Solved: A power cycle operating at steady state receives

Chapter 5, Problem 5.40

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A power cycle operating at steady state receives energy by heat transfer from the combustion of fuel at an average temperature of 1000 K. Owing to environmental considerations, the cycle discharges energy by heat transfer to the atmosphere at 300 K at a rate no greater than 60 MW. Based on the cost of fuel, the cost to supply the heat transfer is $4.50 per GJ. The power developed by the cycle is valued at $0.10 per \(\mathrm{kW} \cdot \mathrm{h}\). For 8000 hours of operation annually, determine for any such cycle, in $ per year, (a) the maximum value of the power generated and (b) the corresponding fuel cost.