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Compressor Work in Gas Turbine given Temperature Formula

GoWork Required to Drive Compressor Including Mechanical Losses Formula

GoCompressor work Formula

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

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

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

Compressor Work in Gas Turbine given Temperature Example

With values

With units

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Here is how the Compressor Work in Gas Turbine given Temperature equation looks like with Values.

Here is how the Compressor Work in Gas Turbine given Temperature equation looks like with Units.

Here is how the Compressor Work in Gas Turbine given Temperature equation looks like.

152.0688 = 1.248 \cdot (420 - 298.15)

152.0688KJ = 1.248kJ/kg*K \cdot (420K - 298.15K)

152.0688 = 1.248 \cdot (420 - 298.15)

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Compressor Work in Gas Turbine given Temperature Solution

Follow our step by step solution on how to calculate Compressor Work in Gas Turbine given Temperature?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W c = 1.248kJ/kg*K \cdot (420K - 298.15K)

Next Step Convert Units

∴

W c = 1248J/(kg*K) \cdot (420K - 298.15K)

Next Step Prepare to Evaluate

∴

W c = 1248 \cdot (420 - 298.15)

Next Step Evaluate

∴

W c = 152068.8J

LAST Step Convert to Output's Unit

∴

W c = 152.0688KJ

Compressor Work in Gas Turbine given Temperature 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

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 Work Required to Drive Compressor Including Mechanical Losses

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

Go Compressor work

W c = h 2 - h 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 Compressor Work in Gas Turbine given Temperature?

Compressor Work in Gas Turbine given Temperature evaluator uses Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet) to evaluate the Compressor Work, The Compressor Work in Gas Turbine given Temperature formula is defined as the product of specific heat at constant pressure and difference of inlet and exit temperatures of compressor. Compressor Work is denoted by W_c symbol.

How to evaluate Compressor Work in Gas Turbine given Temperature using this online evaluator? To use this online evaluator for Compressor Work in Gas Turbine given Temperature, enter 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 Compressor Work in Gas Turbine given Temperature

What is the formula to find Compressor Work in Gas Turbine given Temperature?

The formula of Compressor Work in Gas Turbine given Temperature is expressed as Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). Here is an example- 0.152069 = 1248*(420-298.15).

How to calculate Compressor Work in Gas Turbine given Temperature?

With Specific Heat Capacity at Constant Pressure (C_p), Temperature at Compressor Exit (T₂) & Temperature at Compressor Inlet (T₁) we can find Compressor Work in Gas Turbine given Temperature using the formula - Compressor Work = 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=(1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Compressor Work=Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet

Can the Compressor Work in Gas Turbine given Temperature be negative?

Yes, the Compressor Work in Gas Turbine given Temperature, measured in Energy can be negative.

Which unit is used to measure Compressor Work in Gas Turbine given Temperature?

Compressor Work in Gas Turbine given Temperature is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Compressor Work in Gas Turbine given Temperature can be measured.

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