Work Done in Isothermal Process (using volume) Calculator

✖Number of Moles of Ideal Gas is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.ⓘ Number of Moles of Ideal Gas [n]			+10% -10%
✖Temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%
✖Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place.ⓘ Final Volume of System [V_f]			+10% -10%
✖Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.ⓘ Initial Volume of System [V_i]			+10% -10%

✖Work done in Thermodynamic Process is done when a force that is applied to an object moves that object.ⓘ Work Done in Isothermal Process (using volume) [W]

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Formula

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Work Done in Isothermal Process (using volume)

Formula

`"W" = "n"* "[R]"*"T"_{"g"}*ln("V"_{"f"}/"V"_{"i"})`

Example

`"1250.068J"="3mol"* "[R]"*"300K"*ln("13m³"/"11m³")`

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Work Done in Isothermal Process (using volume) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)
W = n* [R]*T_g*ln(V_f/V_i)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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

Work done in Thermodynamic Process - (Measured in Joule) - Work done in Thermodynamic Process is done when a force that is applied to an object moves that object.
Number of Moles of Ideal Gas - (Measured in Mole) - Number of Moles of Ideal Gas is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the measure of hotness or coldness of a gas.
Final Volume of System - (Measured in Cubic Meter) - Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place.
Initial Volume of System - (Measured in Cubic Meter) - Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.

STEP 1: Convert Input(s) to Base Unit

Number of Moles of Ideal Gas: 3 Mole --> 3 Mole No Conversion Required
Temperature of Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Final Volume of System: 13 Cubic Meter --> 13 Cubic Meter No Conversion Required
Initial Volume of System: 11 Cubic Meter --> 11 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = n* [R]*T_g*ln(V_f/V_i) --> 3* [R]*300*ln(13/11)

Evaluating ... ...

W = 1250.06844792753

STEP 3: Convert Result to Output's Unit

1250.06844792753 Joule --> No Conversion Required

FINAL ANSWER

1250.06844792753 ≈ 1250.068 Joule <-- Work done in Thermodynamic Process

(Calculation completed in 00.004 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< 20 Ideal Gas Calculators

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

Go 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)

Final Temperature in Adiabatic Process (using pressure)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Final Pressure of System/Initial Pressure of System)^(1-1/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))

Final Temperature in Adiabatic Process (using volume)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Work Done in Isothermal Process (using volume)

Go Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)

Heat Transferred in Isothermal Process (using Pressure)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)

Heat Transferred in Isothermal Process (using Volume)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Final Volume of System/Initial Volume of System)

Work done in Isothermal Process (using Pressure)

Go Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)

Relative Humidity

Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)

Heat Transfer in Isobaric Process

Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference

Heat Transfer in Isochoric Process

Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Change in Internal Energy of System

Go Change in Internal Energy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Enthalpy of System

Go System Enthalpy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference

Ideal Gas Law for Calculating Volume

Go Ideal Gas Law for Calculating Volume = [R]*Temperature of Gas/Total Pressure of Ideal Gas

Ideal Gas Law for Calculating Pressure

Go Ideal Gas Law for calculating Pressure = [R]*(Temperature of Gas)/Total Volume of System

Adiabatic Index

Go Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Volume

Go Molar Specific Heat Capacity at Constant Volume = Molar Specific Heat Capacity at Constant Pressure-[R]

Henry Law Constant using Mole Fraction and Partial Pressure of Gas

Go Henry Law Constant = Partial Pressure/Mole Fraction of Component in Liquid Phase

Mole Fraction of Dissolved Gas using Henry Law

Go Mole Fraction of Component in Liquid Phase = Partial Pressure/Henry Law Constant

Partial Pressure using Henry Law

Go Partial Pressure = Henry Law Constant*Mole Fraction of Component in Liquid Phase

Work Done in Isothermal Process (using volume) Formula

Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)
W = n* [R]*T_g*ln(V_f/V_i)

What is Work done in isothermal Process using Volume?

Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally.

What is Quasi Static Process?

It is Infinitely slow process. It's Path can be defined. There is no dissipation effects like friction etc. Both System and surroundings can be restored to
their initial state. System follows the same path if we reverse the
process. Quasi static process are also called reversible
process.

How to Calculate Work Done in Isothermal Process (using volume)?

Work Done in Isothermal Process (using volume) calculator uses Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System) to calculate the Work done in Thermodynamic Process, Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally. Work done in Thermodynamic Process is denoted by W symbol.

How to calculate Work Done in Isothermal Process (using volume) using this online calculator? To use this online calculator for Work Done in Isothermal Process (using volume), enter Number of Moles of Ideal Gas (n), Temperature of Gas (T_g), Final Volume of System (V_f) & Initial Volume of System (V_i) and hit the calculate button. Here is how the Work Done in Isothermal Process (using volume) calculation can be explained with given input values -> 1250.068 = 3* [R]*300*ln(13/11).

FAQ

What is Work Done in Isothermal Process (using volume)?

Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally and is represented as W = n* [R]*T_g*ln(V_f/V_i) or Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System). Number of Moles of Ideal Gas is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight, Temperature of Gas is the measure of hotness or coldness of a gas, Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place & Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.

How to calculate Work Done in Isothermal Process (using volume)?

Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally is calculated using Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System). To calculate Work Done in Isothermal Process (using volume), you need Number of Moles of Ideal Gas (n), Temperature of Gas (T_g), Final Volume of System (V_f) & Initial Volume of System (V_i). With our tool, you need to enter the respective value for Number of Moles of Ideal Gas, Temperature of Gas, Final Volume of System & Initial Volume of System and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Work done in Thermodynamic Process?

In this formula, Work done in Thermodynamic Process uses Number of Moles of Ideal Gas, Temperature of Gas, Final Volume of System & Initial Volume of System. We can use 2 other way(s) to calculate the same, which is/are as follows -

Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure 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)

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