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Temperature of Gas given Root Mean Square Speed and Molar Mass Calculator

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✖The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.ⓘ Root Mean Square Speed [C_RMS]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%

✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas given Root Mean Square Speed and Molar Mass [T_g]

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Temperature of Gas given Root Mean Square Speed and Molar Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R])
T_g = ((C_RMS)^2)*M_molar/(3*[R])
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.
Root Mean Square Speed - (Measured in Meter per Second) - The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.

STEP 1: Convert Input(s) to Base Unit

Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = ((C_RMS)^2)*M_molar/(3*[R]) --> ((10)^2)*0.04401/(3*[R])

Evaluating ... ...

T_g = 0.176439544847679

STEP 3: Convert Result to Output's Unit

0.176439544847679 Kelvin --> No Conversion Required

FINAL ANSWER

0.176439544847679 ≈ 0.17644 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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< Temperature of Gas Calculators

Temperature of Gas 1 given Kinetic Energy of both Gases

LaTeX 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

LaTeX 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 Average Velocity in 2D

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

Temperature of Gas given Average Velocity

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

Temperature of Gas given Root Mean Square Speed and Molar Mass Formula

LaTeX Go

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

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 Root Mean Square Speed and Molar Mass?

Temperature of Gas given Root Mean Square Speed and Molar Mass calculator uses Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R]) to calculate the Temperature of Gas, The Temperature of Gas given Root Mean Square Speed and Molar Mass formula is defined as the product of mean square speed and molar mass of the respective gas. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature of Gas given Root Mean Square Speed and Molar Mass using this online calculator? To use this online calculator for Temperature of Gas given Root Mean Square Speed and Molar Mass, enter Root Mean Square Speed (C_RMS) & Molar Mass (M_molar) and hit the calculate button. Here is how the Temperature of Gas given Root Mean Square Speed and Molar Mass calculation can be explained with given input values -> 0.17644 = ((10)^2)*0.04401/(3*[R]).

FAQ

What is Temperature of Gas given Root Mean Square Speed and Molar Mass?

The Temperature of Gas given Root Mean Square Speed and Molar Mass formula is defined as the product of mean square speed and molar mass of the respective gas and is represented as T_g = ((C_RMS)^2)*M_molar/(3*[R]) or Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R]). The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate Temperature of Gas given Root Mean Square Speed and Molar Mass?

The Temperature of Gas given Root Mean Square Speed and Molar Mass formula is defined as the product of mean square speed and molar mass of the respective gas is calculated using Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R]). To calculate Temperature of Gas given Root Mean Square Speed and Molar Mass, you need Root Mean Square Speed (C_RMS) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Root Mean Square Speed & Molar Mass 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 Root Mean Square Speed & Molar Mass. We can use 3 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))

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