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Work Required to Drive Compressor Including Mechanical Losses Formula

GoCompressor work Formula

GoCompressor Work in Gas Turbine given Temperature Formula

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Compressor Work is the work done by the compressor on the fluid. Check FAQs

W c = (\frac{1}{η m}) \cdot C p \cdot (T 2 - T 1)

W_c - Compressor Work?η_m - Mechanical Efficiency?C_p - Specific Heat Capacity at Constant Pressure?T₂ - Temperature at Compressor Exit?T₁ - Temperature at Compressor Inlet?

Work Required to Drive Compressor Including Mechanical Losses Example

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Here is how the Work Required to Drive Compressor Including Mechanical Losses equation looks like with Values.

Here is how the Work Required to Drive Compressor Including Mechanical Losses equation looks like with Units.

Here is how the Work Required to Drive Compressor Including Mechanical Losses equation looks like.

153.6048 = (\frac{1}{0.99}) \cdot 1.248 \cdot (420 - 298.15)

153.6048KJ = (\frac{1}{0.99}) \cdot 1.248kJ/kg*K \cdot (420K - 298.15K)

153.6048 = (\frac{1}{0.99}) \cdot 1.248 \cdot (420 - 298.15)

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Work Required to Drive Compressor Including Mechanical Losses Solution

Follow our step by step solution on how to calculate Work Required to Drive Compressor Including Mechanical Losses?

FIRST Step Consider the formula

W c = (\frac{1}{η m}) \cdot C p \cdot (T 2 - T 1)

Next Step Substitute values of Variables

∴

W c = (\frac{1}{0.99}) \cdot 1.248kJ/kg*K \cdot (420K - 298.15K)

Next Step Convert Units

∴

W c = (\frac{1}{0.99}) \cdot 1248J/(kg*K) \cdot (420K - 298.15K)

Next Step Prepare to Evaluate

∴

W c = (\frac{1}{0.99}) \cdot 1248 \cdot (420 - 298.15)

Next Step Evaluate

∴

W c = 153604.848484849J

Next Step Convert to Output's Unit

∴

W c = 153.604848484849KJ

LAST Step Rounding Answer

∴

W c = 153.6048KJ

Work Required to Drive Compressor Including Mechanical Losses Formula Elements

Variables

Compressor Work

Compressor Work is the work done by the compressor on the fluid.

Symbol: W_c

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Compressor Work

Mechanical Efficiency

Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.

Symbol: η_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mechanical Efficiency

Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity at Constant Pressure

Temperature at Compressor Exit

Temperature at Compressor Exit is the temperature of the gases exiting the compressor.

Symbol: T₂

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Compressor Exit

Temperature at Compressor Inlet

Temperature at Compressor Inlet is the temperature of the gases entering the compressor.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Compressor Inlet

Other Formulas to find Compressor Work

Go Compressor work

W c = h 2 - h 1

Go Compressor Work in Gas Turbine given Temperature

W c = C p \cdot (T 2 - T 1)

Other formulas in Compressor category

Go Degree of Reaction for Compressor

R = \frac{ΔE rotor increase}{ΔE stage increase}

Go Isentropic Efficiency of Compression Machine

η C = \frac{W s,in}{W in}

Go Mean Diameter of Impeller

D m = \sqrt{\frac{{D t}^{2} + {D h}^{2}}{2}}

Go Tip Velocity of Impeller given Mean Diameter

U t = π \cdot {(2 \cdot {D m}^{2} - {D h}^{2})}^{0.5} \cdot \frac{N}{60}

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

Work Required to Drive Compressor Including Mechanical Losses evaluator uses Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet) to evaluate 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 evaluate Work Required to Drive Compressor Including Mechanical Losses using this online evaluator? To use this online evaluator 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.

FAQs on Work Required to Drive Compressor Including Mechanical Losses

What is the formula to find Work Required to Drive Compressor Including Mechanical Losses?

The formula of Work Required to Drive Compressor Including Mechanical Losses is expressed as Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). Here is an example- 0.153605 = (1/0.99)*1248*(420-298.15).

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

With Mechanical Efficiency (η_m), Specific Heat Capacity at Constant Pressure (C_p), Temperature at Compressor Exit (T₂) & Temperature at Compressor Inlet (T₁) we can find Work Required to Drive Compressor Including Mechanical Losses using the formula - Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet).

What are the other ways to Calculate Compressor Work?

Here are the different ways to Calculate Compressor Work-

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)

Can the Work Required to Drive Compressor Including Mechanical Losses be negative?

Yes, the Work Required to Drive Compressor Including Mechanical Losses, measured in Energy can be negative.

Which unit is used to measure Work Required to Drive Compressor Including Mechanical Losses?

Work Required to Drive Compressor Including Mechanical Losses is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Work Required to Drive Compressor Including Mechanical Losses can be measured.

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Work Required to Drive Compressor Including Mechanical Losses Formula

​GoCompressor work Formula

​GoCompressor Work in Gas Turbine given Temperature Formula

Work Required to Drive Compressor Including Mechanical Losses Example

Work Required to Drive Compressor Including Mechanical Losses Solution

Work Required to Drive Compressor Including Mechanical Losses Formula Elements

Other Formulas to find Compressor Work

Other formulas in Compressor category

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

FAQs on Work Required to Drive Compressor Including Mechanical Losses

Variable Name

GoCompressor work Formula

GoCompressor Work in Gas Turbine given Temperature Formula