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Isothermal Expansion Calculator

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✖Number of Moles given KE is the total number of particles present in the specific container.ⓘ Number of Moles given KE [N_KE]			+10% -10%
✖High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.ⓘ High Temperature [T_high]			+10% -10%
✖Volume finally is the final volume of distribution and it is related to the amount in the system after the chemical is distributed or eliminated.ⓘ Volume finally [V_f]			+10% -10%
✖Volume Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated.ⓘ Volume Initially [Vi]			+10% -10%

✖Work Done in Isothermal Expansion is defined as a force acting on something else and causes displacement then the work is said to be done by the system.ⓘ Isothermal Expansion [W_{iso_Exp}]

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Isothermal Expansion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially)
W_{iso_Exp} = -N_KE*8.314*T_high*ln(V_f/Vi)
This formula uses 1 Functions, 5 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

Work Done in Isothermal Expansion - (Measured in Joule) - Work Done in Isothermal Expansion is defined as a force acting on something else and causes displacement then the work is said to be done by the system.
Number of Moles given KE - Number of Moles given KE is the total number of particles present in the specific container.
High Temperature - (Measured in Kelvin) - High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.
Volume finally - (Measured in Cubic Meter) - Volume finally is the final volume of distribution and it is related to the amount in the system after the chemical is distributed or eliminated.
Volume Initially - (Measured in Cubic Meter) - Volume Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated.

STEP 1: Convert Input(s) to Base Unit

Number of Moles given KE: 0.04 --> No Conversion Required
High Temperature: 100 Kelvin --> 100 Kelvin No Conversion Required
Volume finally: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required
Volume Initially: 10 Cubic Meter --> 10 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_{iso_Exp} = -N_KE*8.314*T_high*ln(V_f/Vi) --> -0.04*8.314*100*ln(100/10)

Evaluating ... ...

W_{iso_Exp} = -76.57476985261

STEP 3: Convert Result to Output's Unit

-76.57476985261 Joule --> No Conversion Required

FINAL ANSWER

-76.57476985261 ≈ -76.57477 Joule <-- Work Done in Isothermal Expansion

(Calculation completed in 00.004 seconds)

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< First Order Thermodynamics Calculators

Heat Energy given Internal Energy

LaTeX Go Change in Heat Energy = Internal Energy of the System+(Work Done given IE)

Internal Energy of System

LaTeX Go Internal Energy of the System = Change in Heat Energy-(Work Done given IE)

Work Done given Internal Energy

LaTeX Go Work Done given IE = Change in Heat Energy-Internal Energy of the System

Work Done in Irreversible Process

LaTeX Go Irreversible Work Done = -External Pressure*Volume change

Isothermal Expansion Formula

LaTeX Go

Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially)
W_{iso_Exp} = -N_KE*8.314*T_high*ln(V_f/Vi)

What is Carnot Cycle?

A reversible isothermal gas expansion process. In this process, the ideal gas in the system absorbs qin amount heat from a heat source at a high temperature Thigh , expands and does work on surroundings. A reversible adiabatic gas compression process. In this process, the system is thermally insulated. Surroundings continue to do work to the gas, which causes the temperature to rise back to T high .

How to Calculate Isothermal Expansion?

Isothermal Expansion calculator uses Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially) to calculate the Work Done in Isothermal Expansion, The Isothermal Expansion formula is defined as is defined as a force acting on something else and causes displacement then the work is said to be done by the system. Work Done in Isothermal Expansion is denoted by W_{iso_Exp} symbol.

How to calculate Isothermal Expansion using this online calculator? To use this online calculator for Isothermal Expansion, enter Number of Moles given KE (N_KE), High Temperature (T_high), Volume finally (V_f) & Volume Initially (Vi) and hit the calculate button. Here is how the Isothermal Expansion calculation can be explained with given input values -> -76.57477 = -0.04*8.314*100*ln(100/10).

FAQ

What is Isothermal Expansion?

The Isothermal Expansion formula is defined as is defined as a force acting on something else and causes displacement then the work is said to be done by the system and is represented as W_{iso_Exp} = -N_KE*8.314*T_high*ln(V_f/Vi) or Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially). Number of Moles given KE is the total number of particles present in the specific container, High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius, Volume finally is the final volume of distribution and it is related to the amount in the system after the chemical is distributed or eliminated & Volume Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated.

How to calculate Isothermal Expansion?

The Isothermal Expansion formula is defined as is defined as a force acting on something else and causes displacement then the work is said to be done by the system is calculated using Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially). To calculate Isothermal Expansion, you need Number of Moles given KE (N_KE), High Temperature (T_high), Volume finally (V_f) & Volume Initially (Vi). With our tool, you need to enter the respective value for Number of Moles given KE, High Temperature, Volume finally & Volume Initially 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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