Change in Enthalpy in Turbine (Expanders) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Enthalpy = Work Done Rate/Mass Flow Rate
ΔH = Wrate/m
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.
Work Done Rate - (Measured in Joule per Second) - Work Done Rate performed by a system is energy transferred per second by the system to its surroundings.
Mass Flow Rate - (Measured in Kilogram per Second) - Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.
STEP 1: Convert Input(s) to Base Unit
Work Done Rate: 250 Joule per Second --> 250 Joule per Second No Conversion Required
Mass Flow Rate: 5 Kilogram per Second --> 5 Kilogram per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔH = Wrate/m --> 250/5
Evaluating ... ...
ΔH = 50
STEP 3: Convert Result to Output's Unit
50 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
50 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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National Institute of Information Technology (NIIT), Neemrana
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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

Change in Enthalpy in Turbine (Expanders) Formula

Change in Enthalpy = Work Done Rate/Mass Flow Rate
ΔH = Wrate/m

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 Change in Enthalpy in Turbine (Expanders)?

Change in Enthalpy in Turbine (Expanders) calculator uses Change in Enthalpy = Work Done Rate/Mass Flow Rate to calculate the Change in Enthalpy, The Change in Enthalpy in Turbine (Expanders) formula is defined as the ratio of the work done rate by a turbine (expanders) to the mass flow rate in the turbine (expanders). Change in Enthalpy is denoted by ΔH symbol.

How to calculate Change in Enthalpy in Turbine (Expanders) using this online calculator? To use this online calculator for Change in Enthalpy in Turbine (Expanders), enter Work Done Rate (Wrate) & Mass Flow Rate (m) and hit the calculate button. Here is how the Change in Enthalpy in Turbine (Expanders) calculation can be explained with given input values -> 50 = 250/5.

FAQ

What is Change in Enthalpy in Turbine (Expanders)?
The Change in Enthalpy in Turbine (Expanders) formula is defined as the ratio of the work done rate by a turbine (expanders) to the mass flow rate in the turbine (expanders) and is represented as ΔH = Wrate/m or Change in Enthalpy = Work Done Rate/Mass Flow Rate. Work Done Rate performed by a system is energy transferred per second by the system to its surroundings & Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.
How to calculate Change in Enthalpy in Turbine (Expanders)?
The Change in Enthalpy in Turbine (Expanders) formula is defined as the ratio of the work done rate by a turbine (expanders) to the mass flow rate in the turbine (expanders) is calculated using Change in Enthalpy = Work Done Rate/Mass Flow Rate. To calculate Change in Enthalpy in Turbine (Expanders), you need Work Done Rate (Wrate) & Mass Flow Rate (m). With our tool, you need to enter the respective value for Work Done Rate & Mass Flow Rate 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 Work Done Rate & Mass Flow Rate. 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 = Change in Enthalpy (Isentropic)/Compressor Efficiency
  • Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)
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