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Isothermal Work using Volume Ratio Formula

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Isothermal Work given Volume 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

W T(Volume Ratio) = P i \cdot V 1 \cdot \ln (\frac{V 2}{V 1})

W_{T(Volume Ratio)} - Isothermal Work given Volume Ratio?P_i - Initial Pressure of System?V₁ - Initial Volume of Gas?V₂ - Final Volume of Gas?

Isothermal Work using Volume Ratio Example

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Here is how the Isothermal Work using Volume Ratio equation looks like with Values.

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

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

2220.0647 = 65 \cdot 50 \cdot \ln (\frac{99}{50})

2220.0647J = 65Pa \cdot 50m³ \cdot \ln (\frac{99m³}{50m³})

2220.0647 = 65 \cdot 50 \cdot \ln (\frac{99}{50})

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Isothermal Work using Volume Ratio Solution

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

FIRST Step Consider the formula

W T(Volume Ratio) = P i \cdot V 1 \cdot \ln (\frac{V 2}{V 1})

Next Step Substitute values of Variables

∴

W T(Volume Ratio) = 65Pa \cdot 50m³ \cdot \ln (\frac{99m³}{50m³})

Next Step Prepare to Evaluate

∴

W T(Volume Ratio) = 65 \cdot 50 \cdot \ln (\frac{99}{50})

Next Step Evaluate

∴

W T(Volume Ratio) = 2220.06474529594J

LAST Step Rounding Answer

∴

W T(Volume Ratio) = 2220.0647J

Isothermal Work using Volume Ratio Formula Elements

Variables

Functions

Isothermal Work given Volume Ratio

Isothermal Work given Volume 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: W_{T(Volume Ratio)}

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Isothermal Work given Volume Ratio

Initial Pressure of System

Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

Symbol: P_i

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Initial Pressure of System

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

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

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

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

How to Evaluate Isothermal Work using Volume Ratio?

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

How to evaluate Isothermal Work using Volume Ratio using this online evaluator? To use this online evaluator for Isothermal Work using Volume Ratio, enter Initial Pressure of System (P_i), Initial Volume of Gas (V₁) & Final Volume of Gas (V₂) and hit the calculate button.

FAQs on Isothermal Work using Volume Ratio

What is the formula to find Isothermal Work using Volume Ratio?

The formula of Isothermal Work using Volume Ratio is expressed as Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas). Here is an example- 2220.065 = 65*50*ln(99/50).

How to calculate Isothermal Work using Volume Ratio?

With Initial Pressure of System (P_i), Initial Volume of Gas (V₁) & Final Volume of Gas (V₂) we can find Isothermal Work using Volume Ratio using the formula - Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas). This formula also uses Natural Logarithm (ln) function(s).

Can the Isothermal Work using Volume Ratio be negative?

Yes, the Isothermal Work using Volume Ratio, measured in Energy can be negative.

Which unit is used to measure Isothermal Work using Volume Ratio?

Isothermal Work using Volume 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 Volume Ratio can be measured.

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Isothermal Work using Volume Ratio Formula

Isothermal Work using Volume Ratio Example

Isothermal Work using Volume Ratio Solution

Isothermal Work using Volume Ratio Formula Elements

Other formulas in Closed System Work category

How to Evaluate Isothermal Work using Volume Ratio?

FAQs on Isothermal Work using Volume Ratio

Variable Name