Turbine Efficiency using Actual and Isentropic Change in Enthalpy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Turbine Efficiency = Change in Enthalpy in a Thermodynamic Process/Change in Enthalpy (Isentropic)
ηT = ΔH/ΔHS
This formula uses 3 Variables
Variables Used
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 in a Thermodynamic Process - (Measured in Joule per Kilogram) - Change in Enthalpy in a Thermodynamic Process is the thermodynamic quantity equivalent to the total difference between the heat content of a system.
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
Change in Enthalpy in a Thermodynamic Process: 190 Joule per Kilogram --> 190 Joule per Kilogram 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
ηT = ΔH/ΔHS --> 190/310
Evaluating ... ...
ηT = 0.612903225806452
STEP 3: Convert Result to Output's Unit
0.612903225806452 --> No Conversion Required
FINAL ANSWER
0.612903225806452 0.612903 <-- Turbine Efficiency
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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College Of Engineering (COEP), Pune
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16 Laws of Thermodynamics their Applications and other Basic Concepts Calculators

Thermodynamic Efficiency using Work Produced
Go Thermodynamic Efficiency using Work Produced = Actual Work Done Condition Work is Produced/Ideal Work for Produced
Ideal Work using Thermodynamic Efficiency and Condition is Work is Required
Go Ideal Work Condition Work is Required = Thermodynamic Efficiency*Actual Work Done in Thermodynamic Process
Ideal Work using Thermodynamic Efficiency and Condition is Work is Produced
Go Ideal Work Condition Work is Produced = Actual Work Done in Thermodynamic Process/Thermodynamic Efficiency
Internal Energy using First Law of Thermodynamics
Go Change in Internal Energy = Heat Transferred in Thermodynamic Process+Work done in Thermodynamic Process
Work using First Law of Thermodynamics
Go Work done in Thermodynamic Process = Change in Internal Energy-Heat Transferred in Thermodynamic Process
Heat using First Law of Thermodynamics
Go Heat Transferred in Thermodynamic Process = Change in Internal Energy-Work done in Thermodynamic Process
Thermodynamic Efficiency using Work Required
Go Thermodynamic Efficiency using Work Required = Ideal Work/Actual Work Done in Thermodynamic Process
Turbine Efficiency using Actual and Isentropic Change in Enthalpy
Go Turbine Efficiency = Change in Enthalpy in a Thermodynamic Process/Change in Enthalpy (Isentropic)
Actual Work Produced by Utilizing Thermodynamic Efficiency and Conditions
Go Actual Work Done Condition Work is Produced = Thermodynamic Efficiency*Ideal Work for Produced
Actual Work using Thermodynamic Efficiency and Condition is Work is Required
Go Actual Work Done Condition Work is Required = Ideal Work/Thermodynamic Efficiency
Lost Work using Ideal and Actual Work
Go Lost Work = Actual Work Done in Thermodynamic Process-Ideal Work
Ideal Work using Lost and Actual Work
Go Ideal Work = Actual Work Done in Thermodynamic Process-Lost Work
Actual Work using Ideal and Lost Work
Go Actual Work Done in Thermodynamic Process = Ideal Work+Lost Work
Rate of Ideal Work using Rates of Lost and Actual Work
Go Rate of Ideal Work = Rate of Actual Work-Rate of Lost Work
Rate of Actual Work using Rates of Ideal and Lost Work
Go Rate of Actual Work = Rate of Ideal Work+Rate of Lost Work
Rate of Lost Work using Rates of Ideal and Actual Work
Go Rate of Lost Work = Rate of Actual Work-Rate of Ideal Work

Turbine Efficiency using Actual and Isentropic Change in Enthalpy Formula

Turbine Efficiency = Change in Enthalpy in a Thermodynamic Process/Change in Enthalpy (Isentropic)
ηT = ΔH/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.

What is First Law of Thermodynamics?

In a closed system undergoing a thermodynamic cycle, cyclic integral of heat and cyclic integral of work are proportional to each other when expressed in their own units and are equal to each other when expressed in the consistent(same) units.

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

Turbine Efficiency using Actual and Isentropic Change in Enthalpy calculator uses Turbine Efficiency = Change in Enthalpy in a Thermodynamic Process/Change in Enthalpy (Isentropic) to calculate the Turbine Efficiency, The Turbine Efficiency using Actual and Isentropic Change in Enthalpy formula is defined as the ratio of actual change in enthalpy done by the turbine to the change in enthalpy done by the turbine under reversible and adiabatic conditions (which is isentropic condition). Turbine Efficiency is denoted by ηT symbol.

How to calculate Turbine Efficiency using Actual and Isentropic Change in Enthalpy using this online calculator? To use this online calculator for Turbine Efficiency using Actual and Isentropic Change in Enthalpy, enter Change in Enthalpy in a Thermodynamic Process (ΔH) & Change in Enthalpy (Isentropic) (ΔHS) and hit the calculate button. Here is how the Turbine Efficiency using Actual and Isentropic Change in Enthalpy calculation can be explained with given input values -> 0.612903 = 190/310.

FAQ

What is Turbine Efficiency using Actual and Isentropic Change in Enthalpy?
The Turbine Efficiency using Actual and Isentropic Change in Enthalpy formula is defined as the ratio of actual change in enthalpy done by the turbine to the change in enthalpy done by the turbine under reversible and adiabatic conditions (which is isentropic condition) and is represented as ηT = ΔH/ΔHS or Turbine Efficiency = Change in Enthalpy in a Thermodynamic Process/Change in Enthalpy (Isentropic). Change in Enthalpy in a Thermodynamic Process is the thermodynamic quantity equivalent to the total difference between the heat content of a system & 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 Turbine Efficiency using Actual and Isentropic Change in Enthalpy?
The Turbine Efficiency using Actual and Isentropic Change in Enthalpy formula is defined as the ratio of actual change in enthalpy done by the turbine to the change in enthalpy done by the turbine under reversible and adiabatic conditions (which is isentropic condition) is calculated using Turbine Efficiency = Change in Enthalpy in a Thermodynamic Process/Change in Enthalpy (Isentropic). To calculate Turbine Efficiency using Actual and Isentropic Change in Enthalpy, you need Change in Enthalpy in a Thermodynamic Process (ΔH) & Change in Enthalpy (Isentropic) (ΔHS). With our tool, you need to enter the respective value for Change in Enthalpy in a Thermodynamic Process & 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.
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