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Isothermal Compression Formula

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Work Done in Isothermal Compression 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_com = - N KE \cdot 8.314 \cdot T low \cdot \ln (\frac{Vi}{V f})

W_{iso_com} - Work Done in Isothermal Compression?N_KE - Number of Moles given KE?T_low - Low Temperature?Vi - Volume Initially?V_f - Volume finally?

Isothermal Compression Example

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

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

Here is how the Isothermal Compression equation looks like.

7.6575 = - 0.04 \cdot 8.314 \cdot 10 \cdot \ln (\frac{10}{100})

7.6575J = - 0.04 \cdot 8.314 \cdot 10K \cdot \ln (\frac{10m³}{100m³})

7.6575 = - 0.04 \cdot 8.314 \cdot 10 \cdot \ln (\frac{10}{100})

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Isothermal Compression Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

W iso_com = 7.657476985261J

LAST Step Rounding Answer

∴

W iso_com = 7.6575J

Isothermal Compression Formula Elements

Variables

Functions

Work Done in Isothermal Compression

Work Done in Isothermal Compression 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_com}

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Work Done in Isothermal Compression

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

Low Temperature

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

Symbol: T_low

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Low Temperature

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

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

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 Compression?

Isothermal Compression evaluator uses Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally) to evaluate the Work Done in Isothermal Compression, The Isothermal Compression 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 Compression is denoted by W_{iso_com} symbol.

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

FAQs on Isothermal Compression

What is the formula to find Isothermal Compression?

The formula of Isothermal Compression is expressed as Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally). Here is an example- 7.657477 = -0.04*8.314*10*ln(10/100).

How to calculate Isothermal Compression?

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

Can the Isothermal Compression be negative?

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

Which unit is used to measure Isothermal Compression?

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

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Isothermal Compression Formula

Isothermal Compression Example

Isothermal Compression Solution

Isothermal Compression Formula Elements

Other formulas in First Order Thermodynamics category

How to Evaluate Isothermal Compression?

FAQs on Isothermal Compression

Variable Name