Speed of Gas Molecule given Force Calculator

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✖Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.ⓘ Force [F]			+10% -10%
✖Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.ⓘ Length of Rectangular Section [L]			+10% -10%
✖The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.ⓘ Mass per Molecule [m]			+10% -10%

✖Speed of Particle given F is the amount of distance travelled by the particle per unit time.ⓘ Speed of Gas Molecule given Force [u_F]

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Formula

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Speed of Gas Molecule given Force

Formula

`"u"_{"F"} = sqrt(("F"*"L")/"m")`

Example

`"136.9306m/s"=sqrt(("2.5N"*"1500mm")/"0.2g")`

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Speed of Gas Molecule given Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule)
u_F = sqrt((F*L)/m)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Speed of Particle given F - (Measured in Meter per Second) - Speed of Particle given F is the amount of distance travelled by the particle per unit time.
Force - (Measured in Newton) - Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.
Length of Rectangular Section - (Measured in Meter) - Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.
Mass per Molecule - (Measured in Kilogram) - The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.

STEP 1: Convert Input(s) to Base Unit

Force: 2.5 Newton --> 2.5 Newton No Conversion Required
Length of Rectangular Section: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Mass per Molecule: 0.2 Gram --> 0.0002 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_F = sqrt((F*L)/m) --> sqrt((2.5*1.5)/0.0002)

Evaluating ... ...

u_F = 136.930639376292

STEP 3: Convert Result to Output's Unit

136.930639376292 Meter per Second --> No Conversion Required

FINAL ANSWER

136.930639376292 ≈ 136.9306 Meter per Second <-- Speed of Particle given F

(Calculation completed in 00.007 seconds)

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< 18 PIB Calculators

Number of Moles of Gas 1 given Kinetic Energy of both Gases

Go Number of Moles given KE of Two Gases = (Kinetic Energy of Gas 1/Kinetic Energy of Gas 2)*Number of Moles of Gas 2*(Temperature of Gas 2/Temperature of Gas 1)

Number of Moles of Gas 2 given Kinetic Energy of both Gases

Go Number of Moles given KE of Two Gases = Number of Moles of Gas 1*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1)*(Temperature of Gas 1/Temperature of Gas 2)

Mass of Each Gas Molecule in 3D Box given Pressure

Go Mass per Molecule given P = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*(Root Mean Square Speed)^2)

Mass of Each Gas Molecule in 2D Box given Pressure

Go Mass per Molecule given P = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*(Root Mean Square Speed)^2)

Number of Gas Molecules in 3D Box given Pressure

Go Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)

Number of Gas Molecules in 2D Box given Pressure

Go Number of Molecules given P = (2*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)

Speed of Gas Molecule in 1D given Pressure

Go Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule)

Speed of Gas Molecule given Force

Go Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule)

Volume of Box having Gas Molecule given Pressure

Go Volume of Rectangular Box given P = (Mass per Molecule*(Speed of Particle)^2)/Pressure of Gas

Mass of Gas Molecule in 1D given Pressure

Go Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2

Pressure Exerted by Single Gas Molecule in 1D

Go Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box

Force by Gas Molecule on Wall of Box

Go Force on a wall = (Mass per Molecule*(Speed of Particle)^2)/Length of Rectangular Section

Mass of Gas Molecule given Force

Go Mass per Molecule given F = (Force*Length of Rectangular Section)/((Speed of Particle)^2)

Length of Box given Force

Go Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force

Number of Moles given Kinetic Energy

Go Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature))

Speed of Particle in 3D Box

Go Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision

Length of Rectangular Box given Time of Collision

Go Length of Rectangular box given T = (Time between Collision*Speed of Particle)/2

Time between Collisions of Particle and Walls

Go Time of Collision = (2*Length of Rectangular Section)/Speed of Particle

Speed of Gas Molecule given Force Formula

Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule)
u_F = sqrt((F*L)/m)

What are postulates of Kinetic molecular theory of gas?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas.
2) no force of attraction between the gas molecules.
3) Particles of gas are in constant random motion.
4) Particles of gas collide with each other and with the walls of the container.
5)Collisions are perfectly elastic.
6) Different particles of the gas, have different speeds.
7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Speed of Gas Molecule given Force?

Speed of Gas Molecule given Force calculator uses Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule) to calculate the Speed of Particle given F, The speed of gas molecule given force formula is defined as the square root of the product of the length of rectangular box and force per mass of the particle. Speed of Particle given F is denoted by u_F symbol.

How to calculate Speed of Gas Molecule given Force using this online calculator? To use this online calculator for Speed of Gas Molecule given Force, enter Force (F), Length of Rectangular Section (L) & Mass per Molecule (m) and hit the calculate button. Here is how the Speed of Gas Molecule given Force calculation can be explained with given input values -> 136.9306 = sqrt((2.5*1.5)/0.0002).

FAQ

What is Speed of Gas Molecule given Force?

The speed of gas molecule given force formula is defined as the square root of the product of the length of rectangular box and force per mass of the particle and is represented as u_F = sqrt((F*L)/m) or Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule). Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system, Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle & The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.

How to calculate Speed of Gas Molecule given Force?

The speed of gas molecule given force formula is defined as the square root of the product of the length of rectangular box and force per mass of the particle is calculated using Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule). To calculate Speed of Gas Molecule given Force, you need Force (F), Length of Rectangular Section (L) & Mass per Molecule (m). With our tool, you need to enter the respective value for Force, Length of Rectangular Section & Mass per Molecule and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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