Isentropic Work Done Rate for Adiabatic Compression Process using Gamma Calculator

✖Temperature of Surface 1 is the temperature of the 1st surface.ⓘ Temperature of Surface 1 [T₁]			+10% -10%
✖The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Heat Capacity Ratio [γ]			+10% -10%
✖Pressure 2 is the pressure at give point 2.ⓘ Pressure 2 [P₂]			+10% -10%
✖Pressure 1 is the pressure at give point 1.ⓘ Pressure 1 [P₁]			+10% -10%

✖Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.ⓘ Isentropic Work Done Rate for Adiabatic Compression Process using Gamma [W_sisentropic]

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Isentropic Work Done Rate for Adiabatic Compression Process using Gamma Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_sisentropic = [R]*(T₁/((γ-1)/γ))*((P₂/P₁)^((γ-1)/γ)-1)
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Shaft Work (Isentropic) - (Measured in Joule) - Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.
Temperature of Surface 1 - (Measured in Kelvin) - Temperature of Surface 1 is the temperature of the 1st surface.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Pressure 2 - (Measured in Pascal) - Pressure 2 is the pressure at give point 2.
Pressure 1 - (Measured in Pascal) - Pressure 1 is the pressure at give point 1.

STEP 1: Convert Input(s) to Base Unit

Temperature of Surface 1: 101 Kelvin --> 101 Kelvin No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Pressure 2: 5200 Pascal --> 5200 Pascal No Conversion Required
Pressure 1: 2500 Pascal --> 2500 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_sisentropic = [R]*(T₁/((γ-1)/γ))*((P₂/P₁)^((γ-1)/γ)-1) --> [R]*(101/((1.4-1)/1.4))*((5200/2500)^((1.4-1)/1.4)-1)

Evaluating ... ...

W_sisentropic = 684.091976952007

STEP 3: Convert Result to Output's Unit

684.091976952007 Joule --> No Conversion Required

FINAL ANSWER

684.091976952007 ≈ 684.092 Joule <-- Shaft Work (Isentropic)

(Calculation completed in 00.004 seconds)

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< Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma

LaTeX 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)

Isentropic Work done rate for Adiabatic Compression Process using Cp

LaTeX 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

LaTeX Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency

Nozzle Efficiency

LaTeX Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma Formula

LaTeX Go

What is Shaft work (Isentropic)?

Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically (which is isentropic,i.e., ΔS = 0). The shaft work (isentropic) is the maximum that can be obtained from an adiabatic turbine with given inlet conditions and given discharge pressure.

How to Calculate Isentropic Work Done Rate for Adiabatic Compression Process using Gamma?

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma calculator uses 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) to calculate the Shaft Work (Isentropic), The Isentropic Work Done Rate for Adiabatic Compression Process using Gamma formula is defined as the function of temperature 1, pressure 1 and 2, and adiabatic index. Shaft Work (Isentropic) is denoted by W_sisentropic symbol.

How to calculate Isentropic Work Done Rate for Adiabatic Compression Process using Gamma using this online calculator? To use this online calculator for Isentropic Work Done Rate for Adiabatic Compression Process using Gamma, enter Temperature of Surface 1 (T₁), Heat Capacity Ratio (γ), Pressure 2 (P₂) & Pressure 1 (P₁) and hit the calculate button. Here is how the Isentropic Work Done Rate for Adiabatic Compression Process using Gamma calculation can be explained with given input values -> 684.092 = [R]*(101/((1.4-1)/1.4))*((5200/2500)^((1.4-1)/1.4)-1).

FAQ

What is Isentropic Work Done Rate for Adiabatic Compression Process using Gamma?

The Isentropic Work Done Rate for Adiabatic Compression Process using Gamma formula is defined as the function of temperature 1, pressure 1 and 2, and adiabatic index and is represented as W_sisentropic = [R]*(T₁/((γ-1)/γ))*((P₂/P₁)^((γ-1)/γ)-1) or 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). Temperature of Surface 1 is the temperature of the 1st surface, The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume, Pressure 2 is the pressure at give point 2 & Pressure 1 is the pressure at give point 1.

How to calculate Isentropic Work Done Rate for Adiabatic Compression Process using Gamma?

The Isentropic Work Done Rate for Adiabatic Compression Process using Gamma formula is defined as the function of temperature 1, pressure 1 and 2, and adiabatic index is calculated using 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). To calculate Isentropic Work Done Rate for Adiabatic Compression Process using Gamma, you need Temperature of Surface 1 (T₁), Heat Capacity Ratio (γ), Pressure 2 (P₂) & Pressure 1 (P₁). With our tool, you need to enter the respective value for Temperature of Surface 1, Heat Capacity Ratio, Pressure 2 & Pressure 1 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 Shaft Work (Isentropic)?

In this formula, Shaft Work (Isentropic) uses Temperature of Surface 1, Heat Capacity Ratio, Pressure 2 & Pressure 1. We can use 3 other way(s) to calculate the same, which is/are as follows -

Shaft Work (Isentropic) = Specific Heat Capacity*Temperature of Surface 1*((Pressure 2/Pressure 1)^([R]/Specific Heat Capacity)-1)
Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency
Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work

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