Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir Solution

STEP 0: Pre-Calculation Summary
Formula Used
COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)
COPHP = QH/(QH-QL)
This formula uses 3 Variables
Variables Used
COP of Heat Pump given Heat - COP of Heat Pump given Heat given the heat in the cold and hot reservoir is the ratio of the heat supplied to the system to the work required by the system.
Heat in the hot reservoir - (Measured in Joule) - Heat in the hot reservoir is the energy that is transferred between two systems of different temperatures to get into the higher temperature.
Heat in Cold Reservoir - (Measured in Joule) - Heat in Cold Reservoir is the energy that is transferred between two systems of different temperatures to get into the lower temperature.
STEP 1: Convert Input(s) to Base Unit
Heat in the hot reservoir: 640 Joule --> 640 Joule No Conversion Required
Heat in Cold Reservoir: 350 Joule --> 350 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
COPHP = QH/(QH-QL) --> 640/(640-350)
Evaluating ... ...
COPHP = 2.20689655172414
STEP 3: Convert Result to Output's Unit
2.20689655172414 --> No Conversion Required
FINAL ANSWER
2.20689655172414 2.206897 <-- COP of Heat Pump given Heat
(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

6 Coefficient of Performance Calculators

Coefficient of Performance of Absorption System
Go Coefficient of Performance of absorption system = (Evaporator Temperature*(Generator temperature-Condenser temperature))/(Generator temperature*(Condenser temperature-Evaporator Temperature))
Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir
Go COP of Refrigerator given Heat = Heat in Cold Reservoir/(Heat in the hot reservoir-Heat in Cold 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)
Coefficient of Performance of Refrigerator
Go Coefficient of Performance of Refrigerator = Heat from Low Temperature Reservoir/Refrigerator Work
Coefficient of Performance of Refrigerator given Work and Heat in Cold Reservoir
Go COP of Refrigerator in Cold Reservoir = Heat in Cold Reservoir/Mechanical Energy
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

Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir Formula

COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)
COPHP = QH/(QH-QL)

What is Coefficient of Performance of Heat Pump using the Heat in the Cold and Hot Reservoir?

Coefficient of Performance of Heat Pump given the heat in the cold and hot reservoir is the ratio of the heat supplied to the system by the work required by the system. It indicates the units of power the system will provide as output for one unit of power.

How to Calculate Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir?

Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir calculator uses COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir) to calculate the COP of Heat Pump given Heat, Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir is the ratio of the heat supplied to the system by the work required by the system. COP of Heat Pump given Heat is denoted by COPHP symbol.

How to calculate Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir using this online calculator? To use this online calculator for Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir, enter Heat in the hot reservoir (QH) & Heat in Cold Reservoir (QL) and hit the calculate button. Here is how the Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir calculation can be explained with given input values -> 2.206897 = 640/(640-350).

FAQ

What is Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir?
Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir is the ratio of the heat supplied to the system by the work required by the system and is represented as COPHP = QH/(QH-QL) or COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir). Heat in the hot reservoir is the energy that is transferred between two systems of different temperatures to get into the higher temperature & Heat in Cold Reservoir is the energy that is transferred between two systems of different temperatures to get into the lower temperature.
How to calculate Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir?
Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir is the ratio of the heat supplied to the system by the work required by the system is calculated using COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir). To calculate Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir, you need Heat in the hot reservoir (QH) & Heat in Cold Reservoir (QL). With our tool, you need to enter the respective value for Heat in the hot reservoir & Heat in Cold 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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