Prove Carnot’s Theorem: No real heat engine operating between two energy reservoirs can be more efficient...

Prove Carnot’s Theorem: No real heat engine operating between two energy reservoirs can be more efficient than a Carnot engine operating between the same two reservoirs.

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genius_generous answered 1 month ago

A Carnot heat engine operates between two thermal reservoirs ( T1 > T2 ) to generate...

A Carnot heat engine operates between two thermal reservoirs ( T1 > T2 ) to generate as much power as required as to drive a machine ( input power requirement of 30 kW ) plus to drive an ideal heat pump working between 2 temperature limits ( T3 and T4 ) ( T3 > T4 ) . The pump takes 17 kW of heat from the low temperature reservoir where T1 = 1200K, T2= T3 =335 K, T4 = 278...

A heat engine operates between two reservoirs at T2 = 600 K and T1 = 350...

A heat engine operates between two reservoirs at T2 = 600 K and T1 = 350 K. It takes in 1 000 J of energy from the higher-temperature reservoir and performs 250 J of work. Find (a) the entropy change of the Universe delta SU for this process and (b) the work W that could have been done by an ideal Carnot engine operating between these two reservoirs. (c) Show that the difference between the amounts of work done in...

Consider a heat engine that is 40% efficient and operating with a furnace at a temperature...

Consider a heat engine that is 40% efficient and operating with a furnace at a temperature of 727oC with a cooling reservoir at 27oC •A. If the heat engine withdraws 1MJ/s from the furnace, what is the rate of entropy loss from the furnace? • •B. What would be the rate of entropy gain in the cold reservoir? • •C. What is the total entropy gain of the system? D. Do A , B, and C again with zero efficiency...

A reversible heat engine operates between two reservoirs at temperatures 700 °C 푎푛푑 50 °C ....

A reversible heat engine operates between two reservoirs at temperatures 700 °C 푎푛푑 50 °C . The engine drives a reversible refrigerator which operates between reservoirs at temperatures of 50 °C 푎푛푑 − 25 °C . The heat transfer to the engine is 2500 KJ and the net work output of the combined engine refrigerator plant is 400 KJ. i) Determine the heat transfer to the refrigerant and the net heat transfer to the reservoir at 50 °C ii) Reconsider...

A heat engine operating between energy reserviors of 100.69 oC and 502.4oC has 22.12% of the...

A heat engine operating between energy reserviors of 100.69 oC and 502.4oC has 22.12% of the maximum possible efficiency. How much energy must this engine extract from the hot reservior to do 2,274.09J of work?

Prove that all Carnot engines operating between two same reservoirs have same efficiency.

Show that, for a Carnot engine operating between reservoirs at temperatures T1 and T2 (T1 >...

Show that, for a Carnot engine operating between reservoirs at temperatures T1 and T2 (T1 > T2), the thermal efficiency is given by Eta sub R = T1-T2/T1

42. You can prove in the following way that it is overall more efficient for an...

42. You can prove in the following way that it is overall more efficient for an engine to exhaust at the ambient environmental temperature than to exhaust at a cooler temperature that requires refrigeration. Suppose that the hot reservoir is at Th, the ambient temperature is Ta, and the refrigerated tem- perature is Tc. The engine cannot put out more work than would a Carnot engine operating between Th and Tc, so Weng = eQh = a[(Th − Tc)/Th] Qh,...

A heat engine receives an amount of energy Qh= 790 kJ by heat transfer from a...

A heat engine receives an amount of energy Qh= 790 kJ by heat transfer from a high temperature thermal reservoir at Th=950 K. Energy is rejected by heat transfer to a lower temperature thermal reservoir at T1=590 K. If waste heat in the amount of Q1=160 kJ is rejected to the low temperature thermal reservoir during each cycle. a) Solve for the maximum theoretical efficiency that an engine in this situation could operate with. ANSWER: 0.379 b) Solve for actual...

If energy is always conserved, how can some devices be more efficient then others?

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