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Work Done in Adiabatic Process given Adiabatic Index Formula

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Work is done when a force that is applied to an object moves that object. Check FAQs

W = \frac{m gas \cdot [R] \cdot (T i - T f)}{γ - 1}

W - Work?m_gas - Mass of Gas?T_i - Initial Temperature?T_f - Final Temperature?γ - Heat Capacity Ratio?[R] - Universal gas constant?

Work Done in Adiabatic Process given Adiabatic Index Example

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Here is how the Work Done in Adiabatic Process given Adiabatic Index equation looks like with Values.

Here is how the Work Done in Adiabatic Process given Adiabatic Index equation looks like with Units.

Here is how the Work Done in Adiabatic Process given Adiabatic Index equation looks like.

-1662.8925 = \frac{2 \cdot 8.3145 \cdot (305 - 345)}{1.4 - 1}

-1662.8925J = \frac{2kg \cdot 8.3145 \cdot (305K - 345K)}{1.4 - 1}

-1662.8925 = \frac{2 \cdot 8.3145 \cdot (305 - 345)}{1.4 - 1}

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Work Done in Adiabatic Process given Adiabatic Index Solution

Follow our step by step solution on how to calculate Work Done in Adiabatic Process given Adiabatic Index?

FIRST Step Consider the formula

W = \frac{m gas \cdot [R] \cdot (T i - T f)}{γ - 1}

Next Step Substitute values of Variables

∴

W = \frac{2kg \cdot [R] \cdot (305K - 345K)}{1.4 - 1}

Next Step Substitute values of Constants

∴

W = \frac{2kg \cdot 8.3145 \cdot (305K - 345K)}{1.4 - 1}

Next Step Prepare to Evaluate

∴

W = \frac{2 \cdot 8.3145 \cdot (305 - 345)}{1.4 - 1}

Next Step Evaluate

∴

W = -1662.89252363065J

LAST Step Rounding Answer

∴

W = -1662.8925J

Work Done in Adiabatic Process given Adiabatic Index Formula Elements

Variables

Constants

Work

Work is done when a force that is applied to an object moves that object.

Symbol: W

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Work

Mass of Gas

Mass of Gas is the mass on or by which the work is done.

Symbol: m_gas

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Gas

Initial Temperature

Initial Temperature is the measure of hotness or coldness of a system at its initial state.

Symbol: T_i

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Initial Temperature

Final Temperature

Final Temperature is the measure of hotness or coldness of a system at its final state.

Symbol: T_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Final Temperature

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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other formulas in Closed System Work category

Go Specific Heat Capacity at Constant Pressure using Adiabatic Index

C p = \frac{γ \cdot [R]}{γ - 1}

Go Entropy Change in Isobaric Process given Temperature

ΔS CP = m gas \cdot C pm \cdot \ln (\frac{T f}{T i})

Go Entropy Change in Isobaric Processin Terms of Volume

ΔS CP = m gas \cdot C pm \cdot \ln (\frac{V f}{V i})

Go Entropy Change for Isochoric Process given Pressures

ΔS CV = m gas \cdot C v \cdot \ln (\frac{P f}{P i})

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

Work Done in Adiabatic Process given Adiabatic Index evaluator uses Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1) to evaluate the Work, Work Done in Adiabatic Process given Adiabatic Index formula is defined as the energy transferred to or from a thermodynamic system during an adiabatic process, which occurs without the transfer of heat or mass of the system, and is a measure of the total energy change of the system. Work is denoted by W symbol.

How to evaluate Work Done in Adiabatic Process given Adiabatic Index using this online evaluator? To use this online evaluator 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.

FAQs on Work Done in Adiabatic Process given Adiabatic Index

What is the formula to find Work Done in Adiabatic Process given Adiabatic Index?

The formula of Work Done in Adiabatic Process given Adiabatic Index is expressed as Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1). Here is an example- -1662.892524 = (2*[R]*(305-345))/(1.4-1).

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

With Mass of Gas (m_gas), Initial Temperature (T_i), Final Temperature (T_f) & Heat Capacity Ratio (γ) we can find Work Done in Adiabatic Process given Adiabatic Index using the formula - Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1). This formula also uses Universal gas constant .

Can the Work Done in Adiabatic Process given Adiabatic Index be negative?

Yes, the Work Done in Adiabatic Process given Adiabatic Index, measured in Energy can be negative.

Which unit is used to measure Work Done in Adiabatic Process given Adiabatic Index?

Work Done in Adiabatic Process given Adiabatic Index is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Work Done in Adiabatic Process given Adiabatic Index can be measured.

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Work Done in Adiabatic Process given Adiabatic Index Formula

Work Done in Adiabatic Process given Adiabatic Index Example

Work Done in Adiabatic Process given Adiabatic Index Solution

Work Done in Adiabatic Process given Adiabatic Index Formula Elements

Other formulas in Closed System Work category

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

FAQs on Work Done in Adiabatic Process given Adiabatic Index

Variable Name