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Most Probable Velocity of Gas given Pressure and Volume Formula

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Most Probable Velocity given P and V is the velocity possessed by a maximum fraction of molecules at the same temperature. Check FAQs

C P_V = \sqrt{\frac{2 \cdot P gas \cdot V}{M molar}}

C_{P_V} - Most Probable Velocity given P and V?P_gas - Pressure of Gas?V - Volume of Gas?M_molar - Molar Mass?

Most Probable Velocity of Gas given Pressure and Volume Example

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Here is how the Most Probable Velocity of Gas given Pressure and Volume equation looks like with Values.

Here is how the Most Probable Velocity of Gas given Pressure and Volume equation looks like with Units.

Here is how the Most Probable Velocity of Gas given Pressure and Volume equation looks like.

0.4678 = \sqrt{\frac{2 \cdot 0.215 \cdot 22.4}{44.01}}

0.4678m/s = \sqrt{\frac{2 \cdot 0.215Pa \cdot 22.4L}{44.01g/mol}}

0.4678 = \sqrt{\frac{2 \cdot 0.215 \cdot 22.4}{44.01}}

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Most Probable Velocity of Gas given Pressure and Volume Solution

Follow our step by step solution on how to calculate Most Probable Velocity of Gas given Pressure and Volume?

FIRST Step Consider the formula

C P_V = \sqrt{\frac{2 \cdot P gas \cdot V}{M molar}}

Next Step Substitute values of Variables

∴

C P_V = \sqrt{\frac{2 \cdot 0.215Pa \cdot 22.4L}{44.01g/mol}}

Next Step Convert Units

∴

C P_V = \sqrt{\frac{2 \cdot 0.215Pa \cdot 0.0224m³}{0.044kg/mol}}

Next Step Prepare to Evaluate

∴

C P_V = \sqrt{\frac{2 \cdot 0.215 \cdot 0.0224}{0.044}}

Next Step Evaluate

∴

C P_V = 0.467824058966289m/s

LAST Step Rounding Answer

∴

C P_V = 0.4678m/s

Most Probable Velocity of Gas given Pressure and Volume Formula Elements

Variables

Functions

Most Probable Velocity given P and V

Most Probable Velocity given P and V is the velocity possessed by a maximum fraction of molecules at the same temperature.

Symbol: C_{P_V}

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Most Probable Velocity given P and V

Pressure of Gas

The pressure of Gas is the force that the gas exerts on the walls of its container.

Symbol: P_gas

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas

Volume of Gas

The volume of Gas is the amount of space that it occupies.

Symbol: V

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume of Gas

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

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 Most Probable Velocity of Gas category

Go Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D

V RMS = \frac{P gas \cdot V}{N molecules \cdot m}

Go Molar Mass given Most probable Speed and Temperature

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

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 most probable Speed, Pressure and Volume

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

How to Evaluate Most Probable Velocity of Gas given Pressure and Volume?

Most Probable Velocity of Gas given Pressure and Volume evaluator uses Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass) to evaluate the Most Probable Velocity given P and V, The Most probable velocity of gas given pressure and volume formula is defined as the ratio of the square root of pressure and volume to the molar mass of the particular gas. Most Probable Velocity given P and V is denoted by C_{P_V} symbol.

How to evaluate Most Probable Velocity of Gas given Pressure and Volume using this online evaluator? To use this online evaluator for Most Probable Velocity of Gas given Pressure and Volume, enter Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar) and hit the calculate button.

FAQs on Most Probable Velocity of Gas given Pressure and Volume

What is the formula to find Most Probable Velocity of Gas given Pressure and Volume?

The formula of Most Probable Velocity of Gas given Pressure and Volume is expressed as Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass). Here is an example- 0.467824 = sqrt((2*0.215*0.0224)/0.04401).

How to calculate Most Probable Velocity of Gas given Pressure and Volume?

With Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar) we can find Most Probable Velocity of Gas given Pressure and Volume using the formula - Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass). This formula also uses Square Root (sqrt) function(s).

Can the Most Probable Velocity of Gas given Pressure and Volume be negative?

Yes, the Most Probable Velocity of Gas given Pressure and Volume, measured in Speed can be negative.

Which unit is used to measure Most Probable Velocity of Gas given Pressure and Volume?

Most Probable Velocity of Gas given Pressure and Volume 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 Velocity of Gas given Pressure and Volume can be measured.

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Most Probable Velocity of Gas given Pressure and Volume Formula

Most Probable Velocity of Gas given Pressure and Volume Example

Most Probable Velocity of Gas given Pressure and Volume Solution

Most Probable Velocity of Gas given Pressure and Volume Formula Elements

Other formulas in Most Probable Velocity of Gas category

How to Evaluate Most Probable Velocity of Gas given Pressure and Volume?

FAQs on Most Probable Velocity of Gas given Pressure and Volume

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