Thermal Efficiency of Carnot Engine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir
ηth c = 1-TL/TH
This formula uses 3 Variables
Variables Used
Thermal Efficiency of Carnot Engine - Thermal Efficiency of Carnot engine is the theoretical max efficiency one can get when heat engine is operating between two temperatures high and low.
Absolute Temperature of Cold Reservoir - (Measured in Kelvin) - Absolute temperature of cold reservoir in a Carnot engine is the indicator of the degree or intensity of heat present in the reservoir.
Absolute Temperature of Hot Reservoir - (Measured in Kelvin) - Absolute temperature of hot reservoir in a Carnot engine is the degree or intensity of heat present in the reservoir.
STEP 1: Convert Input(s) to Base Unit
Absolute Temperature of Cold Reservoir: 310 Kelvin --> 310 Kelvin No Conversion Required
Absolute Temperature of Hot Reservoir: 610 Kelvin --> 610 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηth c = 1-TL/TH --> 1-310/610
Evaluating ... ...
ηth c = 0.491803278688525
STEP 3: Convert Result to Output's Unit
0.491803278688525 --> No Conversion Required
FINAL ANSWER
0.491803278688525 0.491803 <-- Thermal Efficiency of Carnot Engine
(Calculation completed in 00.004 seconds)

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Created by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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13 Production of Power from Heat Calculators

Carnot Cycle of Heat Pump
Go Carnot Cycle of Heat Pump = Heat from High Temperature Reservoir/(Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir)
Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir
Go COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)
Thermal Expansion
Go Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change)
Thermal Efficiency of Carnot Engine
Go Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir
Work of Heat Pump
Go Work of Heat Pump = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir
Coefficient of Performance of Heat Pump using Work and Heat in Cold Reservoir
Go COP of Heat Pump in Cold Reservoir = Heat in the hot reservoir/Mechanical Energy
Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink
Go Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature
Thermal Efficiency of Heat Engine
Go Thermal Efficiency of Heat Engine = Work/Heat Energy
Otto Cycle Efficiency
Go OTE = 1-Initial Temperature/Final Temperature
Real Heat Engine
Go Real Heat Engine = Work of Heat Pump/Heat
Real Heat Pump
Go Real Heat Pump = Heat/Work of Heat Pump
Performance of Heat Pump
Go Heat Pump = Heat/Work of Heat Pump
Ranking Cycle Efficiency
Go Ranking Cycle = 1-Heat Ratio

17 Thermal Efficiency Calculators

Diesel Efficiency
Go Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1)))
Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency
Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency
Volumetric Efficiency given Compression and Pressure Ratio
Go Volumetric Efficiency = 1+Compression Ratio+Compression Ratio* Pressure Ratio^(1/Gamma)
Thermal Efficiency of Carnot Engine
Go Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir
Brayton Cycle Efficiency
Go Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma))
Thermal Efficiency given Mechanical Energy
Go Thermal Efficiency given Mechanical energy = Mechanical Energy/Thermal Energy
Thermal Efficiency given Waste Energy
Go Thermal efficiency given Waste energy = 1-Waste Heat/Thermal Energy
Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink
Go Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature
Nozzle Efficiency
Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy
Indicated Thermal Efficiency
Go Indicated Thermal Efficiency = Brake Power/Heat Energy
Thermal Efficiency of Heat Engine
Go Thermal Efficiency of Heat Engine = Work/Heat Energy
Cooled Compressor Efficiency
Go Cooled Compressor Efficiency = Kinetic Energy/Work
Brake Thermal Efficiency
Go Brake Thermal Efficiency = Brake Power/Heat Energy
Otto Cycle Efficiency
Go OTE = 1-Initial Temperature/Final Temperature
Compressor Efficiency
Go Compressor Efficiency = Kinetic Energy/Work
Turbine Efficiency
Go Turbine Efficiency = Work/Kinetic Energy
Ranking Cycle Efficiency
Go Ranking Cycle = 1-Heat Ratio

Thermal Efficiency of Carnot Engine Formula

Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir
ηth c = 1-TL/TH

What is Thermal efficiency of a Carnot engine?

The thermal efficiency of a Carnot engine is the theoretical maximum efficiency one can get when the heat engine is operating between two temperatures: 1) The temperature at which the high-temperature reservoir operates, and 2) The temperature at which the low-temperature reservoir operates.
The thermal efficiency of a heat engine is the percentage of heat energy that is transformed into work.

How to Calculate Thermal Efficiency of Carnot Engine?

Thermal Efficiency of Carnot Engine calculator uses Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir to calculate the Thermal Efficiency of Carnot Engine, Thermal efficiency of Carnot engine is the theoretical maximum efficiency one can get when the heat engine is operating between two temperatures: 1) The temperature at which the high-temperature reservoir operates, and 2) The temperature at which the low-temperature reservoir operates. Thermal Efficiency of Carnot Engine is denoted by ηth c symbol.

How to calculate Thermal Efficiency of Carnot Engine using this online calculator? To use this online calculator for Thermal Efficiency of Carnot Engine, enter Absolute Temperature of Cold Reservoir (TL) & Absolute Temperature of Hot Reservoir (TH) and hit the calculate button. Here is how the Thermal Efficiency of Carnot Engine calculation can be explained with given input values -> 0.491803 = 1-310/610.

FAQ

What is Thermal Efficiency of Carnot Engine?
Thermal efficiency of Carnot engine is the theoretical maximum efficiency one can get when the heat engine is operating between two temperatures: 1) The temperature at which the high-temperature reservoir operates, and 2) The temperature at which the low-temperature reservoir operates and is represented as ηth c = 1-TL/TH or Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir. Absolute temperature of cold reservoir in a Carnot engine is the indicator of the degree or intensity of heat present in the reservoir & Absolute temperature of hot reservoir in a Carnot engine is the degree or intensity of heat present in the reservoir.
How to calculate Thermal Efficiency of Carnot Engine?
Thermal efficiency of Carnot engine is the theoretical maximum efficiency one can get when the heat engine is operating between two temperatures: 1) The temperature at which the high-temperature reservoir operates, and 2) The temperature at which the low-temperature reservoir operates is calculated using Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir. To calculate Thermal Efficiency of Carnot Engine, you need Absolute Temperature of Cold Reservoir (TL) & Absolute Temperature of Hot Reservoir (TH). With our tool, you need to enter the respective value for Absolute Temperature of Cold Reservoir & Absolute Temperature of Hot Reservoir and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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