Suppose that two ideal reversible heat engines are connected in series, such that the heatreleased by the first engine is used as the heat absorbed by the second engine, as shown in thefigure. Engine 1 operates between Th and Tm, and Engine 2 operates between Tm and Te, whereTh> Tm > Tc. Show that the net efficiency of this combination is given by & = 1Ththat this result means that two reversible engines operating "in series" are equivalent to onereversible heat engine operating between the hottest and coldest reservoirs.Te. NoteEDIT: Added the figure.ThImTcQhEngine 1QmQmEngine 2QcW₁W₂

Answered: Image /qna-images/answer/8a85617e-7cea-45b9-a3d0-c8c627e7efce.jpg

Suppose that two ideal reversible heat engines are connected in series, such that the heat released by the first engine is used as the heat absorbed by the second engine, as shown in the figure. Engine 1 operates between T₁ and Tm, and Engine 2 operates between Tm and To, where Tħ > Tm > Tċ. Show that the net efficiency of this combination is given by € = 1 – Note that this result means that two reversible engines operating "in series" are equivalent to one reversible heat engine operating between the hottest and coldest reservoirs. Te Th EDIT: Added the figure. Th Tm T E Qh Engine 1 Qm Qm Engine 2 lc W₁ W₂

Suppose that two ideal reversible heat engines are connected in series, such that the heat released by the first engine is used as the heat absorbed by the second engine, as shown in the figure. Engine 1 operates between T₁ and Tm, and Engine 2 operates between Tm and To, where Tħ > Tm > Tċ. Show that the net efficiency of this combination is given by € = 1 – Note that this result means that two reversible engines operating "in series" are equivalent to one reversible heat engine operating between the hottest and coldest reservoirs. Te Th EDIT: Added the figure. Th Tm T E Qh Engine 1 Qm Qm Engine 2 lc W₁ W₂

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A Carnot engine operating between two particular temperatures has an efficiency of 0.55. Part (a)…

A: Write the equation for the the relation between the COP of heat pump, refrigerator and Carnot…

Q: Suppose you want to build a Carnot engine with an efficiency of 90%. If the hot reservoir has a…

A: Given data The efficiency of the Carnot engine is given as ηc=90%. The temperature of the hot…

Q: Carnot engine A has an efficiency of 0.62, and Carnot engine B has an efficiency of 0.77. Both…

Q: In this problem a heat engine, each cycle, absorbs an amount of energy Qh = 1845 J from a hot…

Q: A real (non-Carnot) heat engine, operating between heat reservoirs at temperatures of 510 K and 270…

A: Given- T1 = 510 K T2 = 270 K W = 2.4 kJ Q= 37.6 kJ Part(a) The thermal efficiency of a real heat…

Q: Heat in the amount of 113kJ is transferred directly from a hot reservoir at 810 °C to a cold…

A: Heat, Q = 113 kJTemperature of hot reservoir, Th = 810 °CTemperature of cold reservoir, Tc = 390 °C…

Q: Suppose a Carnot engine that has an efficiency of 52% and a cold reservoir temperature of 31 degrees…

Q: It has been proposed to use the thermal gradient of the ocean to drive a heat engine. Suppose that…

Q: A Styrofoam cup holding 145 g of hot water at 1.00 x 102°C cools to room temperature, 18.0°C. What…

A: Given Data: Mass of hot water is m=145 g=0.145 kg Initial temperature is T1=1.00×102 °C=100 °C…

Q: Suppose you want to build a Carnot engine with an efficiency of 80%. If the hot reservoir has a…

A: Given data: A Carnot engine Efficiency (n) = 80% = 0.80 Temperature of hot reservoir (TH) = 1200 K…

Q: Consider a car trip into the mountains. Construct a problem in which you calculate the overall…

A: The road trip starts and ends at rest. So the only energy consumption will be because of the…

Q: A gasoline engine has a compression ratio of 6.00. (a) What is the efficiency of the engine if it…

A: a) the expression to calculate the efficiency of the engine if it operates in an idealized Otto…

Q: Calculate the work done by the refrigerator if it is having a coefficient of performance of 2.3 and…

A: Given:Coefficent of performance is 2.3Release 200 J of heat energy to the reservoirTo Find:Work Done…

Q: A cyclical heat engine operating according to a Carnot cycle has an efficiency of 13.0% efficiency.…

A: only three subpart is allowed pr question. please post remaining parts in new post.

Q: Steam locomotives have an efficiency of 18.2% and operate with a hot steam temperature of 455°C.…

A: Hence the answer in three significant figures is 596.K.

Q: (a) What is the hot reservoir temperature (in degrees C) of a Carnot engine that has an efficiency…

Q: Suppose that there are two very large reservoirs of water, one at a temperature of 85.0 °C and one…

A: Temperature of first reservoir (T) = 85oC temperature of second reservoir (T') = 19oC Heat…

Q: 2.5 kg of water at 32 ∘C is mixed with 2.5 kg of water at 63 ∘C in a well-insulated container.…

A: SOlution: Given that 2.5 kg of water at 32 ∘C is mixed with 2.5 kg of water at 63 ∘C in a…

Q: Engine A receives 4 times more input heat, produces 6 tir more work, and rejects efficiency of (a)…

Q: A heat engine operates between a high temperature of 1000 °C and a low temperature of 500 °C. Assume…

A: This problem can be solved using the formula for efficiency of carnot engine.

Q: A puddle containing 1.10 kg of water at 0°C freezes on a cold night, becoming ice at 0°C. What was…

A: Given that The mass of the water 1.10Kg covert into gram m = 1100g Latent…

Q: P (10° N/m) PA P3 A D Po V8 V (10° m) VA

Q: A heat pump removes 2060 J of heat from the outdoors and delivers 3060 J of heat to the inside of a…

A: Given data The heat removed by the pump is QL=2060 J The heat delivered by the house is QH=3060 J…

Q: For an ideal heat engine operating at its maximum possible efficiency of 46%, what is the highest…

Q: (a) What is the hot reservoir temperature (in degrees C) of a Carnot engine that has an efficiency…

A: (a) efficiency = 42.5 % cold reservoir temperature, T2 = 30 degree C = 303 K let the temperature…

Q: In an isothermal reversible expansion at 31°C, an ideal gas does 28 J of work. What is the entropy…

Q: every second at Yosemite park approximately 500m^3 of water falls a distance of 97m. what is the…

A: Given : Volume of water falling every second, V = 500m3 Distance at which water falls, h = 97m…

Question

Suppose that two ideal reversible heat engines are connected in series, such that the heat
released by the first engine is used as the heat absorbed by the second engine, as shown in the
figure. Engine 1 operates between Th and Tm, and Engine 2 operates between Tm and Te, where
Th> Tm > Tc. Show that the net efficiency of this combination is given by & = 1
Th
that this result means that two reversible engines operating "in series" are equivalent to one
reversible heat engine operating between the hottest and coldest reservoirs.
Te
. Note
EDIT: Added the figure.
Th
Im
Tc
Qh
Engine 1
Qm
Qm
Engine 2
Qc
W₁
W₂

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Calculate the maximum theoretical efficiency of a heat engine that operates with the hot steam temperature at 390 °C and the cool steam temperature at 230°C. Please give your answer in two decimals, NOT percentage. For example, efficiency of 0.62. Your Answer: Answer
Show how to calculate the efficiency of a cyclic heat engine if it takes in 571 J as heat and then loses 463 J as heat in each cycle.
A haeat engine uses a heat source at 580 degrees C and has an ideal (Carnot) efficieng=cy of 22%. To increase athe ideal efficiency to 42 %, what must be the temperature of the heat source?
(a) What is the hot reservoir temperature (in degrees C) of a Carnot engine that has an efficiency of 40.0% and a cold reservoir temperature of 32.5°C ? °C (b) What must the hot reservoir temperature (in degrees C) be for a real heat engine that achieves 0.750 of the maximum efficiency, but still has an efficiency of 40.0% (and a cold reservoir at 32.5°C )? °C
A clear detailed answer would be great to understanding the question and also how to solve it!