of the efficiency of a Carnot heat pump operating between the same temperature limits. The heat pump is powered by a heat engine that draws heat from a constant-temperature reservoir at 1000 K and rejects waste heat to a separate reservoir at

, which is the same reservoir used by the heat pump. The thermal efficiency of the engine is

of the efficiency of a Carnot heat engine operating between the same temperature limits. Additionally, the transmission that transfers the actual work output of the heat engine to the heat pump has an efficiency of only

. Determine: 4.1. The power input required for the actual heat pump in kW (8) 4.2. The rate of heat input from the 1050 K reservoir to the actual engine in

4.3. The percentage of the total heat supplied to the

reservoir that is delivered by the heat pump. (3) [15 Marks] TOTAL MARKS [55] UNISA 2025