Carnot Cycle of Heat Pump Calculator

✖Heat from High Temperature Reservoir is the heat to the body at a higher temperature.ⓘ Heat from High Temperature Reservoir [Q_high]			+10% -10%
✖Heat from Low Temperature Reservoir is the heat of the material at a lower temperature.ⓘ Heat from Low Temperature Reservoir [Q_low]			+10% -10%

✖Carnot cycle of heat pump reversible cycle so the four processes that comprise it, two isothermal and two isentropic, can also be reversed.ⓘ Carnot Cycle of Heat Pump [C_pump]

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Formula

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Carnot Cycle of Heat Pump

Formula

`"C"_{"pump"} = "Q"_{"high"}/("Q"_{"high"}-"Q"_{"low"})`

Example

`"1.333333"="800J"/("800J"-"200J")`

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Carnot Cycle of Heat Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Carnot Cycle of Heat Pump = Heat from High Temperature Reservoir/(Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir)
C_pump = Q_high/(Q_high-Q_low)
This formula uses 3 Variables

Variables Used

Carnot Cycle of Heat Pump - Carnot cycle of heat pump reversible cycle so the four processes that comprise it, two isothermal and two isentropic, can also be reversed.
Heat from High Temperature Reservoir - (Measured in Joule) - Heat from High Temperature Reservoir is the heat to the body at a higher temperature.
Heat from Low Temperature Reservoir - (Measured in Joule) - Heat from Low Temperature Reservoir is the heat of the material at a lower temperature.

STEP 1: Convert Input(s) to Base Unit

Heat from High Temperature Reservoir: 800 Joule --> 800 Joule No Conversion Required
Heat from Low Temperature Reservoir: 200 Joule --> 200 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_pump = Q_high/(Q_high-Q_low) --> 800/(800-200)

Evaluating ... ...

C_pump = 1.33333333333333

STEP 3: Convert Result to Output's Unit

1.33333333333333 --> No Conversion Required

FINAL ANSWER

1.33333333333333 ≈ 1.333333 <-- Carnot Cycle of Heat Pump

(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

< 8 Heat Engine and Heat Pump 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)

Carnot Cycle of Refrigerator

Go Carnot Cycle of Refrigerator = 1/(Heat from Low Temperature Reservoir/Heat from High Temperature Reservoir-1)

Work of Heat Pump

Go Work of Heat Pump = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir

Horse Power in Fluid Flow

Go Engine Power = (Fluid Flow Rate*Absolute Pressure)/(1714)

Air Fuel Ratio

Go Air to Fuel Ratio = Mass of Air/Mass of Fuel

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

Carnot Cycle of Heat Pump Formula

Carnot Cycle of Heat Pump = Heat from High Temperature Reservoir/(Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir)
C_pump = Q_high/(Q_high-Q_low)

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.

How to Calculate Carnot Cycle of Heat Pump?

Carnot Cycle of Heat Pump calculator uses Carnot Cycle of Heat Pump = Heat from High Temperature Reservoir/(Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir) to calculate the Carnot Cycle of Heat Pump, Carnot cycle of Heat Pump is a reversible cycle so the four processes that comprise it, two isothermal and two isentropic, can also be reversed. Carnot Cycle of Heat Pump is denoted by C_pump symbol.

How to calculate Carnot Cycle of Heat Pump using this online calculator? To use this online calculator for Carnot Cycle of Heat Pump, enter Heat from High Temperature Reservoir (Q_high) & Heat from Low Temperature Reservoir (Q_low) and hit the calculate button. Here is how the Carnot Cycle of Heat Pump calculation can be explained with given input values -> 1.333333 = 800/(800-200).

FAQ

What is Carnot Cycle of Heat Pump?

Carnot cycle of Heat Pump is a reversible cycle so the four processes that comprise it, two isothermal and two isentropic, can also be reversed and is represented as C_pump = Q_high/(Q_high-Q_low) or Carnot Cycle of Heat Pump = Heat from High Temperature Reservoir/(Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir). Heat from High Temperature Reservoir is the heat to the body at a higher temperature & Heat from Low Temperature Reservoir is the heat of the material at a lower temperature.

How to calculate Carnot Cycle of Heat Pump?

Carnot cycle of Heat Pump is a reversible cycle so the four processes that comprise it, two isothermal and two isentropic, can also be reversed is calculated using Carnot Cycle of Heat Pump = Heat from High Temperature Reservoir/(Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir). To calculate Carnot Cycle of Heat Pump, you need Heat from High Temperature Reservoir (Q_high) & Heat from Low Temperature Reservoir (Q_low). With our tool, you need to enter the respective value for Heat from High Temperature Reservoir & Heat from Low Temperature 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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