1. A reversible power cycle operating between hot and cold reservoirs at 1000 K and 300 K, respectively, receives 100 kJ by heat transfer from the hot reservoir for each cycle of operation. Determine the net work developed in 10 cycles of operation, in kJ.
2. A reversible power cycle operating between hot and cold reservoirs at 10408F and 408F, respectively, develops net work in the amount of 600 Btu for each cycle of operation. For three cycles of operation, determine the energy received by heat transfer from the hot reservoir, in Btu.
3. A power cycle operates between a lake's surface water at a temperature of 300 K and water at a depth whose temperature is 285 K. At steady state the cycle develops a power output of 10 kW, while rejecting energy by heat transfer to the lower- temperature water at the rate 14,400 kJ/min. Determine
(a) the thermal efficiency of the power cycle and (b) the maximum thermal efficiency for any such power cycle.