What is Carnot: Definition and 292 Discussions

The Carnot cycle is a theoretical ideal thermodynamic cycle proposed by French physicist Nicolas Léonard Sadi Carnot in 1824 and expanded upon by others over the next few decades. It provides an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a refrigeration system in creating a temperature difference by the application of work to the system. It is not an actual thermodynamic cycle but is a theoretical construct.
Every single thermodynamic system exists in a particular state. When a system is taken through a series of different states and finally returned to its initial state, a thermodynamic cycle is said to have occurred. In the process of going through this cycle, the system may perform work on its surroundings, for example by moving a piston, thereby acting as a heat engine. A system undergoing a Carnot cycle is called a Carnot heat engine, although such a "perfect" engine is only a theoretical construct and cannot be built in practice. However, a microscopic Carnot heat engine has been designed and run.Essentially, there are two "heat reservoirs" forming part of the heat engine at temperatures Th and Tc (hot and cold respectively). They have such large thermal capacity that their temperatures are practically unaffected by a single cycle. Since the cycle is theoretically reversible, there is no generation of entropy during the cycle; entropy is conserved. During the cycle, an arbitrary amount of entropy ΔS is extracted from the hot reservoir, and deposited in the cold reservoir. Since there is no volume change in either reservoir, they do no work, and during the cycle, an amount of energy ThΔS is extracted from the hot reservoir and a smaller amount of energy TcΔS is deposited in the cold reservoir. The difference in the two energies (Th−Tc)ΔS is equal to the work done by the engine.

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  1. B

    Carnot Engine Work Output w/Monatomic Gas: 288K to 497K

    Homework Statement A Carnot engine working with a monatomic gas operating between two temps, 288K and 497K. The engine performs 800 J of net work. Homework Equations Q = nRT ln (V final/V initial) The Attempt at a Solution I don't have enough info for the above equation. I...
  2. 2

    Thermodynamics: Carnot engines

    1. There are two parts to this problem. I'm having trouble with the second part, but I'll include the first part as well since it's probably needed for the second part. Part 1: "A building is cooled by a Carnot engine operated in reverse (a Carnot refrigerator). The outside temperature is...
  3. Wellesley

    Thermodynamics - Carnot efficiency

    Homework Statement On a hot day a house is kept cool by an air conditioner. The outside temperature is 32°C and the inside temperature is 21°C. Heat leaks into the house at the rate of 9000 kcal/h. If the air conditioner has the efficiency of a Carnot engine, what is the mechanical power that...
  4. Wellesley

    Thermodynamics - Carnot Engine

    Homework Statement A Carnot engine has 40 g of helium gas as its working substance. It operates between two reservoirs of temperatures T1 = 400°C and T2 = 60°C. The initial volume of the gas is V1 = 2.0 X 10-2 m3, the volume after isothermal expansion is V2 = 4.0 X 10-2 m3, and the volume...
  5. homology

    Carnot engine with finite reservoirs

    Homework Statement I'm trying to find the final temperature of a carnot engine with two finite thermal reservoirs. We're told that the heat capacities for both reservoirs are constant (and equal) and to regard the change in each reservoir's temperature during any 1 cycle as negligible...
  6. V

    Ideal Carnot Engine: Find Time & Power Output

    Homework Statement An ideal Carnot engine operates between a heat reservoir and a block of ice of mass M. An external energy source maintains the reservoir at a constant temperature T_{h}. At time t=0 the ice is at its melting point T_{0}, but it is insulated from everything except the...
  7. W

    Solving Carnot Heat Problem: 1637.8BTU Answered

    Homework Statement Problem: A heat engine is connected to a 300watt motor. If we power the motor for 4hrs and heat engine is 40% efficient,how much heat is extracted from heat source in? Homework Equations Given: Q= heat QC=waste heat QH=W+QC and Power=E/t or Work/t The...
  8. 8

    How Much Work Can Be Extracted from Copper Blocks Using a Carnot Process?

    Homework Statement Four identical blocks of copper, of mass 20Kg each, are 'perfectly' isolated from the environment. One is kept at a temperature of 573K and the other three at 288K. The heat capacity of copper is 375 J/K/Kg. Assume a carnot process is being used to exploit the temperature...
  9. W

    Calculate Heat Rejected by 200W Lamp in 1 Hour

    Given : QH=W+QC and Power= E/t or W/t A heat engine is attached to a 200W lamp. If we power the lamp for 1 hour and extract 700 btu from the heat source, how much heat is rejected? Attempt: 200w(3.412btu/1w) = 682.4 btu now, 700 btu-682.4 btu =17.6 btu rejected??
  10. T

    Clarifying the Cooling Stages of a Carnot Engine

    Note this is more of a coursework question about the theory behind Carnot engines as opposed to an actual homework question. Homework Statement The Attempt at a Solution So I am reading the theory behind a Carnot Engine and I am a little confused about the cooling stages of the Carnot cycle...
  11. A

    What is the Efficiency of a Carnot Air Conditioner?

    Homework Statement A Carnot air conditioner takes energy from the thermal energy of a room at 70 degrees F and transfers it to the outdoors, which is at 96 degrees F. For each joule of electric energy required to operate the air conditioner, how many joules are removed from the room? Homework...
  12. L

    Expansion Volume of n-Pentane as Working Fluid & Carnot Efficiency

    Greetings Engineers & Scientists. This is my first post. I'm an accountant so excuse my ignorance. See diagram attached. I want to calculate how much volume expansion there would be if we vapourised n-pentane. I did this experiment with air (on a smaller scale) but there was not much...
  13. S

    Thermodynamics: Steam Powered Carnot Engine Question

    Homework Statement A steam engine has a cylinder 80cm in diameter with a piston that has a total travel length of 1.8m. Assume that there is no "dead space" between the cylinder head and the piston when the piston is farthest in the cylinder. Steam is piped into the cylinder head from an...
  14. T

    Quick Question- carnot efficiency

    Suppose an engine uses multiple heat reservoirs: When calculating the carnot (maximum possible efficiency) is it valid to simply take the average of the temperatures of the hot reservoirs from which the heat is extracted as T(hot) and the average of the temperatures of the heat sinks to which...
  15. L

    Efficiency of Carnot Engine Question

    Homework Statement This is from "Equilibrium Statistical Physics" by Plischke and Bergerson, problem 1.1: "Consider a Carnot engine working between reservoirs at temperatures T1 and T2. The working substance is an ideal gas obeying the equation of state [ PV=Nk_BT ], which may be taken to be...
  16. T

    Carnot Engine Problem: Answers to Heat, Entropy & Thermal Efficiency

    Homework Statement A Carnot Engine operating between 900 Fahrenheit and 90 Fahrenheit produces 40,000 ft-lb of work. Determine (a) the heat supplied, (b) the change in entropy during heat rejection and (c) the thermal efficiency of engine. (answers should be in BTU) Homework Equations What...
  17. M

    Carnot Engine: Efficiency, Law of Thermodynamics, 6 Stroke

    the carnot engine does not obey any law of thermodynamics,because it has 100% efficiency,now do we have any engine that has come close to this hypothetical engine?(in terms of efficiency ) can this process of carnot be used for a 6 stroke engine?(hypothetically)
  18. S

    Adiabatic process in carnot cycle

    Hey. I'm supposed to calculate the work done in an adiabatic process, B-C, and I only know the values of the temperatures and the volume in the first point (point B). It is not known if it is a mono or diatomic gas, therefore i don't know the value of gamma. I've tried T*V^(gamma-1)=K and the...
  19. C

    Max Efficiency of a Carnot Engine vs Other Engines

    quick question, is the difference between a carnot engine to an engine is that the engines eff is less than or equal 1-(cold temp / hot temp), and the carnot is the max of this which is just equal 1-(cold temp / hot temp)?
  20. C

    Ideal Carnot Engine Homework | 5kW Output, 35% Efficiency, 30deg Heat Rejection

    Homework Statement An ideal Carnot engine produces a power output of 5kW at a thermal efficiency of 35% while rejecting heat reversibly to a reservoir at 30degrees. It achieves this output while executing 10 cycles per second. a) What temperature is the engine receiving its heat supply...
  21. C

    Connecting two Carnot engions-

    [b]1. The efficiency of a cyclic engine is given by the work done by the engine, divided by the heat intake from the surroundings. One Carnot engine drives another in series. Draw a schematic diagram of the combined engine and give an expression for the overall efficiency of this arrangement...
  22. V

    Carnot Engine question- quick check

    A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. In 5 minutes of operation of the engine, the heat rejected by the engine melts a mass of ice equal to 2.85×10−2 Kg. Throughout this...
  23. L

    Entropy Change in a Carnot Engine

    Homework Statement A Carnot engine using a gas operates between 2 reservoirs of temperatures 1000K and 280K. The work output per cycle is 1kJ. a) What is the efficiency? b) What is the entropy change of the gas per cycle due to the heat transfer at the hot reservoir? Homework Equations...
  24. R

    Carnot Freezer Engine Efficiency Calculation

    Homework Statement A Carnot freezer in a kitchen has constant temperature of 260k, while the air in the kitchen has a constant temperature of 300K. Suppose the insulation for the freezer is not perfect and energy is conducted into the freezer at a rate of .15 Watts. Determine the average...
  25. M

    Pressure and volume at each stage Carnot engine

    A carnot engine uses 0.05kg of air as the working substance. The temperature limits of the cycle are 300K and 940K, the maximum pressure is 8400KPa, and the heat added per cycle is 4.2KJ. Determine the pressure and volume at each state of the cycle. r(gamma)=1.4 and R=0.287KJ/Kg Kim pretty sure...
  26. A

    Reversible processes and carnot cycle

    i want to ask why heat transfer is considered ti be an irreversibility and why in carnot carnot cycle heat addititon is at constant temperature to make this process reversible
  27. E

    Thermodynamics- carnot engine power

    Homework Statement An ice making plant consists of a reversed Carnot engine extracting heat from a well- insulated box. The temperature in the icebox is -5C and the temperature of ambient air is 30C. Water of an initial temp 30C is placed in the icebox and allowed to freeze and cool to -5C...
  28. N

    Carnot engine rejected heat problem

    Homework Statement From the hot reservoir at a temperature of T1, Carnot Engine A takes an input heat of 5550J, delivers 1750J of work and rejects heat to a cold reservoir that has a temperature of 503K. This cold reservoir also serves as the hot reservoir for a second Carnot Engine, B, which...
  29. A

    Thermodynamics: Carnot efficiency

    Homework Statement In one location, the average daily temperature varies sinusoidally between 35C in summer and 0C in winter. The ground temperature below 2 m underground is the annual average temperature. A heat pump / air conditioner unit must deliver air to a house at 30C in winter and...
  30. K

    What is the Efficiency of a Carnot Refrigerator?

    In the textbook, it reads: the reverse of carnot cycle is just a refrigerator or heat pump. In this sense, except for the direction of carnot cycle is reverse, could I say the way to calculate the efficiency of the carnot refrigerator is the same? That is, could be still use \eta = 1 -...
  31. I

    Something > Carnot efficiency ? WTF?

    Something > Carnot efficiency ? WTF? So I've made a very simple, ideal model of a heat engine, and my calculations just don't match up to the carnot thing: efficiency = 1-(Tc/Th) It looks like this: I supposed a rectangular block, base of 1cm by 1cm, and a piston free to move up and down...
  32. I

    Carnot engine as a heat pump

    Homework Statement An ideal (Carnot) engine has an efficiency of 50 % If it were possible to run it backward as a heat pump, what would be its coefficient of performance? Homework Equations COP = (TL) / (TH - TL ) The Attempt at a Solution no temperatures are given. I just...
  33. B

    Two Carnot Engines working in Series Problem

    I was wondering if anyone would be able to help with this question; Two carnot engines operate in series between a source 800K and a sink of 290K. The first engine rejects 400kJ to the second engine. If both engines have the same efficiency, calculate; (i) the temperature for the source of...
  34. J

    Solving a Carnot Engine Question: Power Output and Wasted Energy Calculation

    Homework Statement A heat engine operates in a Carnot cycle between 80 degrees C and 350 degrees C. It absorbs 21,000 J of energy per cycle from the hot reservoir. a. THe duration of each cycle is 1s. What is the mechanical power output of the engine? b. How much energy does it expel in each...
  35. L

    Carnot engine efficiency and exhaust problem

    Homework Statement The exhaust temperature of a Carnot heat engine is 121◦C. What is the intake temperature if the efficiency of the engine is 13.4 %? Answer in units of ◦C. Homework Equations e=1-(Tc/Th) The Attempt at a Solution This seems like just a plug and chug problem...
  36. R

    Thermodynamics - Carnot engine

    Homework Statement Consider 2 identical bodies of constant heat capacity Cp and with negligble termal expansion coefficients. Initial temperatures are T1 and T2. a) When they are placed in thermal contact in an adiabatic enclosure, what is their final temperature? b) The 2 bodies are...
  37. E

    Carnot engines and refrigerators

    Homework Statement I am not necessarily having a problem with a particular homework problem. It is more of a conceptual issue. I have been reading about Carnot engines and refrigerators. In trying to understand the topic better, I did a little more digging and looked up how a refrigerator...
  38. J

    (Thermodynamics) Engines Working in Pairs; Calculating Carnot effiency

    Homework Statement At a steam power plant, steam engines work in pairs, the heat output of the first one being the approximate heat input of the second. The operating temperatures of the first are 720C and 428C, and of the second 417C and 260C. If the heat of combustion of coal is 2.8 *...
  39. G

    Carnot Engine: A Firebox at 750K, Efficiency 60.0%: Part (a) & (b) Explained

    A firebox is at 750K, and the ambient temperature is 300K. The efficiency of a Carnot engine doing 150J of work as it transports energy between these constant-temperature baths is 60.0%. The Carnot engine must take in energy 150J/.600 = 250J from the hot reservoir and must put out 100J of...
  40. D

    Calculating Work Done by a Carnot Engine

    Homework Statement An ideal Carnot engine takes in 160 kcal of heat at 110°C and exhausts some of this at 10°C. How much work (in joules) must have been done by the engine? Homework Equations The engine's efficiency is ε = (TH - TL)/TH. The hint tells me that I need to use the First Law of...
  41. S

    Ideal Gas Carnot Cycle: Temperature and Entropy Analysis

    Homework Statement an ideal gas operates in a carnot cycle so that it produces a net positive work of 400 joules per cycle. the maximum temperature during the cycle is 300 deg celsius and the heat lost to a low temperature bath is 600 joules per cycle. a) what must be the temperature of the...
  42. H

    Melting Ice with a Carnot Engine

    A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. In 5 minutes of operation of the engine, the heat rejected by the engine melts a mass of ice equal to 3.40×10^−2 kg. Throughout this problem...
  43. H

    Carnot Icemaker: Calculate Heat Rejected

    An ice-making machine inside a refrigerator operates in a Carnot cycle. It takes heat from liquid water at 0.0 C and rejects heat to a room at a temperature of 22.2 C. Suppose that liquid water with a mass of 86.2 kg at 0.0 C is converted to ice at the same temperature. Take the heat of fusion...
  44. N

    What is the true statement about Carnot engine efficiency?

    Homework Statement Which of the following statements about a Carnot engine is true? a) Any Carnot engine has an efficiency of 100% b) Irreversible energies have the greatest possible efficiency. c) Heat can spontaneously flow from a cold reservoir to a hotter reservoir. d) If a process is...
  45. L

    Carnot engine working in reverse poblem-

    Homework Statement A heat pump is used to heat a building. The outside temp is -5.0 Celsius and the temp inside the building is to be maintained at 22 Celsius. The pump's coefficient of performance is 3.8, and the heat pump delivers 7.54MJ as heat to the building each hour. If the heat pump...
  46. L

    Solve Carnot Engine: Efficiency (T1-T3)/T1

    [SOLVED] Carnot engine - please help asp I just typed a whole question and as I typed it I solved it, lol! Homework Statement In the 1st stage of a 2-stage Carnot engine, energy is absorbed as heat Q1 at temp T1, work W1 is done, and energy is expelled as heat Q2 at lower temp T2. The...
  47. E

    Why the Carnot cycle is not used with real engines?

    I have a question on Why the Carnot cycle is not used with real engines? I need to refer to real cycles in my explanation.
  48. H

    Heat Engines and the Carnot Cycle

    [SOLVED] Heat Engines and the Carnot Cycle Homework Statement The operating temperatures for a Carnot engine are Tc and Th= Tc + 55K. The efficiency of the engine is 15%. How do i find Tc?
  49. S

    How Do Steam Temperature and Exhaust Temperature Affect Steam Engine Efficiency?

    Homework Statement Homework Equations You are designing a steam engine and you want to make it as efficient as possible in terms of the energy used to run it and the useful energy it can produce. What do you want to maximize and minimize in terms of the steam temperature and the...
  50. X

    Melting Ice with a Carnot Engine

    Homework Statement A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. In 5 minutes of operation of the engine, the heat rejected by the engine melts a mass of ice equal to 3.50×10−2 kg ...
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