Temperature of Gas given Kinetic Energy Calculator

✖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]			+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%

✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas given Kinetic Energy [T_g]

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Formula

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Temperature of Gas given Kinetic Energy

Formula

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

Example

`"1.603631K"=(2/3)*("40J"/("[R]"*"2"))`

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Temperature of Gas given Kinetic Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
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.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 40 Joule --> 40 Joule No Conversion Required
Number of Moles: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

T_g = 1.60363140056968

STEP 3: Convert Result to Output's Unit

1.60363140056968 Kelvin --> No Conversion Required

FINAL ANSWER

1.60363140056968 ≈ 1.603631 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

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 Gas given Kinetic Energy Formula

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

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 Gas given Kinetic Energy?

Temperature of Gas given Kinetic Energy calculator uses Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles)) to calculate the Temperature of Gas, The Temperature of Gas given Kinetic Energy formula is defined as the two-third ratio of the kinetic energy to the product of gas constant and number of moles. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature of Gas given Kinetic Energy using this online calculator? To use this online calculator for Temperature of Gas given Kinetic Energy, enter Kinetic Energy (KE) & Number of Moles (N_moles) and hit the calculate button. Here is how the Temperature of Gas given Kinetic Energy calculation can be explained with given input values -> 1.603631 = (2/3)*(40/([R]*2)).

FAQ

What is Temperature of Gas given Kinetic Energy?

The Temperature of Gas given Kinetic Energy formula is defined as the two-third ratio of the kinetic energy to the product of gas constant and number of moles and is represented as T_g = (2/3)*(KE/([R]*N_moles)) or Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles)). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity & Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.

How to calculate Temperature of Gas given Kinetic Energy?

The Temperature of Gas given Kinetic Energy formula is defined as the two-third ratio of the kinetic energy to the product of gas constant and number of moles is calculated using Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles)). To calculate Temperature of Gas given Kinetic Energy, you need Kinetic Energy (KE) & Number of Moles (N_moles). With our tool, you need to enter the respective value for Kinetic Energy & Number of Moles 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 & Number of Moles. 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 = ((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 = (2*Kinetic Energy)/(3*[BoltZ])
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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