Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink Calculator

✖Initial Temperature is the measure of hotness or coldness of a system at its initial state.ⓘ Initial Temperature [T_i]			+10% -10%
✖Final Temperature is the measure of hotness or coldness of a system at its final state.ⓘ Final Temperature [T_f]			+10% -10%

✖The Carnot Cycle Efficiency is the highest efficiency of any heat engine cycle allowed by physical laws.ⓘ Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink [n']

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Formula

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Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink

Formula

`"n'" = 1-"T"_{"i"}/"T"_{"f"}`

Example

`"0.115942"=1-"305K"/"345K"`

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Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink Solution

STEP 0: Pre-Calculation Summary

Formula Used

Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature
n' = 1-T_i/T_f
This formula uses 3 Variables

Variables Used

Carnot Cycle Efficiency - The Carnot Cycle Efficiency is the highest efficiency of any heat engine cycle allowed by physical laws.
Initial Temperature - (Measured in Kelvin) - Initial Temperature is the measure of hotness or coldness of a system at its initial state.
Final Temperature - (Measured in Kelvin) - Final Temperature is the measure of hotness or coldness of a system at its final state.

STEP 1: Convert Input(s) to Base Unit

Initial Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Final Temperature: 345 Kelvin --> 345 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n' = 1-T_i/T_f --> 1-305/345

Evaluating ... ...

n' = 0.115942028985507

STEP 3: Convert Result to Output's Unit

0.115942028985507 --> No Conversion Required

FINAL ANSWER

0.115942028985507 ≈ 0.115942 <-- Carnot Cycle Efficiency

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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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

Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink Formula

Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature
n' = 1-T_i/T_f

What is Carnot cycle?

The Carnot cycle is a theoretical ideal thermodynamic cycle . 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.

What is kelvin Plank Statement?

It is impossible to construct a device that operates in a thermodynamic cycle and produce no effect other than work and exchange of heat, while operating with single thermal reservoir.

How to Calculate Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink?

Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink calculator uses Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature to calculate the Carnot Cycle Efficiency, Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink gives us a result that if the maximum hot temperature reached by the gas is Th and the coldest temperature during the cycle is Tc, the fraction of heat energy input that comes out as mechanical work, called the efficiency. Carnot Cycle Efficiency is denoted by n' symbol.

How to calculate Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink using this online calculator? To use this online calculator for Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink, enter Initial Temperature (T_i) & Final Temperature (T_f) and hit the calculate button. Here is how the Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink calculation can be explained with given input values -> 0.115942 = 1-305/345.

FAQ

What is Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink?

Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink gives us a result that if the maximum hot temperature reached by the gas is Th and the coldest temperature during the cycle is Tc, the fraction of heat energy input that comes out as mechanical work, called the efficiency and is represented as n' = 1-T_i/T_f or Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature. Initial Temperature is the measure of hotness or coldness of a system at its initial state & Final Temperature is the measure of hotness or coldness of a system at its final state.

How to calculate Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink?

Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink gives us a result that if the maximum hot temperature reached by the gas is Th and the coldest temperature during the cycle is Tc, the fraction of heat energy input that comes out as mechanical work, called the efficiency is calculated using Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature. To calculate Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink, you need Initial Temperature (T_i) & Final Temperature (T_f). With our tool, you need to enter the respective value for Initial Temperature & Final Temperature 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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