Molar Internal Energy of Ideal Gas given Boltzmann Constant Calculator

✖The Degree of Freedom of a system is the number of parameters of the system that may vary independently.ⓘ Degree of Freedom [F]			+10% -10%
✖Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.ⓘ Number of Moles [N_moles]			+10% -10%
✖Temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%

✖The internal energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state.ⓘ Molar Internal Energy of Ideal Gas given Boltzmann Constant [U]

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Formula

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Molar Internal Energy of Ideal Gas given Boltzmann Constant

Formula

`"U" = ("F"*"N"_{"moles"}*"[BoltZ]"*"T"_{"g"})/2`

Example

`"2.5E^-20J"=("3"*"4"*"[BoltZ]"*"300K")/2`

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Molar Internal Energy of Ideal Gas given Boltzmann Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Energy = (Degree of Freedom*Number of Moles*[BoltZ]*Temperature of Gas)/2
U = (F*N_moles*[BoltZ]*T_g)/2
This formula uses 1 Constants, 4 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Internal Energy - (Measured in Joule) - The internal energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state.
Degree of Freedom - The Degree of Freedom of a system is the number of parameters of the system that may vary independently.
Number of Moles - Number of Moles 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.

STEP 1: Convert Input(s) to Base Unit

Degree of Freedom: 3 --> No Conversion Required
Number of Moles: 4 --> No Conversion Required
Temperature of Gas: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (F*N_moles*[BoltZ]*T_g)/2 --> (3*4*[BoltZ]*300)/2

Evaluating ... ...

U = 2.485167336E-20

STEP 3: Convert Result to Output's Unit

2.485167336E-20 Joule --> No Conversion Required

FINAL ANSWER

2.485167336E-20 ≈ 2.5E-20 Joule <-- Internal Energy

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 8 Ideal Gas Calculators

Isothermal Compression of Ideal Gas

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

Molar Internal Energy of Ideal Gas given Boltzmann Constant

Go Internal Energy = (Degree of Freedom*Number of Moles*[BoltZ]*Temperature of Gas)/2

Number of Moles given Internal Energy of Ideal Gas

Go Number of Moles = 2*Internal Energy/(Degree of Freedom*[BoltZ]*Temperature of Gas)

Temperature of Ideal Gas given its Internal Energy

Go Temperature of Gas = 2*Internal Energy/(Degree of Freedom*Number of Moles*[BoltZ])

Degree of Freedom given Molar Internal Energy of Ideal Gas

Go Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)

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

Molar Internal Energy of Ideal Gas

Go Molar Internal Energy of Ideal gas = (Degree of Freedom*[R]*Temperature of Gas)/2

Molar Internal Energy of Ideal Gas given Boltzmann Constant Formula

Internal Energy = (Degree of Freedom*Number of Moles*[BoltZ]*Temperature of Gas)/2
U = (F*N_moles*[BoltZ]*T_g)/2

What is internal energy?

Internal energy is defined as the energy associated with the random, disordered motion of molecules. It is separated in scale from the macroscopic ordered energy associated with moving objects; it refers to the invisible microscopic energy on the atomic and molecular scale.

How to Calculate Molar Internal Energy of Ideal Gas given Boltzmann Constant?

Molar Internal Energy of Ideal Gas given Boltzmann Constant calculator uses Internal Energy = (Degree of Freedom*Number of Moles*[BoltZ]*Temperature of Gas)/2 to calculate the Internal Energy, Molar Internal Energy of Ideal Gas given Boltzmann Constant is defined as the energy associated with the random, disordered motion of molecules. It is separated in scale from the macroscopic ordered energy associated with moving objects. Internal Energy is denoted by U symbol.

How to calculate Molar Internal Energy of Ideal Gas given Boltzmann Constant using this online calculator? To use this online calculator for Molar Internal Energy of Ideal Gas given Boltzmann Constant, enter Degree of Freedom (F), Number of Moles (N_moles) & Temperature of Gas (T_g) and hit the calculate button. Here is how the Molar Internal Energy of Ideal Gas given Boltzmann Constant calculation can be explained with given input values -> 2.5E-20 = (3*4*[BoltZ]*300)/2.

FAQ

What is Molar Internal Energy of Ideal Gas given Boltzmann Constant?

Molar Internal Energy of Ideal Gas given Boltzmann Constant is defined as the energy associated with the random, disordered motion of molecules. It is separated in scale from the macroscopic ordered energy associated with moving objects and is represented as U = (F*N_moles*[BoltZ]*T_g)/2 or Internal Energy = (Degree of Freedom*Number of Moles*[BoltZ]*Temperature of Gas)/2. The Degree of Freedom of a system is the number of parameters of the system that may vary independently, Number of Moles 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.

How to calculate Molar Internal Energy of Ideal Gas given Boltzmann Constant?

Molar Internal Energy of Ideal Gas given Boltzmann Constant is defined as the energy associated with the random, disordered motion of molecules. It is separated in scale from the macroscopic ordered energy associated with moving objects is calculated using Internal Energy = (Degree of Freedom*Number of Moles*[BoltZ]*Temperature of Gas)/2. To calculate Molar Internal Energy of Ideal Gas given Boltzmann Constant, you need Degree of Freedom (F), Number of Moles (N_moles) & Temperature of Gas (T_g). With our tool, you need to enter the respective value for Degree of Freedom, Number of Moles & Temperature 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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