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Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy. Check FAQs
WT=Cp⋅(T3-T4)
WT - Turbine Work?Cp - Specific heat at constant pressure?T3 - Turbine Inlet Temperature?T4 - Turbine Exit Temperature?

Turbine Work in Gas Turbine given Temperature Example

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

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

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

873.6Edit=1.248Edit⋅(1300Edit-600Edit)
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Turbine Work in Gas Turbine given Temperature Solution

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

FIRST Step Consider the formula
WT=Cp⋅(T3-T4)
Next Step Substitute values of Variables
∴ WT=1.248kJ/kg*K⋅(1300K-600K)
Next Step Convert Units
∴ WT=1248J/(kg*K)⋅(1300K-600K)
Next Step Prepare to Evaluate
∴ WT=1248⋅(1300-600)
Next Step Evaluate
∴WT=873600J
LAST Step Convert to Output's Unit
∴WT=873.6KJ

Turbine Work in Gas Turbine given Temperature Formula Elements

Variables
Turbine Work
Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy.
Symbol: WT
Measurement: EnergyUnit: KJ
Note: Value should be greater than 0.
Formulas to find Turbine WorkOpen Variable
Specific heat at constant pressure
Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant.
Symbol: Cp
Measurement: Specific Heat CapacityUnit: kJ/kg*K
Note: Value can be positive or negative.
Formulas to find Specific heat at constant pressureOpen Variable
Turbine Inlet Temperature
Turbine Inlet Temperature refers to the temperature of the fluid entering a turbine, such as the hot gases from combustion in a gas turbine engine.
Symbol: T3
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Formulas to find Turbine Inlet TemperatureOpen Variable
Turbine Exit Temperature
Turbine Exit Temperature is the flow temperature after expanding through the turbine.
Symbol: T4
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Formulas to find Turbine Exit TemperatureOpen Variable

Other Formulas to find Turbine Work

​Go Ideal Turbine Work given Pressure Ratio
WT=Cp⋅T3⋅(Prγ-1γ-1Prγ-1γ)
​Go Turbine Work given Enthalpy
WT=h3-h4

Other formulas in Turbine category

​Go Degree of Reaction for Turbine
R=ΔErotor dropΔEstage drop
​Go Efficiency of turbine in actual gas turbine cycle
ηT=T3-T4T3-T4,s
​Go Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy
ηT=h3-h4h3-h4s

How to Evaluate Turbine Work in Gas Turbine given Temperature?

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

How to evaluate Turbine Work in Gas Turbine given Temperature using this online evaluator? To use this online evaluator for Turbine Work in Gas Turbine given Temperature, enter Specific heat at constant pressure (Cp), Turbine Inlet Temperature (T3) & Turbine Exit Temperature (T4) and hit the calculate button.

FAQs on Turbine Work in Gas Turbine given Temperature

What is the formula to find Turbine Work in Gas Turbine given Temperature?
The formula of Turbine Work in Gas Turbine given Temperature is expressed as Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature). Here is an example- 0.8736 = 1248*(1300-600).
How to calculate Turbine Work in Gas Turbine given Temperature?
With Specific heat at constant pressure (Cp), Turbine Inlet Temperature (T3) & Turbine Exit Temperature (T4) we can find Turbine Work in Gas Turbine given Temperature using the formula - Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature).
What are the other ways to Calculate Turbine Work?
Here are the different ways to Calculate Turbine Work-
  • Turbine Work=Specific heat at constant pressure*Turbine Inlet Temperature*((Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)/(Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)))OpenImg
  • Turbine Work=Turbine Inlet Enthalpy-Turbine Exit EnthalpyOpenImg
Can the Turbine Work in Gas Turbine given Temperature be negative?
No, the Turbine Work in Gas Turbine given Temperature, measured in Energy cannot be negative.
Which unit is used to measure Turbine Work in Gas Turbine given Temperature?
Turbine 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 Turbine Work in Gas Turbine given Temperature can be measured.
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