Net work output in simple gas turbine cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor))
WNet = Cp*((T3-T4)-(T2-T1))
This formula uses 6 Variables
Variables Used
Net Work Output - (Measured in Joule) - Net Work Output is defined as the difference of work of turbine and work of compressor.
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 Inlet of Turbine - (Measured in Kelvin) - The Temperature at Inlet of Turbine is used to measure the amount of heat energy at the entry of the Turbine.
Temperature at Exit of Turbine - (Measured in Kelvin) - The Temperature at Exit of Turbine is used to measure the amount of heat energy at the exit of the Turbine.
Temperature at Exit of Compressor - (Measured in Kelvin) - The Temperature at Exit of Compressor is used to measure the amount of heat energy at the exit of the compressor.
Temperature at Inlet of Compressor - (Measured in Kelvin) - The Temperature at Inlet of Compressor is used to measure the amount of heat energy at the entry of the compressor.
STEP 1: Convert Input(s) to Base Unit
Specific Heat Capacity at Constant Pressure: 1.248 Kilojoule per Kilogram per K --> 1248 Joule per Kilogram per K (Check conversion ​here)
Temperature at Inlet of Turbine: 555 Kelvin --> 555 Kelvin No Conversion Required
Temperature at Exit of Turbine: 439 Kelvin --> 439 Kelvin No Conversion Required
Temperature at Exit of Compressor: 370 Kelvin --> 370 Kelvin No Conversion Required
Temperature at Inlet of Compressor: 300 Kelvin --> 300 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WNet = Cp*((T3-T4)-(T2-T1)) --> 1248*((555-439)-(370-300))
Evaluating ... ...
WNet = 57408
STEP 3: Convert Result to Output's Unit
57408 Joule -->57.408 Kilojoule (Check conversion ​here)
FINAL ANSWER
57.408 Kilojoule <-- Net Work Output
(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Net work output in simple gas turbine cycle
​ LaTeX ​ Go Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor))
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Net work output in simple gas turbine cycle Formula

​LaTeX ​Go
Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor))
WNet = Cp*((T3-T4)-(T2-T1))

What is net work output?

Net work output is defined as the difference of work produced by the system and energy supplied to the system.

How to Calculate Net work output in simple gas turbine cycle?

Net work output in simple gas turbine cycle calculator uses Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor)) to calculate the Net Work Output, Net work output in simple gas turbine cycle is a measure of the net energy produced by a simple gas turbine cycle, which is a type of heat engine that converts the energy released from burning fuel into mechanical energy. It is an important parameter in evaluating the performance of a gas turbine cycle. Net Work Output is denoted by WNet symbol.

How to calculate Net work output in simple gas turbine cycle using this online calculator? To use this online calculator for Net work output in simple gas turbine cycle, enter Specific Heat Capacity at Constant Pressure (Cp), Temperature at Inlet of Turbine (T3), Temperature at Exit of Turbine (T4), Temperature at Exit of Compressor (T2) & Temperature at Inlet of Compressor (T1) and hit the calculate button. Here is how the Net work output in simple gas turbine cycle calculation can be explained with given input values -> 0.047424 = 1248*((555-439)-(370-300)).

FAQ

What is Net work output in simple gas turbine cycle?
Net work output in simple gas turbine cycle is a measure of the net energy produced by a simple gas turbine cycle, which is a type of heat engine that converts the energy released from burning fuel into mechanical energy. It is an important parameter in evaluating the performance of a gas turbine cycle and is represented as WNet = Cp*((T3-T4)-(T2-T1)) or Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor)). 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, The Temperature at Inlet of Turbine is used to measure the amount of heat energy at the entry of the Turbine, The Temperature at Exit of Turbine is used to measure the amount of heat energy at the exit of the Turbine, The Temperature at Exit of Compressor is used to measure the amount of heat energy at the exit of the compressor & The Temperature at Inlet of Compressor is used to measure the amount of heat energy at the entry of the compressor.
How to calculate Net work output in simple gas turbine cycle?
Net work output in simple gas turbine cycle is a measure of the net energy produced by a simple gas turbine cycle, which is a type of heat engine that converts the energy released from burning fuel into mechanical energy. It is an important parameter in evaluating the performance of a gas turbine cycle is calculated using Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor)). To calculate Net work output in simple gas turbine cycle, you need Specific Heat Capacity at Constant Pressure (Cp), Temperature at Inlet of Turbine (T3), Temperature at Exit of Turbine (T4), Temperature at Exit of Compressor (T2) & Temperature at Inlet of Compressor (T1). With our tool, you need to enter the respective value for Specific Heat Capacity at Constant Pressure, Temperature at Inlet of Turbine, Temperature at Exit of Turbine, Temperature at Exit of Compressor & Temperature at Inlet of Compressor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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