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Isothermal Work using Pressure Ratio Formula

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Isothermal Work given Pressure Ratio 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
WT(Pressure Ratio)=Pi⋅V1⋅ln(PiPf)
WT(Pressure Ratio) - Isothermal Work given Pressure Ratio?Pi - Initial Pressure of System?V1 - Initial Volume of Gas?Pf - Final Pressure of System?

Isothermal Work using Pressure Ratio Example

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

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

Here is how the Isothermal Work using Pressure Ratio equation looks like.

4096.3244Edit=65Edit⋅50Edit⋅ln(65Edit18.43Edit)
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Isothermal Work using Pressure Ratio Solution

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

FIRST Step Consider the formula
WT(Pressure Ratio)=Pi⋅V1⋅ln(PiPf)
Next Step Substitute values of Variables
∴ WT(Pressure Ratio)=65Pa⋅50m³⋅ln(65Pa18.43Pa)
Next Step Prepare to Evaluate
∴ WT(Pressure Ratio)=65⋅50⋅ln(6518.43)
Next Step Evaluate
∴WT(Pressure Ratio)=4096.32436919519J
LAST Step Rounding Answer
∴WT(Pressure Ratio)=4096.3244J

Isothermal Work using Pressure Ratio Formula Elements

Variables
Functions
Isothermal Work given Pressure Ratio
Isothermal Work given Pressure Ratio 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: WT(Pressure Ratio)
Measurement: EnergyUnit: J
Note: Value can be positive or negative.
Formulas to find Isothermal Work given Pressure RatioOpen 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
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 GasOpen 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
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 Pressure Ratio?

Isothermal Work using Pressure Ratio evaluator uses Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System) to evaluate the Isothermal Work given Pressure Ratio, Isothermal Work using Pressure Ratio 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 Pressure Ratio is denoted by WT(Pressure Ratio) symbol.

How to evaluate Isothermal Work using Pressure Ratio using this online evaluator? To use this online evaluator for Isothermal Work using Pressure Ratio, enter Initial Pressure of System (Pi), Initial Volume of Gas (V1) & Final Pressure of System (Pf) and hit the calculate button.

FAQs on Isothermal Work using Pressure Ratio

What is the formula to find Isothermal Work using Pressure Ratio?
The formula of Isothermal Work using Pressure Ratio is expressed as Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System). Here is an example- 4096.324 = 65*50*ln(65/18.43).
How to calculate Isothermal Work using Pressure Ratio?
With Initial Pressure of System (Pi), Initial Volume of Gas (V1) & Final Pressure of System (Pf) we can find Isothermal Work using Pressure Ratio using the formula - Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System). This formula also uses Natural Logarithm (ln) function(s).
Can the Isothermal Work using Pressure Ratio be negative?
Yes, the Isothermal Work using Pressure Ratio, measured in Energy can be negative.
Which unit is used to measure Isothermal Work using Pressure Ratio?
Isothermal Work using Pressure Ratio 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 Pressure Ratio can be measured.
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