A heat pump design is proposed that provides 30 kW heat while consuming 6 kW electrical power. The high- and low-temperature reservoirs are 300K and 270K, respectively. (i) Show that the cycle satisfies Clausius’ principle. (ii) Show that the cycle satisfies Carnot’s principle. (iii) Determine the entropy produced in the surroundings (kW/K). (Watch “Clausius Inequality Examples”)