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Isothermal Expansion Formula

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Work Done in Isothermal Expansion is defined as a force acting on something else and causes displacement then the work is said to be done by the system. Check FAQs

W iso_Exp = - N KE \cdot 8.314 \cdot T high \cdot \ln (\frac{V f}{Vi})

W_{iso_Exp} - Work Done in Isothermal Expansion?N_KE - Number of Moles given KE?T_high - High Temperature?V_f - Volume finally?Vi - Volume Initially?

Isothermal Expansion Example

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Here is how the Isothermal Expansion equation looks like with Values.

Here is how the Isothermal Expansion equation looks like with Units.

Here is how the Isothermal Expansion equation looks like.

-76.5748 = - 0.04 \cdot 8.314 \cdot 100 \cdot \ln (\frac{100}{10})

-76.5748J = - 0.04 \cdot 8.314 \cdot 100K \cdot \ln (\frac{100m³}{10m³})

-76.5748 = - 0.04 \cdot 8.314 \cdot 100 \cdot \ln (\frac{100}{10})

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First Order Thermodynamics » fx Isothermal Expansion

Isothermal Expansion Solution

Follow our step by step solution on how to calculate Isothermal Expansion?

FIRST Step Consider the formula

W iso_Exp = - N KE \cdot 8.314 \cdot T high \cdot \ln (\frac{V f}{Vi})

Next Step Substitute values of Variables

∴

W iso_Exp = - 0.04 \cdot 8.314 \cdot 100K \cdot \ln (\frac{100m³}{10m³})

Next Step Prepare to Evaluate

∴

W iso_Exp = - 0.04 \cdot 8.314 \cdot 100 \cdot \ln (\frac{100}{10})

Next Step Evaluate

∴

W iso_Exp = -76.57476985261J

LAST Step Rounding Answer

∴

W iso_Exp = -76.5748J

Isothermal Expansion Formula Elements

Variables

Functions

Work Done in Isothermal Expansion

Work Done in Isothermal Expansion is defined as a force acting on something else and causes displacement then the work is said to be done by the system.

Symbol: W_{iso_Exp}

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Work Done in Isothermal Expansion

Number of Moles given KE

Number of Moles given KE is the total number of particles present in the specific container.

Symbol: N_KE

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Moles given KE

High Temperature

High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.

Symbol: T_high

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find High Temperature

Volume finally

Volume finally is the final volume of distribution and it is related to the amount in the system after the chemical is distributed or eliminated.

Symbol: V_f

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume finally

Volume Initially

Volume Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated.

Symbol: Vi

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume Initially

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in First Order Thermodynamics category

Go Internal Energy of System

U WD = Q d - (W IE)

Go Work Done given Internal Energy

W IE = Q d - U WD

Go Heat Energy given Internal Energy

Q d = U WD + (W IE)

Go Work Done in Irreversible Process

W irr = - P ext \cdot dV

How to Evaluate Isothermal Expansion?

Isothermal Expansion evaluator uses Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially) to evaluate the Work Done in Isothermal Expansion, The Isothermal Expansion formula is defined as is defined as a force acting on something else and causes displacement then the work is said to be done by the system. Work Done in Isothermal Expansion is denoted by W_{iso_Exp} symbol.

How to evaluate Isothermal Expansion using this online evaluator? To use this online evaluator for Isothermal Expansion, enter Number of Moles given KE (N_KE), High Temperature (T_high), Volume finally (V_f) & Volume Initially (Vi) and hit the calculate button.

FAQs on Isothermal Expansion

What is the formula to find Isothermal Expansion?

The formula of Isothermal Expansion is expressed as Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially). Here is an example- -76.57477 = -0.04*8.314*100*ln(100/10).

How to calculate Isothermal Expansion?

With Number of Moles given KE (N_KE), High Temperature (T_high), Volume finally (V_f) & Volume Initially (Vi) we can find Isothermal Expansion using the formula - Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially). This formula also uses Natural Logarithm Function function(s).

Can the Isothermal Expansion be negative?

Yes, the Isothermal Expansion, measured in Energy can be negative.

Which unit is used to measure Isothermal Expansion?

Isothermal Expansion is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Isothermal Expansion can be measured.

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Isothermal Expansion Formula

Isothermal Expansion Example

Isothermal Expansion Solution

Isothermal Expansion Formula Elements

Other formulas in First Order Thermodynamics category

How to Evaluate Isothermal Expansion?

FAQs on Isothermal Expansion

Variable Name