FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Molar Mass of Gas given Temperature and Average Velocity Formula

GoMolar Mass of Gas given most probable Speed, Pressure and Volume in 2D Formula

GoMolar Mass of Gas given Root Mean Square Speed and Pressure in 1D Formula

Fx Copy

LaTeX Copy

Molar Mass of a Gas is the mass of a given substance divided by the amount of substance. Check FAQs

M molar_g = \frac{8 \cdot [R] \cdot T g}{π \cdot {(C av)}^{2}}

M_{molar_g} - Molar Mass of a Gas?T_g - Temperature of Gas?C_av - Average Velocity of Gas?[R] - Universal gas constant?π - Archimedes' constant?

Molar Mass of Gas given Temperature and Average Velocity Example

With values

With units

Only example

Here is how the Molar Mass of Gas given Temperature and Average Velocity equation looks like with Values.

Here is how the Molar Mass of Gas given Temperature and Average Velocity equation looks like with Units.

Here is how the Molar Mass of Gas given Temperature and Average Velocity equation looks like.

25407.1262 = \frac{8 \cdot 8.3145 \cdot 30}{3.1416 \cdot {(5)}^{2}}

25407.1262g/mol = \frac{8 \cdot 8.3145 \cdot 30K}{3.1416 \cdot {(5m/s)}^{2}}

25407.1262 = \frac{8 \cdot 8.3145 \cdot 30}{3.1416 \cdot {(5)}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

Molar Mass of Gas » fx Molar Mass of Gas given Temperature and Average Velocity

Molar Mass of Gas given Temperature and Average Velocity Solution

Follow our step by step solution on how to calculate Molar Mass of Gas given Temperature and Average Velocity?

FIRST Step Consider the formula

M molar_g = \frac{8 \cdot [R] \cdot T g}{π \cdot {(C av)}^{2}}

Next Step Substitute values of Variables

∴

M molar_g = \frac{8 \cdot [R] \cdot 30K}{π \cdot {(5m/s)}^{2}}

Next Step Substitute values of Constants

∴

M molar_g = \frac{8 \cdot 8.3145 \cdot 30K}{3.1416 \cdot {(5m/s)}^{2}}

Next Step Prepare to Evaluate

∴

M molar_g = \frac{8 \cdot 8.3145 \cdot 30}{3.1416 \cdot {(5)}^{2}}

Next Step Evaluate

∴

M molar_g = 25.4071262367719kg/mol

Next Step Convert to Output's Unit

∴

M molar_g = 25407.1262367719g/mol

LAST Step Rounding Answer

∴

M molar_g = 25407.1262g/mol

Molar Mass of Gas given Temperature and Average Velocity Formula Elements

Variables

Constants

Molar Mass of a Gas

Molar Mass of a Gas is the mass of a given substance divided by the amount of substance.

Symbol: M_{molar_g}

Measurement: Molar MassUnit: g/mol

Note: Value can be positive or negative.

Formulas to find Molar Mass of a Gas

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Average Velocity of Gas

The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

Symbol: C_av

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Gas

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Molar Mass of a Gas

Go Molar Mass of Gas given most probable Speed, Pressure and Volume in 2D

M molar_g = \frac{P gas \cdot V}{{(C mp)}^{2}}

Go Molar Mass of Gas given Root Mean Square Speed and Pressure in 1D

M molar_g = \frac{P gas \cdot V}{{(C RMS)}^{2}}

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

M molar_g = \frac{3 \cdot [R] \cdot T g}{{(C RMS)}^{2}}

Go Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D

M molar_g = \frac{[R] \cdot T g}{{(C RMS)}^{2}}

Other formulas in Molar Mass of Gas category

Go Molar Mass of Gas given Average Velocity, Pressure, and Volume

M AV_P = \frac{8 \cdot P gas \cdot V}{π \cdot ({(C av)}^{2})}

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

M m_2D = \frac{π \cdot P gas \cdot V}{2 \cdot ({(C av)}^{2})}

Go Molar Mass of gas given most probable Speed, Pressure and Volume

M S_P = \frac{2 \cdot P gas \cdot V}{{(C mp)}^{2}}

Go Molar Mass given Most probable Speed and Temperature

M P_V = \frac{2 \cdot [R] \cdot T g}{{(C mp)}^{2}}

How to Evaluate Molar Mass of Gas given Temperature and Average Velocity?

Molar Mass of Gas given Temperature and Average Velocity evaluator uses Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2) to evaluate the Molar Mass of a Gas, The Molar mass of gas given temperature and average velocity formula is defined as the direct proportion of the molar mass of gas with temperature and inverse proportion of molar mass with the square of the most probable velocity. Molar Mass of a Gas is denoted by M_{molar_g} symbol.

How to evaluate Molar Mass of Gas given Temperature and Average Velocity using this online evaluator? To use this online evaluator for Molar Mass of Gas given Temperature and Average Velocity, enter Temperature of Gas (T_g) & Average Velocity of Gas (C_av) and hit the calculate button.

FAQs on Molar Mass of Gas given Temperature and Average Velocity

What is the formula to find Molar Mass of Gas given Temperature and Average Velocity?

The formula of Molar Mass of Gas given Temperature and Average Velocity is expressed as Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2). Here is an example- 2.5E+7 = (8*[R]*30)/(pi*(5)^2).

How to calculate Molar Mass of Gas given Temperature and Average Velocity?

With Temperature of Gas (T_g) & Average Velocity of Gas (C_av) we can find Molar Mass of Gas given Temperature and Average Velocity using the formula - Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2). This formula also uses Universal gas constant, Archimedes' constant .

What are the other ways to Calculate Molar Mass of a Gas?

Here are the different ways to Calculate Molar Mass of a Gas-

Molar Mass of a Gas=(Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)
Molar Mass of a Gas=(Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
Molar Mass of a Gas=(3*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)

Can the Molar Mass of Gas given Temperature and Average Velocity be negative?

Yes, the Molar Mass of Gas given Temperature and Average Velocity, measured in Molar Mass can be negative.

Which unit is used to measure Molar Mass of Gas given Temperature and Average Velocity?

Molar Mass of Gas given Temperature and Average Velocity is usually measured using the Gram Per Mole[g/mol] for Molar Mass. Kilogram Per Mole[g/mol], Chlorine Molecule (Cl2) Molecular Mass[g/mol], Hydrogen (H) - Standard Atomic Weight[g/mol] are the few other units in which Molar Mass of Gas given Temperature and Average Velocity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!