Temperature given Most Probable Speed and Molar Mass in 2D 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 in 2D [T_g]

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Formula

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Temperature given Most Probable Speed and Molar Mass in 2D

Formula

`"T"_{"g"} = ("M"_{"molar"}*(("C"_{"mp"})^2))/("[R]")`

Example

`"2.117275K"=("44.01g/mol"*(("20m/s")^2))/("[R]")`

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Temperature given Most Probable Speed and Molar Mass in 2D Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/([R])
T_g = (M_molar*((C_mp)^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))/([R]) --> (0.04401*((20)^2))/([R])

Evaluating ... ...

T_g = 2.11727453817215

STEP 3: Convert Result to Output's Unit

2.11727453817215 Kelvin --> No Conversion Required

FINAL ANSWER

2.11727453817215 ≈ 2.117275 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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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 given Most Probable Speed and Molar Mass in 2D Formula

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

Temperature given Most Probable Speed and Molar Mass in 2D calculator uses Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/([R]) to calculate the Temperature of Gas, The Temperature given Most Probable Speed and Molar Mass in 2D 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 in 2D using this online calculator? To use this online calculator for Temperature given Most Probable Speed and Molar Mass in 2D, 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 in 2D calculation can be explained with given input values -> 2.117275 = (0.04401*((20)^2))/([R]).

FAQ

What is Temperature given Most Probable Speed and Molar Mass in 2D?

The Temperature given Most Probable Speed and Molar Mass in 2D 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))/([R]) or Temperature of Gas = (Molar Mass*((Most Probable Velocity)^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 in 2D?

The Temperature given Most Probable Speed and Molar Mass in 2D 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))/([R]). To calculate Temperature given Most Probable Speed and Molar Mass in 2D, 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 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 = (2*Kinetic Energy)/(3*[BoltZ])
Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R])

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