Consider a large furnace that can transfer heat at a temperature of 2000 R at a steady rate of 3000 Btu/s. Determine the rate of exergy flow associated with this heat transfer. Assume an environment temperature of 77°F.

Geothermal liquid water at 300°F and a mass flow rate of 450 lbm/s is used as the heat sourcefor a power plant. The power plant produces 20 x 106 Btu/hr of net power in an environment at75°F. If 25 x 106 Btu/hr of exergy entering with the geothermal water is destroyed within thepower plant, determine:(a) the exergy of the geothermal water entering the plant in hp,(b) the second-law efficiency, and(c) the exergy of the heat rejected from the plant in hp.

Carbon steel balls (ρ = 7833 kg/m3 and cp = 0.465 kJ/ kg·°C) 8 mm in diameter are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C. If 1200 balls are to be annealed per hour, determine the rate of exergy destruction due to heat loss from the balls to the air.

On a T-S diagram, the area under the process curve represents the heat transfer for internally reversible processes.