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Work Done in Isothermal Process (using volume) Formula

GoWork done in Isothermal Process (using Pressure) Formula

GoWork Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Formula

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The Work done in Thermodynamic Process is the energy transferred when an ideal gas expands or contracts under pressure during a thermodynamic process. Check FAQs

W = n \cdot [R] \cdot T g \cdot \ln (\frac{V f}{V i})

W - Work done in Thermodynamic Process?n - Number of Moles of Ideal Gas?T_g - Temperature of Gas?V_f - Final Volume of System?V_i - Initial Volume of System?[R] - Universal gas constant?

Work Done in Isothermal Process (using volume) Example

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Here is how the Work Done in Isothermal Process (using volume) equation looks like with Values.

Here is how the Work Done in Isothermal Process (using volume) equation looks like with Units.

Here is how the Work Done in Isothermal Process (using volume) equation looks like.

2961.6942 = 3 \cdot 8.3145 \cdot 300 \cdot \ln (\frac{13.37}{9})

2961.6942J = 3mol \cdot 8.3145 \cdot 300K \cdot \ln (\frac{13.37m³}{9m³})

2961.6942 = 3 \cdot 8.3145 \cdot 300 \cdot \ln (\frac{13.37}{9})

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Work Done in Isothermal Process (using volume) Solution

Follow our step by step solution on how to calculate Work Done in Isothermal Process (using volume)?

FIRST Step Consider the formula

W = n \cdot [R] \cdot T g \cdot \ln (\frac{V f}{V i})

Next Step Substitute values of Variables

∴

W = 3mol \cdot [R] \cdot 300K \cdot \ln (\frac{13.37m³}{9m³})

Next Step Substitute values of Constants

∴

W = 3mol \cdot 8.3145 \cdot 300K \cdot \ln (\frac{13.37m³}{9m³})

Next Step Prepare to Evaluate

∴

W = 3 \cdot 8.3145 \cdot 300 \cdot \ln (\frac{13.37}{9})

Next Step Evaluate

∴

W = 2961.6941671536J

LAST Step Rounding Answer

∴

W = 2961.6942J

Work Done in Isothermal Process (using volume) Formula Elements

Variables

Constants

Functions

Work done in Thermodynamic Process

The Work done in Thermodynamic Process is the energy transferred when an ideal gas expands or contracts under pressure during a thermodynamic process.

Symbol: W

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Work done in Thermodynamic Process

Number of Moles of Ideal Gas

The Number of Moles of Ideal Gas is the quantity of gas particles in a system, essential for understanding gas behavior under various thermodynamic conditions.

Symbol: n

Measurement: Amount of SubstanceUnit: mol

Note: Value should be greater than 0.

Formulas to find Number of Moles of Ideal Gas

Temperature of Gas

The Temperature of Gas is a measure of the average kinetic energy of gas molecules, influencing their behavior and interactions in thermodynamic processes.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Final Volume of System

The Final Volume of System is the total space occupied by an ideal gas in a thermodynamic process, reflecting the system's conditions and behavior.

Symbol: V_f

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Final Volume of System

Initial Volume of System

The Initial Volume of System is the volume occupied by a gas before any changes in pressure or temperature occur, crucial for understanding gas behavior in thermodynamic processes.

Symbol: V_i

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Initial Volume of System

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

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 to find Work done in Thermodynamic Process

Go Work done in Isothermal Process (using Pressure)

W = [R] \cdot T g \cdot \ln (\frac{P i}{P f})

Go Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume

W = \frac{P i \cdot V i - P f \cdot V f}{(\frac{C p molar}{C v molar}) - 1}

Other formulas in Ideal Gas category

Go Heat Transfer in Isochoric Process

Q = n \cdot C v molar \cdot ΔT

Go Change in Internal Energy of System

U = n \cdot C v molar \cdot ΔT

Go Enthalpy of System

H s = n \cdot C p molar \cdot ΔT

Go Specific Heat Capacity at Constant Pressure

C p molar = [R] + C v

How to Evaluate Work Done in Isothermal Process (using volume)?

Work Done in Isothermal Process (using volume) evaluator uses Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System) to evaluate the Work done in Thermodynamic Process, Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally. Work done in Thermodynamic Process is denoted by W symbol.

How to evaluate Work Done in Isothermal Process (using volume) using this online evaluator? To use this online evaluator for Work Done in Isothermal Process (using volume), enter Number of Moles of Ideal Gas (n), Temperature of Gas (T_g), Final Volume of System (V_f) & Initial Volume of System (V_i) and hit the calculate button.

FAQs on Work Done in Isothermal Process (using volume)

What is the formula to find Work Done in Isothermal Process (using volume)?

The formula of Work Done in Isothermal Process (using volume) is expressed as Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System). Here is an example- 2961.694 = 3*[R]*300*ln(13.37/9).

How to calculate Work Done in Isothermal Process (using volume)?

With Number of Moles of Ideal Gas (n), Temperature of Gas (T_g), Final Volume of System (V_f) & Initial Volume of System (V_i) we can find Work Done in Isothermal Process (using volume) using the formula - Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System). This formula also uses Universal gas constant and Natural Logarithm (ln) function(s).

What are the other ways to Calculate Work done in Thermodynamic Process?

Here are the different ways to Calculate Work done in Thermodynamic Process-

Work done in Thermodynamic Process=[R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)
Work done in Thermodynamic Process=(Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Can the Work Done in Isothermal Process (using volume) be negative?

No, the Work Done in Isothermal Process (using volume), measured in Energy cannot be negative.

Which unit is used to measure Work Done in Isothermal Process (using volume)?

Work Done in Isothermal Process (using volume) 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 Isothermal Process (using volume) can be measured.

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Work Done in Isothermal Process (using volume) Formula

​GoWork done in Isothermal Process (using Pressure) Formula

​GoWork Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Formula

Work Done in Isothermal Process (using volume) Example

Work Done in Isothermal Process (using volume) Solution

Work Done in Isothermal Process (using volume) Formula Elements

Other Formulas to find Work done in Thermodynamic Process

Other formulas in Ideal Gas category

How to Evaluate Work Done in Isothermal Process (using volume)?

FAQs on Work Done in Isothermal Process (using volume)

Variable Name

GoWork done in Isothermal Process (using Pressure) Formula

GoWork Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Formula