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Temperature of Gas given Average Velocity Calculator

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✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%
✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas [C_av]			+10% -10%

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

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Temperature of Gas given Average Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R])
T_g = (M_molar*pi*((C_av)^2))/(8*[R])
This formula uses 2 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Average Velocity of Gas - (Measured in Meter per Second) - The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

STEP 1: Convert Input(s) to Base Unit

Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = (M_molar*pi*((C_av)^2))/(8*[R]) --> (0.04401*pi*((5)^2))/(8*[R])

Evaluating ... ...

T_g = 0.0519657354277683

STEP 3: Convert Result to Output's Unit

0.0519657354277683 Kelvin --> No Conversion Required

FINAL ANSWER

0.0519657354277683 ≈ 0.051966 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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< 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 Average Velocity Formula

LaTeX Go

Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R])
T_g = (M_molar*pi*((C_av)^2))/(8*[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 Average Velocity?

Temperature of Gas given Average Velocity calculator uses Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R]) to calculate the Temperature of Gas, The Temperature of Gas given Average Velocity formula is defined as the product of the square of the average velocity and molar mass of the gas. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature of Gas given Average Velocity using this online calculator? To use this online calculator for Temperature of Gas given Average Velocity, enter Molar Mass (M_molar) & Average Velocity of Gas (C_av) and hit the calculate button. Here is how the Temperature of Gas given Average Velocity calculation can be explained with given input values -> 0.051966 = (0.04401*pi*((5)^2))/(8*[R]).

FAQ

What is Temperature of Gas given Average Velocity?

The Temperature of Gas given Average Velocity formula is defined as the product of the square of the average velocity and molar mass of the gas and is represented as T_g = (M_molar*pi*((C_av)^2))/(8*[R]) or Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R]). Molar Mass is the mass of a given substance divided by the amount of substance & The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

How to calculate Temperature of Gas given Average Velocity?

The Temperature of Gas given Average Velocity formula is defined as the product of the square of the average velocity and molar mass of the gas is calculated using Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R]). To calculate Temperature of Gas given Average Velocity, you need Molar Mass (M_molar) & Average Velocity of Gas (C_av). With our tool, you need to enter the respective value for Molar Mass & Average Velocity of Gas 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 Molar Mass & Average Velocity of Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

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])

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