Isothermal Work using Volume Ratio Calculator

✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [P_i]			+10% -10%
✖Initial Volume of Gas is defined as the volume of gas at the beginning of the process.ⓘ Initial Volume of Gas [V₁]			+10% -10%
✖Final Volume of Gas is defined as the volume of gas at the end of the process.ⓘ Final Volume of Gas [V₂]			+10% -10%

✖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.ⓘ Isothermal Work using Volume Ratio [W_{T(Volume Ratio)}]

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Isothermal Work using Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas)
W_{T(Volume Ratio)} = P_i*V₁*ln(V₂/V₁)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Isothermal Work given Volume Ratio - (Measured in Joule) - 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.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Initial Volume of Gas - (Measured in Cubic Meter) - Initial Volume of Gas is defined as the volume of gas at the beginning of the process.
Final Volume of Gas - (Measured in Cubic Meter) - Final Volume of Gas is defined as the volume of gas at the end of the process.

STEP 1: Convert Input(s) to Base Unit

Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Initial Volume of Gas: 50 Cubic Meter --> 50 Cubic Meter No Conversion Required
Final Volume of Gas: 99 Cubic Meter --> 99 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_{T(Volume Ratio)} = P_i*V₁*ln(V₂/V₁) --> 65*50*ln(99/50)

Evaluating ... ...

W_{T(Volume Ratio)} = 2220.06474529594

STEP 3: Convert Result to Output's Unit

2220.06474529594 Joule --> No Conversion Required

FINAL ANSWER

2220.06474529594 ≈ 2220.065 Joule <-- Isothermal Work given Volume Ratio

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Kanpur

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< Closed System Work Calculators

Isothermal Work using Pressure Ratio

LaTeX Go Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System)

Isothermal Work Done by Gas

LaTeX Go Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)

Polytropic Work

LaTeX Go Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index)

Work Done in Isobaric Process

LaTeX Go Isobaric Work = Pressure Object*(Final Volume of Gas-Initial Volume of Gas)

< Basic Formulas of Thermodynamics Calculators

Total Number of Variables in System

LaTeX Go Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2

Number of Components

LaTeX Go Number of Components in System = Degree of Freedom+Number of Phases-2

Degree of Freedom

LaTeX Go Degree of Freedom = Number of Components in System-Number of Phases+2

Number of Phases

LaTeX Go Number of Phases = Number of Components in System-Degree of Freedom+2

Isothermal Work using Volume Ratio Formula

LaTeX Go

Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas)
W_{T(Volume Ratio)} = P_i*V₁*ln(V₂/V₁)

What is Isothermal Work?

Isothermal work 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. Given the value of pressure at point 1 and the respective volumes, the isothermal work can be calculated. Positive work adds energy to a system. Negative work removes or dissipates energy from the system.

How to Calculate Isothermal Work using Volume Ratio?

Isothermal Work using Volume Ratio calculator uses Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas) to calculate 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 calculate Isothermal Work using Volume Ratio using this online calculator? To use this online calculator 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. Here is how the Isothermal Work using Volume Ratio calculation can be explained with given input values -> 2220.065 = 65*50*ln(99/50).

FAQ

What is Isothermal Work using 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 and is represented as W_{T(Volume Ratio)} = P_i*V₁*ln(V₂/V₁) or Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas). Initial Pressure of System is the total initial pressure exerted by the molecules inside the system, Initial Volume of Gas is defined as the volume of gas at the beginning of the process & Final Volume of Gas is defined as the volume of gas at the end of the process.

How to calculate Isothermal Work using 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 is calculated using Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas). To calculate Isothermal Work using Volume Ratio, you need Initial Pressure of System (P_i), Initial Volume of Gas (V₁) & Final Volume of Gas (V₂). With our tool, you need to enter the respective value for Initial Pressure of System, Initial Volume of Gas & Final Volume of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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