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

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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. Check FAQs

COP HP = \frac{Q H}{Q H - Q L}

COP_HP - COP of Heat Pump given Heat?Q_H - Heat in the hot reservoir?Q_L - Heat in Cold Reservoir?

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

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Here is how the Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir equation looks like with Values.

Here is how the Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir equation looks like with Units.

Here is how the Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir equation looks like.

2.2069 = \frac{640}{640 - 350}

2.2069 = \frac{640J}{640J - 350J}

2.2069 = \frac{640}{640 - 350}

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

Follow our step by step solution on how to calculate Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir?

FIRST Step Consider the formula

COP HP = \frac{Q H}{Q H - Q L}

Next Step Substitute values of Variables

∴

COP HP = \frac{640J}{640J - 350J}

Next Step Prepare to Evaluate

∴

COP HP = \frac{640}{640 - 350}

Next Step Evaluate

∴

COP HP = 2.20689655172414

LAST Step Rounding Answer

∴

COP HP = 2.2069

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

Variables

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.

Symbol: COP_HP

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find COP of Heat Pump given Heat

Heat in the hot reservoir

Heat in the hot reservoir is the energy that is transferred between two systems of different temperatures to get into the higher temperature.

Symbol: Q_H

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Heat in the hot reservoir

Heat in Cold Reservoir

Heat in Cold Reservoir is the energy that is transferred between two systems of different temperatures to get into the lower temperature.

Symbol: Q_L

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Heat in Cold Reservoir

Other formulas in Production of Power from Heat category

Go Coefficient of Performance of Absorption System

coeff_v_abs = \frac{Tevp \cdot (Tgen - Tcond)}{Tgen \cdot (Tcond - Tevp)}

Go Coefficient of Performance of Heat Pump using Work and Heat in Cold Reservoir

COP HP(CR) = \frac{Q H}{W net}

Go Coefficient of Performance of Refrigerator

COP Refrigerator = \frac{Q low}{RW}

Go Coefficient of Performance of Refrigerator given Heat in Cold and Hot Reservoir

COP R = \frac{Q L}{Q H - Q L}

How to Evaluate 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 evaluator uses COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir) to evaluate 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 COP_HP symbol.

How to evaluate Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir using this online evaluator? To use this online evaluator for Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir, enter Heat in the hot reservoir (Q_H) & Heat in Cold Reservoir (Q_L) and hit the calculate button.

FAQs on Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir

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

The formula of Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir is expressed as COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir). Here is an example- 2.206897 = 640/(640-350).

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

With Heat in the hot reservoir (Q_H) & Heat in Cold Reservoir (Q_L) we can find Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir using the formula - COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir).

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