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Work done in Isothermal Process (using Pressure) Formula

GoWork Done in Isothermal Process (using volume) 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 = [R] \cdot T g \cdot \ln (\frac{P i}{P f})

W - Work done in Thermodynamic Process?T_g - Temperature of Gas?P_i - Initial Pressure of System?P_f - Final Pressure of System?[R] - Universal gas constant?

Work done in Isothermal Process (using Pressure) Example

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

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

Here is how the Work done in Isothermal Process (using Pressure) equation looks like.

1059.8026 = 8.3145 \cdot 300 \cdot \ln (\frac{65}{42.5})

1059.8026J = 8.3145 \cdot 300K \cdot \ln (\frac{65Pa}{42.5Pa})

1059.8026 = 8.3145 \cdot 300 \cdot \ln (\frac{65}{42.5})

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Work done in Isothermal Process (using Pressure) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = [R] \cdot 300K \cdot \ln (\frac{65Pa}{42.5Pa})

Next Step Substitute values of Constants

∴

W = 8.3145 \cdot 300K \cdot \ln (\frac{65Pa}{42.5Pa})

Next Step Prepare to Evaluate

∴

W = 8.3145 \cdot 300 \cdot \ln (\frac{65}{42.5})

Next Step Evaluate

∴

W = 1059.80262999173J

LAST Step Rounding Answer

∴

W = 1059.8026J

Work done in Isothermal Process (using Pressure) 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

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

Initial Pressure of System

The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process.

Symbol: P_i

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Initial Pressure of System

Final Pressure of System

The Final Pressure of System is the pressure exerted by a gas in a closed system at equilibrium, crucial for understanding thermodynamic processes and behaviors.

Symbol: P_f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Final Pressure 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 volume)

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

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 Pressure)?

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

How to evaluate Work done in Isothermal Process (using Pressure) using this online evaluator? To use this online evaluator for Work done in Isothermal Process (using Pressure), enter Temperature of Gas (T_g), Initial Pressure of System (P_i) & Final Pressure of System (P_f) and hit the calculate button.

FAQs on Work done in Isothermal Process (using Pressure)

What is the formula to find Work done in Isothermal Process (using Pressure)?

The formula of Work done in Isothermal Process (using Pressure) is expressed as Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System). Here is an example- 1030.629 = [R]*300*ln(65/42.5).

How to calculate Work done in Isothermal Process (using Pressure)?

With Temperature of Gas (T_g), Initial Pressure of System (P_i) & Final Pressure of System (P_f) we can find Work done in Isothermal Process (using Pressure) using the formula - Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure 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=Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume 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 Pressure) be negative?

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

Which unit is used to measure Work done in Isothermal Process (using Pressure)?

Work done in Isothermal Process (using Pressure) 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 Pressure) can be measured.

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Work done in Isothermal Process (using Pressure) Formula

​GoWork Done in Isothermal Process (using volume) Formula

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

Work done in Isothermal Process (using Pressure) Example

Work done in Isothermal Process (using Pressure) Solution

Work done in Isothermal Process (using Pressure) 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 Pressure)?

FAQs on Work done in Isothermal Process (using Pressure)

Variable Name

GoWork Done in Isothermal Process (using volume) Formula

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