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Speed of Gas Molecule in 1D given Pressure Formula

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Speed of Particle given P is the amount of distance travelled by the particle per unit time. Check FAQs

u p = \sqrt{\frac{P gas \cdot V box}{m}}

u_p - Speed of Particle given P?P_gas - Pressure of Gas?V_box - Volume of Rectangular Box?m - Mass per Molecule?

Speed of Gas Molecule in 1D given Pressure Example

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Here is how the Speed of Gas Molecule in 1D given Pressure equation looks like with Values.

Here is how the Speed of Gas Molecule in 1D given Pressure equation looks like with Units.

Here is how the Speed of Gas Molecule in 1D given Pressure equation looks like.

2.0736 = \sqrt{\frac{0.215 \cdot 4}{0.2}}

2.0736m/s = \sqrt{\frac{0.215Pa \cdot 4L}{0.2g}}

2.0736 = \sqrt{\frac{0.215 \cdot 4}{0.2}}

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Speed of Gas Molecule in 1D given Pressure Solution

Follow our step by step solution on how to calculate Speed of Gas Molecule in 1D given Pressure?

FIRST Step Consider the formula

u p = \sqrt{\frac{P gas \cdot V box}{m}}

Next Step Substitute values of Variables

∴

u p = \sqrt{\frac{0.215Pa \cdot 4L}{0.2g}}

Next Step Convert Units

∴

u p = \sqrt{\frac{0.215Pa \cdot 0.004m³}{0.0002kg}}

Next Step Prepare to Evaluate

∴

u p = \sqrt{\frac{0.215 \cdot 0.004}{0.0002}}

Next Step Evaluate

∴

u p = 2.07364413533277m/s

LAST Step Rounding Answer

∴

u p = 2.0736m/s

Speed of Gas Molecule in 1D given Pressure Formula Elements

Variables

Functions

Speed of Particle given P

Speed of Particle given P is the amount of distance travelled by the particle per unit time.

Symbol: u_p

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Speed of Particle given P

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 Rectangular Box

The Volume of Rectangular Box is the product of length, breadth, and height.

Symbol: V_box

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume of Rectangular Box

Mass per Molecule

The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.

Symbol: m

Measurement: WeightUnit: g

Note: Value can be positive or negative.

Formulas to find Mass per Molecule

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 PIB category

Go Time between Collisions of Particle and Walls

t col = \frac{2 \cdot L}{u}

Go Speed of Particle in 3D Box

u 3D = \frac{2 \cdot L}{t}

Go Length of Rectangular Box given Time of Collision

L T_box = \frac{t \cdot u}{2}

Go Force by Gas Molecule on Wall of Box

F wall = \frac{m \cdot {(u)}^{2}}{L}

How to Evaluate Speed of Gas Molecule in 1D given Pressure?

Speed of Gas Molecule in 1D given Pressure evaluator uses Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule) to evaluate the Speed of Particle given P, The speed of gas molecule in 1D given pressure formula is defined as under root of the ratio of the pressure of gas multiplied by volume with the mass of the particle. Speed of Particle given P is denoted by u_p symbol.

How to evaluate Speed of Gas Molecule in 1D given Pressure using this online evaluator? To use this online evaluator for Speed of Gas Molecule in 1D given Pressure, enter Pressure of Gas (P_gas), Volume of Rectangular Box (V_box) & Mass per Molecule (m) and hit the calculate button.

FAQs on Speed of Gas Molecule in 1D given Pressure

What is the formula to find Speed of Gas Molecule in 1D given Pressure?

The formula of Speed of Gas Molecule in 1D given Pressure is expressed as Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule). Here is an example- 2.073644 = sqrt((0.215*0.004)/0.0002).

How to calculate Speed of Gas Molecule in 1D given Pressure?

With Pressure of Gas (P_gas), Volume of Rectangular Box (V_box) & Mass per Molecule (m) we can find Speed of Gas Molecule in 1D given Pressure using the formula - Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule). This formula also uses Square Root (sqrt) function(s).

Can the Speed of Gas Molecule in 1D given Pressure be negative?

Yes, the Speed of Gas Molecule in 1D given Pressure, measured in Speed can be negative.

Which unit is used to measure Speed of Gas Molecule in 1D given Pressure?

Speed of Gas Molecule in 1D given Pressure 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 Speed of Gas Molecule in 1D given Pressure can be measured.

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Speed of Gas Molecule in 1D given Pressure Formula

Speed of Gas Molecule in 1D given Pressure Example

Speed of Gas Molecule in 1D given Pressure Solution

Speed of Gas Molecule in 1D given Pressure Formula Elements

Other formulas in PIB category

How to Evaluate Speed of Gas Molecule in 1D given Pressure?

FAQs on Speed of Gas Molecule in 1D given Pressure

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