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Most Probable Speed Formula

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Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed. Check FAQs

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

V_p - Most Probable Speed?T_ga - Temperature of Gas A?M_molar - Molar Mass?[R] - Universal gas constant?

Most Probable Speed Example

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Here is how the Most Probable Speed equation looks like with Values.

Here is how the Most Probable Speed equation looks like with Units.

Here is how the Most Probable Speed equation looks like.

130.3955 = \sqrt{\frac{2 \cdot 8.3145 \cdot 45}{44.01}}

130.3955m/s = \sqrt{\frac{2 \cdot 8.3145 \cdot 45K}{44.01g/mol}}

130.3955 = \sqrt{\frac{2 \cdot 8.3145 \cdot 45}{44.01}}

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Most Probable Speed Solution

Follow our step by step solution on how to calculate Most Probable Speed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V p = \sqrt{\frac{2 \cdot [R] \cdot 45K}{44.01g/mol}}

Next Step Substitute values of Constants

∴

V p = \sqrt{\frac{2 \cdot 8.3145 \cdot 45K}{44.01g/mol}}

Next Step Convert Units

∴

V p = \sqrt{\frac{2 \cdot 8.3145 \cdot 45K}{0.044kg/mol}}

Next Step Prepare to Evaluate

∴

V p = \sqrt{\frac{2 \cdot 8.3145 \cdot 45}{0.044}}

Next Step Evaluate

∴

V p = 130.395517711186m/s

LAST Step Rounding Answer

∴

V p = 130.3955m/s

Most Probable Speed Formula Elements

Variables

Constants

Functions

Most Probable Speed

Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed.

Symbol: V_p

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Most Probable Speed

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

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

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

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.

Syntax: sqrt(Number)

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 Molar Mass of Gas given Average Speed of Gas

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

How to Evaluate Most Probable Speed?

Most Probable Speed evaluator uses Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass) to evaluate the Most Probable Speed, Most Probable Speed formula is defined as a representation of the speed at which the maximum number of molecules in a gas are likely to be found, reflecting the relationship between temperature, gas constant, and molar mass. Most Probable Speed is denoted by V_p symbol.

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

FAQs on Most Probable Speed

What is the formula to find Most Probable Speed?

The formula of Most Probable Speed is expressed as Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass). Here is an example- 130.3955 = sqrt((2*[R]*45)/0.04401).

How to calculate Most Probable Speed?

With Temperature of Gas A (T_ga) & Molar Mass (M_molar) we can find Most Probable Speed using the formula - Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass). This formula also uses Universal gas constant and Square Root (sqrt) function(s).

Can the Most Probable Speed be negative?

Yes, the Most Probable Speed, measured in Speed can be negative.

Which unit is used to measure Most Probable Speed?

Most Probable Speed is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Most Probable Speed can be measured.

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Most Probable Speed Formula

Most Probable Speed Example

Most Probable Speed Solution

Most Probable Speed Formula Elements

Other formulas in Factors of Thermodynamics category

How to Evaluate Most Probable Speed?

FAQs on Most Probable Speed

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