Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)
ΔH = ηT*ΔHS
This formula uses 3 Variables
Variables Used
Change in Enthalpy - (Measured in Joule per Kilogram) - Change in enthalpy is the thermodynamic quantity equivalent to the total difference between the heat content of a system.
Turbine Efficiency - Turbine Efficiency is the ratio of actual work output of the turbine to the net input energy supplied in the form of fuel.
Change in Enthalpy (Isentropic) - (Measured in Joule per Kilogram) - Change in Enthalpy (Isentropic) is the thermodynamic quantity equivalent to the total difference between the heat content of a system under reversible and adiabatic conditions.
STEP 1: Convert Input(s) to Base Unit
Turbine Efficiency: 0.75 --> No Conversion Required
Change in Enthalpy (Isentropic): 310 Joule per Kilogram --> 310 Joule per Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔH = ηT*ΔHS --> 0.75*310
Evaluating ... ...
ΔH = 232.5
STEP 3: Convert Result to Output's Unit
232.5 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
232.5 Joule per Kilogram <-- Change in Enthalpy
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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23 Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma
Go Shaft Work (Isentropic) = [R]*(Temperature of Surface 1/((Heat Capacity Ratio-1)/Heat Capacity Ratio))*((Pressure 2/Pressure 1)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)
Volume Expansivity for Pumps using Entropy
Go Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure)
Enthalpy for Pumps using Volume Expansivity for Pump
Go Change in Enthalpy = (Specific Heat Capacity at Constant Pressure per K*Overall Difference in Temperature)+(Specific Volume*(1-(Volume Expansivity*Temperature of Liquid))*Difference in Pressure)
Volume Expansivity for Pumps using Enthalpy
Go Volume Expansivity = ((((Specific Heat Capacity at Constant Pressure*Overall Difference in Temperature)-Change in Enthalpy)/(Volume*Difference in Pressure))+1)/Temperature of Liquid
Entropy for Pumps using Volume Expansivity for Pump
Go Change in Entropy = (Specific Heat Capacity*ln(Temperature of Surface 2/Temperature of Surface 1))-(Volume Expansivity*Volume*Difference in Pressure)
Isentropic Work done rate for Adiabatic Compression Process using Cp
Go Shaft Work (Isentropic) = Specific Heat Capacity*Temperature of Surface 1*((Pressure 2/Pressure 1)^([R]/Specific Heat Capacity)-1)
Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency
Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency
Shaft Power
Go Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel
Isentropic Change in Enthalpy using Compressor Efficiency and Actual Change in Enthalpy
Go Change in Enthalpy (Isentropic) = Compressor Efficiency*Change in Enthalpy
Compressor Efficiency using Actual and Isentropic Change in Enthalpy
Go Compressor Efficiency = Change in Enthalpy (Isentropic)/Change in Enthalpy
Actual Enthalpy Change using Isentropic Compression Efficieny
Go Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency
Isentropic Change in Enthalpy using Turbine Efficiency and Actual Change in Enthalpy
Go Change in Enthalpy (Isentropic) = Change in Enthalpy/Turbine Efficiency
Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy
Go Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)
Actual Work done using Compressor Efficiency and Isentropic Shaft Work
Go Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency
Isentropic Work Done using Compressor Efficiency and Actual Shaft Work
Go Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work
Compressor Efficiency using Actual and Isentropic Shaft Work
Go Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work
Actual Work Done using Turbine Efficiency and Isentropic Shaft Work
Go Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)
Isentropic Work Done using Turbine Efficiency and Actual Shaft Work
Go Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency
Turbine Efficiency using Actual and Isentropic Shaft Work
Go Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)
Nozzle Efficiency
Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy
Mass Flow Rate of Stream in Turbine (Expanders)
Go Mass Flow Rate = Work Done Rate/Change in Enthalpy
Change in Enthalpy in Turbine (Expanders)
Go Change in Enthalpy = Work Done Rate/Mass Flow Rate
Work Done Rate by Turbine (Expanders)
Go Work Done Rate = Change in Enthalpy*Mass Flow Rate

Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy Formula

Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)
ΔH = ηT*ΔHS

Working of turbine (expanders)

The expansion of a gas in a nozzle to produce a high-velocity stream is a process that converts internal energy into kinetic energy, which in turn is converted into shaft work when the stream impinges on blades attached to a rotating shaft. Thus a turbine (or expander) consists of alternate sets of nozzles and rotating blades through which vapor or gas flows in a steady-state expansion process. The overall result is the conversion of the internal energy of a high-pressure stream into shaft work. When steam provides the motive force as in most power plants, the device is called a turbine; when it is a high-pressure gas, such as ammonia or ethylene in a chemical plant, the device is usually called an expander.

How to Calculate Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy?

Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy calculator uses Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic) to calculate the Change in Enthalpy, The Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy formula is defined as the product of turbine efficiency and the change in enthalpy done by the turbine under reversible and adiabatic conditions (which is isentropic condition). Change in Enthalpy is denoted by ΔH symbol.

How to calculate Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy using this online calculator? To use this online calculator for Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy, enter Turbine Efficiency T) & Change in Enthalpy (Isentropic) (ΔHS) and hit the calculate button. Here is how the Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy calculation can be explained with given input values -> 232.5 = 0.75*310.

FAQ

What is Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy?
The Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy formula is defined as the product of turbine efficiency and the change in enthalpy done by the turbine under reversible and adiabatic conditions (which is isentropic condition) and is represented as ΔH = ηT*ΔHS or Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic). Turbine Efficiency is the ratio of actual work output of the turbine to the net input energy supplied in the form of fuel & Change in Enthalpy (Isentropic) is the thermodynamic quantity equivalent to the total difference between the heat content of a system under reversible and adiabatic conditions.
How to calculate Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy?
The Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy formula is defined as the product of turbine efficiency and the change in enthalpy done by the turbine under reversible and adiabatic conditions (which is isentropic condition) is calculated using Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic). To calculate Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy, you need Turbine Efficiency T) & Change in Enthalpy (Isentropic) (ΔHS). With our tool, you need to enter the respective value for Turbine Efficiency & Change in Enthalpy (Isentropic) 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 Change in Enthalpy?
In this formula, Change in Enthalpy uses Turbine Efficiency & Change in Enthalpy (Isentropic). We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Change in Enthalpy = (Specific Heat Capacity at Constant Pressure per K*Overall Difference in Temperature)+(Specific Volume*(1-(Volume Expansivity*Temperature of Liquid))*Difference in Pressure)
  • Change in Enthalpy = Work Done Rate/Mass Flow Rate
  • Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency
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