Work Required to Drive Compressor Including Mechanical Losses Calculator

✖Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.ⓘ Mechanical Efficiency [η_m]			+10% -10%
✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Temperature at Compressor Exit is the temperature of the gases exiting the compressor.ⓘ Temperature at Compressor Exit [T₂]			+10% -10%
✖Temperature at Compressor Inlet is the temperature of the gases entering the compressor.ⓘ Temperature at Compressor Inlet [T₁]			+10% -10%

✖Compressor Work is the work done by the compressor on the fluid.ⓘ Work Required to Drive Compressor Including Mechanical Losses [W_c]

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Work Required to Drive Compressor Including Mechanical Losses Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
W_c = (1/η_m)*C_p*(T₂-T₁)
This formula uses 5 Variables

Variables Used

Compressor Work - (Measured in Joule) - Compressor Work is the work done by the compressor on the fluid.
Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
Temperature at Compressor Exit - (Measured in Kelvin) - Temperature at Compressor Exit is the temperature of the gases exiting the compressor.
Temperature at Compressor Inlet - (Measured in Kelvin) - Temperature at Compressor Inlet is the temperature of the gases entering the compressor.

STEP 1: Convert Input(s) to Base Unit

Mechanical Efficiency: 0.99 --> No Conversion Required
Specific Heat Capacity at Constant Pressure: 1.248 Kilojoule per Kilogram per K --> 1248 Joule per Kilogram per K (Check conversion here)
Temperature at Compressor Exit: 420 Kelvin --> 420 Kelvin No Conversion Required
Temperature at Compressor Inlet: 298.15 Kelvin --> 298.15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_c = (1/η_m)*C_p*(T₂-T₁) --> (1/0.99)*1248*(420-298.15)

Evaluating ... ...

W_c = 153604.848484849

STEP 3: Convert Result to Output's Unit

153604.848484849 Joule -->153.604848484849 Kilojoule (Check conversion here)

FINAL ANSWER

153.604848484849 ≈ 153.6048 Kilojoule <-- Compressor Work

(Calculation completed in 00.020 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Compressor Calculators

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Isentropic Efficiency of Compression Machine

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Work Required to Drive Compressor Including Mechanical Losses Formula

LaTeX Go

Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
W_c = (1/η_m)*C_p*(T₂-T₁)

What is work done?

Work done is a process, where energy given as input to the system is utilized to perform some useful work.

How to Calculate Work Required to Drive Compressor Including Mechanical Losses?

Work Required to Drive Compressor Including Mechanical Losses calculator uses Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet) to calculate the Compressor Work, Work Required to Drive Compressor Including Mechanical Losses is a measure of the energy needed to drive a compressor, taking into account the mechanical efficiency, specific heat capacity, exit temperature, and entry temperature, providing a comprehensive assessment of the compressor's performance. Compressor Work is denoted by W_c symbol.

How to calculate Work Required to Drive Compressor Including Mechanical Losses using this online calculator? To use this online calculator for Work Required to Drive Compressor Including Mechanical Losses, enter Mechanical Efficiency (η_m), Specific Heat Capacity at Constant Pressure (C_p), Temperature at Compressor Exit (T₂) & Temperature at Compressor Inlet (T₁) and hit the calculate button. Here is how the Work Required to Drive Compressor Including Mechanical Losses calculation can be explained with given input values -> 0.153605 = (1/0.99)*1248*(420-298.15).

FAQ

What is Work Required to Drive Compressor Including Mechanical Losses?

Work Required to Drive Compressor Including Mechanical Losses is a measure of the energy needed to drive a compressor, taking into account the mechanical efficiency, specific heat capacity, exit temperature, and entry temperature, providing a comprehensive assessment of the compressor's performance and is represented as W_c = (1/η_m)*C_p*(T₂-T₁) or Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it, Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, Temperature at Compressor Exit is the temperature of the gases exiting the compressor & Temperature at Compressor Inlet is the temperature of the gases entering the compressor.

How to calculate Work Required to Drive Compressor Including Mechanical Losses?

Work Required to Drive Compressor Including Mechanical Losses is a measure of the energy needed to drive a compressor, taking into account the mechanical efficiency, specific heat capacity, exit temperature, and entry temperature, providing a comprehensive assessment of the compressor's performance is calculated using Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). To calculate Work Required to Drive Compressor Including Mechanical Losses, you need Mechanical Efficiency (η_m), Specific Heat Capacity at Constant Pressure (C_p), Temperature at Compressor Exit (T₂) & Temperature at Compressor Inlet (T₁). With our tool, you need to enter the respective value for Mechanical Efficiency, Specific Heat Capacity at Constant Pressure, Temperature at Compressor Exit & Temperature at Compressor Inlet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Compressor Work?

In this formula, Compressor Work uses Mechanical Efficiency, Specific Heat Capacity at Constant Pressure, Temperature at Compressor Exit & Temperature at Compressor Inlet. We can use 2 other way(s) to calculate the same, which is/are as follows -

Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)

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