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Molar Mass of Gas given RMS Velocity of Gas Formula

GoMolar Mass of Gas given Average Speed of Gas Formula

GoMolar Mass of Gas given Most Probable Speed 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{3 \cdot [R] \cdot T ga}{{V rms}^{2}}

M_molar - Molar Mass?T_ga - Temperature of Gas A?V_rms - Root Mean Square Velocity?[R] - Universal gas constant?

Molar Mass of Gas given RMS Velocity of Gas Example

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

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

Here is how the Molar Mass of Gas given RMS Velocity of Gas equation looks like.

12.4717 = \frac{3 \cdot 8.3145 \cdot 45}{300^{2}}

12.4717g/mol = \frac{3 \cdot 8.3145 \cdot 45K}{{300m/s}^{2}}

12.4717 = \frac{3 \cdot 8.3145 \cdot 45}{300^{2}}

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Molar Mass of Gas given RMS Velocity of Gas Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M molar = \frac{3 \cdot [R] \cdot 45K}{{300m/s}^{2}}

Next Step Substitute values of Constants

∴

M molar = \frac{3 \cdot 8.3145 \cdot 45K}{{300m/s}^{2}}

Next Step Prepare to Evaluate

∴

M molar = \frac{3 \cdot 8.3145 \cdot 45}{300^{2}}

Next Step Evaluate

∴

M molar = 0.0124716939272299kg/mol

Next Step Convert to Output's Unit

∴

M molar = 12.4716939272299g/mol

LAST Step Rounding Answer

∴

M molar = 12.4717g/mol

Molar Mass of Gas given RMS Velocity 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

Root Mean Square Velocity

The Root Mean Square Velocity is the square root of the average of the square of the velocity. As such, it has units of velocity.

Symbol: V_rms

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Root Mean Square Velocity

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

Other Formulas to find Molar Mass

Go Molar Mass of Gas given Average Speed of Gas

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

Go Molar Mass of Gas given Most Probable Speed of Gas

M molar = \frac{2 \cdot [R] \cdot T ga}{{V p}^{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 RMS Velocity of Gas?

Molar Mass of Gas given RMS Velocity of Gas evaluator uses Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2 to evaluate the Molar Mass, Molar Mass of Gas given RMS Velocity of Gas formula is defined as a relationship that connects the molar mass of a gas to its root mean square velocity, temperature, and the universal gas constant, providing insights into gas behavior. Molar Mass is denoted by M_molar symbol.

How to evaluate Molar Mass of Gas given RMS Velocity of Gas using this online evaluator? To use this online evaluator for Molar Mass of Gas given RMS Velocity of Gas, enter Temperature of Gas A (T_ga) & Root Mean Square Velocity (V_rms) and hit the calculate button.

FAQs on Molar Mass of Gas given RMS Velocity of Gas

What is the formula to find Molar Mass of Gas given RMS Velocity of Gas?

The formula of Molar Mass of Gas given RMS Velocity of Gas is expressed as Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2. Here is an example- 12471.69 = (3*[R]*45)/159.8786^2.

How to calculate Molar Mass of Gas given RMS Velocity of Gas?

With Temperature of Gas A (T_ga) & Root Mean Square Velocity (V_rms) we can find Molar Mass of Gas given RMS Velocity of Gas using the formula - Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2. This formula also uses Universal gas constant .

What are the other ways to Calculate Molar Mass?

Here are the different ways to Calculate Molar Mass-

Molar Mass=(8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
Molar Mass=(2*[R]*Temperature of Gas A)/Most Probable Speed^2

Can the Molar Mass of Gas given RMS Velocity of Gas be negative?

Yes, the Molar Mass of Gas given RMS Velocity of Gas, measured in Molar Mass can be negative.

Which unit is used to measure Molar Mass of Gas given RMS Velocity of Gas?

Molar Mass of Gas given RMS Velocity 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 RMS Velocity of Gas can be measured.

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Molar Mass of Gas given RMS Velocity of Gas Formula

​GoMolar Mass of Gas given Average Speed of Gas Formula

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

Molar Mass of Gas given RMS Velocity of Gas Example

Molar Mass of Gas given RMS Velocity of Gas Solution

Molar Mass of Gas given RMS Velocity 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 RMS Velocity of Gas?

FAQs on Molar Mass of Gas given RMS Velocity of Gas

Variable Name

GoMolar Mass of Gas given Average Speed of Gas Formula

GoMolar Mass of Gas given Most Probable Speed of Gas Formula