Most Probable Velocity of Gas given Temperature in 2D Calculator

✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%

✖Most Probable Velocity given T is the velocity possessed by a maximum fraction of molecules at the same temperature.ⓘ Most Probable Velocity of Gas given Temperature in 2D [C_T]

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Formula

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Most Probable Velocity of Gas given Temperature in 2D

Formula

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

Example

`"75.28389m/s"=sqrt(("[R]"*"30K")/"44.01g/mol")`

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Most Probable Velocity of Gas given Temperature in 2D Solution

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass)
C_T = sqrt(([R]*T_g)/M_molar)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Most Probable Velocity given T - (Measured in Meter per Second) - Most Probable Velocity given T is the velocity possessed by a maximum fraction of molecules at the same temperature.
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.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas: 30 Kelvin --> 30 Kelvin 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

C_T = sqrt(([R]*T_g)/M_molar) --> sqrt(([R]*30)/0.04401)

Evaluating ... ...

C_T = 75.2838872516737

STEP 3: Convert Result to Output's Unit

75.2838872516737 Meter per Second --> No Conversion Required

FINAL ANSWER

75.2838872516737 ≈ 75.28389 Meter per Second <-- Most Probable Velocity given T

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

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

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 8 Most Probable Velocity of Gas Calculators

Most Probable Velocity of Gas given Pressure and Volume

Go Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)

Most Probable Velocity of Gas given Pressure and Volume in 2D

Go Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)

Most Probable Velocity of Gas given Temperature

Go Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)

Most Probable Velocity of Gas given Temperature in 2D

Go Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass)

Most Probable Velocity of Gas given Pressure and Density

Go Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas)

Most Probable Velocity of Gas given Pressure and Density in 2D

Go Most Probable Velocity given P and D = sqrt((Pressure of Gas)/Density of Gas)

Most Probable Velocity of Gas given RMS Velocity in 2D

Go Most Probable Velocity given RMS = (0.7071*Root Mean Square Speed)

Most Probable Velocity of Gas given RMS Velocity

Go Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)

< 12 Important Formulae on 2D Calculators

Pressure of Gas given Average Velocity and Volume in 2D

Go Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D

Go Root Mean Square Speed 2D = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)

Most Probable Velocity of Gas given Pressure and Volume in 2D

Go Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)

Molar Mass of Gas given Average Velocity, Pressure, and Volume in 2D

Go Molar Mass 2D = (pi*Pressure of Gas*Volume of Gas)/(2*((Average Velocity of Gas)^2))

Pressure of Gas given Most Probable Speed and Volume in 2D

Go Pressure of Gas given CMS and V in 2D = (Molar Mass*(Most Probable Velocity)^2)/(Volume of Gas for 1D and 2D)

Most Probable Velocity of Gas given Temperature in 2D

Go Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass)

Molar Mass of Gas given Root Mean Square Speed and Pressure in 2D

Go Molar Mass given S and V = (2*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)

Pressure of Gas given Average Velocity and Density in 2D

Go Pressure of Gas given AV and D = (Density of Gas*2*((Average Velocity of Gas)^2))/pi

Most Probable Velocity of Gas given Pressure and Density in 2D

Go Most Probable Velocity given P and D = sqrt((Pressure of Gas)/Density of Gas)

Molar Mass given Most Probable Speed and Temperature in 2D

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

Pressure of Gas given most probable Speed and Density in 2D

Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))

Most Probable Velocity of Gas given RMS Velocity in 2D

Go Most Probable Velocity given RMS = (0.7071*Root Mean Square Speed)

Most Probable Velocity of Gas given Temperature in 2D Formula

Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass)
C_T = sqrt(([R]*T_g)/M_molar)

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 Most Probable Velocity of Gas given Temperature in 2D?

Most Probable Velocity of Gas given Temperature in 2D calculator uses Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass) to calculate the Most Probable Velocity given T, The Most probable velocity of gas given temperature in 2D formula is defined as the ratio of the square root of the temperature to the molar mass. Most Probable Velocity given T is denoted by C_T symbol.

How to calculate Most Probable Velocity of Gas given Temperature in 2D using this online calculator? To use this online calculator for Most Probable Velocity of Gas given Temperature in 2D, enter Temperature of Gas (T_g) & Molar Mass (M_molar) and hit the calculate button. Here is how the Most Probable Velocity of Gas given Temperature in 2D calculation can be explained with given input values -> 75.28389 = sqrt(([R]*30)/0.04401).

FAQ

What is Most Probable Velocity of Gas given Temperature in 2D?

The Most probable velocity of gas given temperature in 2D formula is defined as the ratio of the square root of the temperature to the molar mass and is represented as C_T = sqrt(([R]*T_g)/M_molar) or Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass). The temperature of Gas is the measure of hotness or coldness of a gas & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate Most Probable Velocity of Gas given Temperature in 2D?

The Most probable velocity of gas given temperature in 2D formula is defined as the ratio of the square root of the temperature to the molar mass is calculated using Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass). To calculate Most Probable Velocity of Gas given Temperature in 2D, you need Temperature of Gas (T_g) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Temperature of Gas & 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 Most Probable Velocity given T?

In this formula, Most Probable Velocity given T uses Temperature of Gas & Molar Mass. We can use 1 other way(s) to calculate the same, which is/are as follows -

Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)

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