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Isothermal Work Done by Gas Formula

GoIsothermal Compression of Ideal Gas Formula

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Isothermal Work is the Work done in the Isothermal process. In an isothermal process, the temperature remains constant. Check FAQs

W Iso T = N moles \cdot [R] \cdot T \cdot 2.303 \cdot \log 10 (\frac{V 2}{V 1})

W_{Iso T} - Isothermal Work?N_moles - Number of Moles?T - Temperature?V₂ - Final Volume of Gas?V₁ - Initial Volume of Gas?[R] - Universal gas constant?

Isothermal Work Done by Gas Example

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Here is how the Isothermal Work Done by Gas equation looks like with Values.

Here is how the Isothermal Work Done by Gas equation looks like with Units.

Here is how the Isothermal Work Done by Gas equation looks like.

6547.6944 = 4 \cdot 8.3145 \cdot 288.16 \cdot 2.303 \cdot \log 10 (\frac{99}{50})

6547.6944J = 4 \cdot 8.3145 \cdot 288.16K \cdot 2.303 \cdot \log 10 (\frac{99m³}{50m³})

6547.6944 = 4 \cdot 8.3145 \cdot 288.16 \cdot 2.303 \cdot \log 10 (\frac{99}{50})

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Isothermal Work Done by Gas Solution

Follow our step by step solution on how to calculate Isothermal Work Done by Gas?

FIRST Step Consider the formula

W Iso T = N moles \cdot [R] \cdot T \cdot 2.303 \cdot \log 10 (\frac{V 2}{V 1})

Next Step Substitute values of Variables

∴

W Iso T = 4 \cdot [R] \cdot 288.16K \cdot 2.303 \cdot \log 10 (\frac{99m³}{50m³})

Next Step Substitute values of Constants

∴

W Iso T = 4 \cdot 8.3145 \cdot 288.16K \cdot 2.303 \cdot \log 10 (\frac{99m³}{50m³})

Next Step Prepare to Evaluate

∴

W Iso T = 4 \cdot 8.3145 \cdot 288.16 \cdot 2.303 \cdot \log 10 (\frac{99}{50})

Next Step Evaluate

∴

W Iso T = 6547.69438489809J

LAST Step Rounding Answer

∴

W Iso T = 6547.6944J

Isothermal Work Done by Gas Formula Elements

Variables

Constants

Functions

Isothermal Work

Isothermal Work is the Work done in the Isothermal process. In an isothermal process, the temperature remains constant.

Symbol: W_{Iso T}

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Isothermal Work

Number of Moles

Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.

Symbol: N_moles

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Moles

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Final Volume of Gas

Final Volume of Gas is defined as the volume of gas at the end of the process.

Symbol: V₂

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Final Volume of Gas

Initial Volume of Gas

Initial Volume of Gas is defined as the volume of gas at the beginning of the process.

Symbol: V₁

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Initial Volume of Gas

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

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Isothermal Work

Go Isothermal Compression of Ideal Gas

W Iso T = N moles \cdot [R] \cdot T g \cdot 2.303 \cdot \log 10 (\frac{V f}{V i})

Other formulas in Closed System Work category

Go Degree of Freedom

F = C - p + 2

Go Number of Components

C = F + p - 2

Go Number of Phases

p = C - F + 2

Go Total Number of Variables in System

T v = p \cdot (C - 1) + 2

How to Evaluate Isothermal Work Done by Gas?

Isothermal Work Done by Gas evaluator uses Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas) to evaluate the Isothermal Work, Isothermal Work Done by Gas is defined as the work done at a constant temperature. The internal energy of the closed undergoing isothermal process is constant. Isothermal Work is denoted by W_{Iso T} symbol.

How to evaluate Isothermal Work Done by Gas using this online evaluator? To use this online evaluator for Isothermal Work Done by Gas, enter Number of Moles (N_moles), Temperature (T), Final Volume of Gas (V₂) & Initial Volume of Gas (V₁) and hit the calculate button.

FAQs on Isothermal Work Done by Gas

What is the formula to find Isothermal Work Done by Gas?

The formula of Isothermal Work Done by Gas is expressed as Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas). Here is an example- 6547.694 = 4*[R]*288.16*2.303*log10(99/50).

How to calculate Isothermal Work Done by Gas?

With Number of Moles (N_moles), Temperature (T), Final Volume of Gas (V₂) & Initial Volume of Gas (V₁) we can find Isothermal Work Done by Gas using the formula - Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas). This formula also uses Universal gas constant and Common Logarithm Function function(s).

What are the other ways to Calculate Isothermal Work?

Here are the different ways to Calculate Isothermal Work-

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

Can the Isothermal Work Done by Gas be negative?

Yes, the Isothermal Work Done by Gas, measured in Energy can be negative.

Which unit is used to measure Isothermal Work Done by Gas?

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

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Isothermal Work Done by Gas Formula

​GoIsothermal Compression of Ideal Gas Formula

Isothermal Work Done by Gas Example

Isothermal Work Done by Gas Solution

Isothermal Work Done by Gas Formula Elements

Other Formulas to find Isothermal Work

Other formulas in Closed System Work category

How to Evaluate Isothermal Work Done by Gas?

FAQs on Isothermal Work Done by Gas

Variable Name

GoIsothermal Compression of Ideal Gas Formula