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Isothermal Work using Temperature Formula

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Isothermal work given temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant. Check FAQs
Wb=[R]⋅T⋅ln(PiPf)
Wb - Isothermal work given temperature?T - Temperature?Pi - Initial Pressure of System?Pf - Final Pressure of System?[R] - Universal gas constant?

Isothermal Work using Temperature Example

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With units
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Here is how the Isothermal Work using Temperature equation looks like with Values.

Here is how the Isothermal Work using Temperature equation looks like with Units.

Here is how the Isothermal Work using Temperature equation looks like.

3019.8047Edit=8.3145⋅288.16Edit⋅ln(65Edit18.43Edit)
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Isothermal Work using Temperature Solution

Follow our step by step solution on how to calculate Isothermal Work using Temperature?

FIRST Step Consider the formula
Wb=[R]⋅T⋅ln(PiPf)
Next Step Substitute values of Variables
∴ Wb=[R]⋅288.16K⋅ln(65Pa18.43Pa)
Next Step Substitute values of Constants
∴ Wb=8.3145⋅288.16K⋅ln(65Pa18.43Pa)
Next Step Prepare to Evaluate
∴ Wb=8.3145⋅288.16⋅ln(6518.43)
Next Step Evaluate
∴Wb=3019.8047136958J
LAST Step Rounding Answer
∴Wb=3019.8047J

Isothermal Work using Temperature Formula Elements

Variables
Constants
Functions
Isothermal work given temperature
Isothermal work given temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant.
Symbol: Wb
Measurement: EnergyUnit: J
Note: Value can be positive or negative.
Formulas to find Isothermal work given temperatureOpen Variable
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 TemperatureOpen Variable
Initial Pressure of System
Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Symbol: Pi
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Formulas to find Initial Pressure of SystemOpen Variable
Final Pressure of System
Final Pressure of System is the total final pressure exerted by the molecules inside the system.
Symbol: Pf
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Formulas to find Final Pressure of SystemOpen Variable
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
ln
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 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
Tv=p ⋅(C-1)+2

How to Evaluate Isothermal Work using Temperature?

Isothermal Work using Temperature evaluator uses Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System) to evaluate the Isothermal work given temperature, Isothermal Work using Temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant. Isothermal work given temperature is denoted by Wb symbol.

How to evaluate Isothermal Work using Temperature using this online evaluator? To use this online evaluator for Isothermal Work using Temperature, enter Temperature (T), Initial Pressure of System (Pi) & Final Pressure of System (Pf) and hit the calculate button.

FAQs on Isothermal Work using Temperature

What is the formula to find Isothermal Work using Temperature?
The formula of Isothermal Work using Temperature is expressed as Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System). Here is an example- 3019.805 = [R]*288.16*ln(65/18.43).
How to calculate Isothermal Work using Temperature?
With Temperature (T), Initial Pressure of System (Pi) & Final Pressure of System (Pf) we can find Isothermal Work using Temperature using the formula - Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System). This formula also uses Universal gas constant and Natural Logarithm Function function(s).
Can the Isothermal Work using Temperature be negative?
Yes, the Isothermal Work using Temperature, measured in Energy can be negative.
Which unit is used to measure Isothermal Work using Temperature?
Isothermal Work using Temperature is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Isothermal Work using Temperature can be measured.
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