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Molar Mass of Gas given Average Speed of Gas Formula

GoMolar Mass of Gas given Most Probable Speed of Gas Formula

GoMolar Mass of Gas given RMS Velocity of Gas Formula

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

M molar = \frac{8 \cdot [R] \cdot T ga}{π \cdot {V avg}^{2}}

M_molar - Molar Mass?T_ga - Temperature of Gas A?V_avg - Average Speed of Gas?[R] - Universal gas constant?π - Archimedes' constant?

Molar Mass of Gas given Average Speed of Gas Example

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

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

Here is how the Molar Mass of Gas given Average Speed of Gas equation looks like.

3.8111 = \frac{8 \cdot 8.3145 \cdot 45}{3.1416 \cdot 500^{2}}

3.8111g/mol = \frac{8 \cdot 8.3145 \cdot 45K}{3.1416 \cdot {500m/s}^{2}}

3.8111 = \frac{8 \cdot 8.3145 \cdot 45}{3.1416 \cdot 500^{2}}

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Molar Mass of Gas given Average Speed of Gas Solution

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

FIRST Step Consider the formula

M molar = \frac{8 \cdot [R] \cdot T ga}{π \cdot {V avg}^{2}}

Next Step Substitute values of Variables

∴

M molar = \frac{8 \cdot [R] \cdot 45K}{π \cdot {500m/s}^{2}}

Next Step Substitute values of Constants

∴

M molar = \frac{8 \cdot 8.3145 \cdot 45K}{3.1416 \cdot {500m/s}^{2}}

Next Step Prepare to Evaluate

∴

M molar = \frac{8 \cdot 8.3145 \cdot 45}{3.1416 \cdot 500^{2}}

Next Step Evaluate

∴

M molar = 0.00381106893551579kg/mol

Next Step Convert to Output's Unit

∴

M molar = 3.81106893551579g/mol

LAST Step Rounding Answer

∴

M molar = 3.8111g/mol

Molar Mass of Gas given Average Speed of Gas Formula Elements

Variables

Constants

Molar Mass

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

Symbol: M_molar

Measurement: Molar MassUnit: g/mol

Note: Value can be positive or negative.

Formulas to find Molar Mass

Temperature of Gas A

The Temperature of Gas A is a measure of the average kinetic energy of the gas particles, influencing their behavior and interactions in thermodynamic processes.

Symbol: T_ga

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas A

Average Speed of Gas

Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.

Symbol: V_avg

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Average Speed 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

Go Molar Mass of Gas given Most Probable Speed of Gas

M molar = \frac{2 \cdot [R] \cdot T ga}{{V p}^{2}}

Go Molar Mass of Gas given RMS Velocity of Gas

M molar = \frac{3 \cdot [R] \cdot T ga}{{V rms}^{2}}

Other formulas in Factors of Thermodynamics category

Go Absolute Humidity

AH = \frac{W}{V}

Go Average Speed of Gases

V avg = \sqrt{\frac{8 \cdot [R] \cdot T ga}{π \cdot M molar}}

Go Degree of Freedom given Equipartition Energy

F = 2 \cdot \frac{K}{[BoltZ] \cdot T gb}

Go Most Probable Speed

V p = \sqrt{\frac{2 \cdot [R] \cdot T ga}{M molar}}

How to Evaluate Molar Mass of Gas given Average Speed of Gas?

Molar Mass of Gas given Average Speed of Gas evaluator uses Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2) to evaluate the Molar Mass, Molar Mass of Gas given Average Speed of Gas formula is defined as a relationship that connects the molar mass of a gas to its average speed, temperature, and the ideal gas constant, illustrating the behavior of gases in thermodynamic contexts. Molar Mass is denoted by M_molar symbol.

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

FAQs on Molar Mass of Gas given Average Speed of Gas

What is the formula to find Molar Mass of Gas given Average Speed of Gas?

The formula of Molar Mass of Gas given Average Speed of Gas is expressed as Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2). Here is an example- 3811.069 = (8*[R]*45)/(pi*147.1356^2).

How to calculate Molar Mass of Gas given Average Speed of Gas?

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

What are the other ways to Calculate Molar Mass?

Here are the different ways to Calculate Molar Mass-

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

Can the Molar Mass of Gas given Average Speed of Gas be negative?

Yes, the Molar Mass of Gas given Average Speed of Gas, measured in Molar Mass can be negative.

Which unit is used to measure Molar Mass of Gas given Average Speed of Gas?

Molar Mass of Gas given Average Speed of Gas 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 Average Speed of Gas can be measured.

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Molar Mass of Gas given Average Speed of Gas Formula

​GoMolar Mass of Gas given Most Probable Speed of Gas Formula

​GoMolar Mass of Gas given RMS Velocity of Gas Formula

Molar Mass of Gas given Average Speed of Gas Example

Molar Mass of Gas given Average Speed of Gas Solution

Molar Mass of Gas given Average Speed of Gas Formula Elements

Other Formulas to find Molar Mass

Other formulas in Factors of Thermodynamics category

How to Evaluate Molar Mass of Gas given Average Speed of Gas?

FAQs on Molar Mass of Gas given Average Speed of Gas

Variable Name

GoMolar Mass of Gas given Most Probable Speed of Gas Formula

GoMolar Mass of Gas given RMS Velocity of Gas Formula