Work Done in Adiabatic Process given Adiabatic Index Calculator

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✖Mass of Gas is the mass on or by which the work is done.ⓘ Mass of Gas [m_gas]			+10% -10%
✖Initial Temperature is the measure of hotness or coldness of a system at its initial state.ⓘ Initial Temperature [T_i]			+10% -10%
✖Final Temperature is the measure of hotness or coldness of a system at its final state.ⓘ Final Temperature [T_f]			+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%

✖Work is done when a force that is applied to an object moves that object.ⓘ Work Done in Adiabatic Process given Adiabatic Index [W]

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Formula

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Work Done in Adiabatic Process given Adiabatic Index

Formula

`"W" = ("m"_{"gas"}*"[R]"*("T"_{"i"}-"T"_{"f"}))/("γ"-1)`

Example

`"-1662.892524J"=("2kg"*"[R]"*("305K"-"345K"))/("1.4"-1)`

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Work Done in Adiabatic Process given Adiabatic Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1)
W = (m_gas*[R]*(T_i-T_f))/(γ-1)
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Work - (Measured in Joule) - Work is done when a force that is applied to an object moves that object.
Mass of Gas - (Measured in Kilogram) - Mass of Gas is the mass on or by which the work is done.
Initial Temperature - (Measured in Kelvin) - Initial Temperature is the measure of hotness or coldness of a system at its initial state.
Final Temperature - (Measured in Kelvin) - Final Temperature is the measure of hotness or coldness of a system at its final state.
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.

STEP 1: Convert Input(s) to Base Unit

Mass of Gas: 2 Kilogram --> 2 Kilogram No Conversion Required
Initial Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Final Temperature: 345 Kelvin --> 345 Kelvin No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (m_gas*[R]*(T_i-T_f))/(γ-1) --> (2*[R]*(305-345))/(1.4-1)

Evaluating ... ...

W = -1662.89252363065

STEP 3: Convert Result to Output's Unit

-1662.89252363065 Joule --> No Conversion Required

FINAL ANSWER

-1662.89252363065 ≈ -1662.892524 Joule <-- Work

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Basics » Work Done in Adiabatic Process given Adiabatic Index

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Created by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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Indian Institute of Technology (IIT), Mumbai

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< 11 Basics Calculators

Entropy Change in Isobaric Processin Terms of Volume

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Volume of System/Initial Volume of System)

Entropy Change for Isochoric Process given Pressures

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Pressure of System/Initial Pressure of System)

Entropy Change in Isobaric Process given Temperature

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Temperature/Initial Temperature)

Entropy Change for Isochoric Process given Temperature

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Temperature/Initial Temperature)

Work Done in Adiabatic Process given Adiabatic Index

Go Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1)

Entropy Change for Isothermal Process given Volumes

Go Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)

Heat Transfer at Constant Pressure

Go Heat Transfer = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*(Final Temperature-Initial Temperature)

Isobaric Work for given Mass and Temperatures

Go Isobaric Work = Amount of Gaseous Substance in Moles*[R]*(Final Temperature-Initial Temperature)

Isobaric Work for given Pressure and Volumes

Go Isobaric Work = Absolute Pressure*(Final Volume of System-Initial Volume of System)

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Mass Flow Rate in Steady Flow

Go Mass Flow Rate = Cross Sectional Area*Fluid Velocity/Specific Volume

< 9 Closed System Work Calculators

Isothermal Work using Pressure Ratio

Go Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System)

Isothermal Work Done by Gas

Go Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)

Polytropic Work

Go Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index)

Isothermal Work using Volume Ratio

Go Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas)

Isothermal Work using Temperature

Go Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System)

Work Done in Adiabatic Process given Adiabatic Index

Go Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1)

Isobaric Work for given Mass and Temperatures

Go Isobaric Work = Amount of Gaseous Substance in Moles*[R]*(Final Temperature-Initial Temperature)

Isobaric Work for given Pressure and Volumes

Go Isobaric Work = Absolute Pressure*(Final Volume of System-Initial Volume of System)

Work Done in Isobaric Process

Go Isobaric Work = Pressure Object*(Final Volume of Gas-Initial Volume of Gas)

Work Done in Adiabatic Process given Adiabatic Index Formula

Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1)
W = (m_gas*[R]*(T_i-T_f))/(γ-1)

What is an Adiabatic Process?

An adiabatic process is one in which no heat is gained or lost by the system. When an ideal gas is compressed adiabatically (Q=0), work is done on it and its temperature increases; in an adiabatic expansion, the gas does work and its temperature drops.

How to Calculate Work Done in Adiabatic Process given Adiabatic Index?

Work Done in Adiabatic Process given Adiabatic Index calculator uses Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1) to calculate the Work, Work done in Adiabatic Process given Adiabatic Index is defined as the work done due to all the changes in internal energy. Work is denoted by W symbol.

How to calculate Work Done in Adiabatic Process given Adiabatic Index using this online calculator? To use this online calculator for Work Done in Adiabatic Process given Adiabatic Index, enter Mass of Gas (m_gas), Initial Temperature (T_i), Final Temperature (T_f) & Heat Capacity Ratio (γ) and hit the calculate button. Here is how the Work Done in Adiabatic Process given Adiabatic Index calculation can be explained with given input values -> -1662.892524 = (2*[R]*(305-345))/(1.4-1).

FAQ

What is Work Done in Adiabatic Process given Adiabatic Index?

Work done in Adiabatic Process given Adiabatic Index is defined as the work done due to all the changes in internal energy and is represented as W = (m_gas*[R]*(T_i-T_f))/(γ-1) or Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1). Mass of Gas is the mass on or by which the work is done, Initial Temperature is the measure of hotness or coldness of a system at its initial state, Final Temperature is the measure of hotness or coldness of a system at its final state & 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.

How to calculate Work Done in Adiabatic Process given Adiabatic Index?

Work done in Adiabatic Process given Adiabatic Index is defined as the work done due to all the changes in internal energy is calculated using Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1). To calculate Work Done in Adiabatic Process given Adiabatic Index, you need Mass of Gas (m_gas), Initial Temperature (T_i), Final Temperature (T_f) & Heat Capacity Ratio (γ). With our tool, you need to enter the respective value for Mass of Gas, Initial Temperature, Final Temperature & Heat Capacity Ratio 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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