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Temperature given Most Probable Speed and Molar Mass 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 Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.ⓘ Most Probable Velocity [C_mp]			+10% -10%

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

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Temperature given Most Probable Speed and Molar Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R])
T_g = (M_molar*((C_mp)^2))/(2*[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.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Most Probable Velocity - (Measured in Meter per Second) - The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.

STEP 1: Convert Input(s) to Base Unit

Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Most Probable Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = (M_molar*((C_mp)^2))/(2*[R]) --> (0.04401*((20)^2))/(2*[R])

Evaluating ... ...

T_g = 1.05863726908607

STEP 3: Convert Result to Output's Unit

1.05863726908607 Kelvin --> No Conversion Required

FINAL ANSWER

1.05863726908607 ≈ 1.058637 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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< Temperature of Gas Calculators

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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)

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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 given Most Probable Speed and Molar Mass Formula

LaTeX Go

Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R])
T_g = (M_molar*((C_mp)^2))/(2*[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 given Most Probable Speed and Molar Mass?

Temperature given Most Probable Speed and Molar Mass calculator uses Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R]) to calculate the Temperature of Gas, The Temperature given Most Probable Speed and Molar Mass formula is defined as the direct proportion of temperature with the molar mass and square of the most probable speed of gas molecules. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature given Most Probable Speed and Molar Mass using this online calculator? To use this online calculator for Temperature given Most Probable Speed and Molar Mass, enter Molar Mass (M_molar) & Most Probable Velocity (C_mp) and hit the calculate button. Here is how the Temperature given Most Probable Speed and Molar Mass calculation can be explained with given input values -> 1.058637 = (0.04401*((20)^2))/(2*[R]).

FAQ

What is Temperature given Most Probable Speed and Molar Mass?

The Temperature given Most Probable Speed and Molar Mass formula is defined as the direct proportion of temperature with the molar mass and square of the most probable speed of gas molecules and is represented as T_g = (M_molar*((C_mp)^2))/(2*[R]) or Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R]). Molar Mass is the mass of a given substance divided by the amount of substance & The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.

How to calculate Temperature given Most Probable Speed and Molar Mass?

The Temperature given Most Probable Speed and Molar Mass formula is defined as the direct proportion of temperature with the molar mass and square of the most probable speed of gas molecules is calculated using Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R]). To calculate Temperature given Most Probable Speed and Molar Mass, you need Molar Mass (M_molar) & Most Probable Velocity (C_mp). With our tool, you need to enter the respective value for Molar Mass & Most Probable Velocity 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 & Most Probable Velocity. 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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