Temperature of One Gas Molecule given Boltzmann Constant Calculator

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✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy [KE]

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✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of One Gas Molecule given Boltzmann Constant [T_g]

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Formula

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Temperature of One Gas Molecule given Boltzmann Constant

Formula

`"T"_{"g"} = (2*"KE")/(3*"[BoltZ]")`

Example

`"1.9E^24K"=(2*"40J")/(3*"[BoltZ]")`

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Temperature of One Gas Molecule given Boltzmann Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ])
T_g = (2*KE)/(3*[BoltZ])
This formula uses 1 Constants, 2 Variables

Constants Used

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

Variables Used

Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 40 Joule --> 40 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = (2*KE)/(3*[BoltZ]) --> (2*40)/(3*[BoltZ])

Evaluating ... ...

T_g = 1.93145947577351E+24

STEP 3: Convert Result to Output's Unit

1.93145947577351E+24 Kelvin --> No Conversion Required

FINAL ANSWER

1.93145947577351E+24 ≈ 1.9E+24 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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< 12 Temperature of Gas Calculators

Temperature of Gas 1 given Kinetic Energy of both Gases

Go Temperature of Gas 1 = Temperature of Gas 2*(Kinetic Energy of Gas 1/Kinetic Energy of Gas 2)*(Number of Moles of Gas 2/Number of Moles of Gas 1)

Temperature of Gas 2 given Kinetic Energy of both Gases

Go Temperature of Gas 2 = Temperature of Gas 1*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1)

Temperature of Gas given Compressibility Factor

Go Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor)

Temperature of Gas given Average Velocity in 2D

Go Temperature of Gas = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*[R])

Temperature of Gas given Average Velocity

Go Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R])

Temperature given Most Probable Speed and Molar Mass

Go Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R])

Temperature of Gas given Root Mean Square Speed and Molar Mass in 2D

Go Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*[R])

Temperature of Gas given Root Mean Square Speed and Molar Mass

Go Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R])

Temperature given Most Probable Speed and Molar Mass in 2D

Go Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/([R])

Temperature of Gas given Root Mean Square Speed and Molar Mass in 1D

Go Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/([R])

Temperature of Gas given Kinetic Energy

Go Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles))

Temperature of One Gas Molecule given Boltzmann Constant

Go Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ])

Temperature of One Gas Molecule given Boltzmann Constant Formula

Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ])
T_g = (2*KE)/(3*[BoltZ])

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Temperature of One Gas Molecule given Boltzmann Constant?

Temperature of One Gas Molecule given Boltzmann Constant calculator uses Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ]) to calculate the Temperature of Gas, The Temperature of One Gas Molecule given Boltzmann Constant formula is defined as a two-thirds ratio of the kinetic energy of the gas molecule to the Boltzmann constant. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature of One Gas Molecule given Boltzmann Constant using this online calculator? To use this online calculator for Temperature of One Gas Molecule given Boltzmann Constant, enter Kinetic Energy (KE) and hit the calculate button. Here is how the Temperature of One Gas Molecule given Boltzmann Constant calculation can be explained with given input values -> 1.9E+24 = (2*40)/(3*[BoltZ]).

FAQ

What is Temperature of One Gas Molecule given Boltzmann Constant?

The Temperature of One Gas Molecule given Boltzmann Constant formula is defined as a two-thirds ratio of the kinetic energy of the gas molecule to the Boltzmann constant and is represented as T_g = (2*KE)/(3*[BoltZ]) or Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ]). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

How to calculate Temperature of One Gas Molecule given Boltzmann Constant?

The Temperature of One Gas Molecule given Boltzmann Constant formula is defined as a two-thirds ratio of the kinetic energy of the gas molecule to the Boltzmann constant is calculated using Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ]). To calculate Temperature of One Gas Molecule given Boltzmann Constant, you need Kinetic Energy (KE). With our tool, you need to enter the respective value for Kinetic Energy 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 Temperature of Gas?

In this formula, Temperature of Gas uses Kinetic Energy. We can use 9 other way(s) to calculate the same, which is/are as follows -

Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R])
Temperature of Gas = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*[R])
Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles))
Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R])
Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/([R])
Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*[R])
Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor)
Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R])
Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/([R])

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