Chapter 5, Problem 5.25P

A system executes a power cycle while receiving 900 Btu by heat transfer at a temperature of 900°R and discharging 800 Btu by heat transfer at a temperature of 540°R. There are no other heat transfers. Determine the cycle thermal efficiency. Use the Clausius Inequality to determine Ocycle, in Btu/°R. Determine if this cycle is internally reversible, irreversible, or impossible. Step 1 Determine the cycle thermal efficiency. n = i %

Two reversible power cycles are arranged in series. The first cycle receives energy by heat transfer from a reservoir at temperature TH and rejects energy to a reservoir at an intermediate temperature T. The second cycle receives the energy rejected by the first cycle from the reservoir at temperature T and rejects energy to a reservoir at temperature TC lower than T. Derive an expression for the intermediate temperature T in terms of TH and TC when,a. The net works of the two power cycles are equalb. The thermal efficiencies of the two power cycles are equal

Q2/ A power cycle operating between two reservoirs receives energy Qi by heat transfer from a hot reservoir at T 1000K and rejects energy Q2 by heat transfer to a cold reservoir at Tz-200K For each of the following cases, determine whether the cycle operates reversibly, irreversibly, or is impossible. (a) QI = 500KJ, W 350KJ (b) Q1 = 1000KJ, Q2 200KJ (c) W= 800KJ, Q2 = 500KJ (d) 7 = 95 % %3D %3D

A system executes a power cycle while receiving 1000 Btu by heat transfer at a temperature of 900°R and discharging 700 Btu by heat transfer at a temperature of 540°R. There are no other heat transfers. Determine the cycle thermal efficiency. Use the Clausius Inequality to determine cycle: in Btu/°R. Determine if this cycle is internally reversible, irreversible, or impossible.

MBES141/Thamodynamics Exercise 5.29 At steady state, a power cycle receives energy by heat transfer at an average temperature of 463°C and discharges energy by heat transfer to a river. Upstream of the power plant the river has a volumetric flow rate of 67.87 m³/s and a temperature of 20°C. From environmental considerations, the temperature of the river downstream of the plant can be no more than 22°C. Determine the maximum theoretical power that can be developed, in MW, subject to this constraint.

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A reversible power cycle whose thermal efficiency is 50% operates between a reservoir at 1800 K and a reservoir at a lower temperature T. Determine T, in K.

A power cycle operates between hot and cold reservoirs at 900 K and 300 K, respectively. At steady state the cycle develops a power output of 0.38 MW while receiving energy by heat transfer from the hot reservoir at the rate of 1 MW.Determine the thermal efficiency and the rate at which energy is rejected by heat transfer to the cold reservoir, in MW for the following.(a) The power cycle and conditions above. Determine the thermal efficiency and the rate at which energy is rejected by heat transfer to the cold reservoir, in MW.(b) A reversible power cycle operating between the reservoirs and receiving the same rate of heat transfer from the hot reservoir as in part (a). Determine the thermal efficiency and the rate at which energy is rejected by heat transfer to the cold reservoir, in MW.

At steady state, a heat pump provides energy by heat transfer at the rate of 25,000 Btu/h to maintain a dwelling at 70°F on a day when the outside temperature is 30°F. The power input to the heat pump is 4.5 hp.Determine:(a) the coefficient of performance of the heat pump.(b) the coefficient of performance of a reversible heat pump operating between hot and cold reservoirs at 70°F and 30°F, respectively, and the corresponding rate at which energy would be provided by heat transfer to the dwelling for a power input of 4.5 hp.