### Maximum theoretical value of the number

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1. An inventor claims to have developed a power cycle having a thermal efficiency of 40%, while operating between hot and cold reservoirs at temperature TH and TC 5 300 K, respectively, where TH is (a) 600 K, (b) 500 K, (c) 400 K. Evaluate the claim for each case.

2. Referring to the cycle of Fig. 5.13, if p1 5 2 bar, y1 5 0.31 m3/kg, TH 5 475 K, QH 5 150 kJ, and the gas is air obeying the ideal gas model, determine TC, in K, the net work of the cycle, in kJ, and the thermal efficiency.

3. An inventor claims to have developed a power cycle operating between hot and cold reservoirs at 1000 K and 250 K, respectively, that develops net work equal to a multiple of the amount of energy, QC, rejected to the cold reservoir-that is Wcycle 5 NQC, where all uantities are positive. What is the maximum theoretical value of the number N for any such cycle?

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