Length of Box given Force Calculator

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✖The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.ⓘ Mass per Molecule [m]			+10% -10%
✖The Speed of Particle is the amount of distance travelled by the particle per unit time.ⓘ Speed of Particle [u]			+10% -10%
✖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 box is the total distance from one end to other end, length is the longest side of rectangle.ⓘ Length of Box given Force [L_F]

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Formula

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Length of Box given Force

Formula

`"L"_{"F"} = ("m"*("u")^2)/"F"`

Example

`"18mm"=("0.2g"*("15m/s")^2)/"2.5N"`

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Length of Box given Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force
L_F = (m*(u)^2)/F
This formula uses 4 Variables

Variables Used

Length of Rectangular box - (Measured in Meter) - Length of Rectangular box 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.
Speed of Particle - (Measured in Meter per Second) - The Speed of Particle 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.

STEP 1: Convert Input(s) to Base Unit

Mass per Molecule: 0.2 Gram --> 0.0002 Kilogram (Check conversion here)
Speed of Particle: 15 Meter per Second --> 15 Meter per Second No Conversion Required
Force: 2.5 Newton --> 2.5 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_F = (m*(u)^2)/F --> (0.0002*(15)^2)/2.5

Evaluating ... ...

L_F = 0.018

STEP 3: Convert Result to Output's Unit

0.018 Meter -->18 Millimeter (Check conversion here)

FINAL ANSWER

18 Millimeter <-- Length of Rectangular box

(Calculation completed in 00.018 seconds)

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Home » Chemistry » Kinetic Theory of Gases » PIB » Length of Box given Force

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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National Institute of Information Technology (NIIT), Neemrana

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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

Length of Box given Force Formula

Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force
L_F = (m*(u)^2)/F

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 Length of Box given Force?

Length of Box given Force calculator uses Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force to calculate the Length of Rectangular box, The Length of box given force formula is defined as the product of the mass of a molecule and square of the speed of the particle and then divided by the force exerted by the particle. Length of Rectangular box is denoted by L_F symbol.

How to calculate Length of Box given Force using this online calculator? To use this online calculator for Length of Box given Force, enter Mass per Molecule (m), Speed of Particle (u) & Force (F) and hit the calculate button. Here is how the Length of Box given Force calculation can be explained with given input values -> 18000 = (0.0002*(15)^2)/2.5.

FAQ

What is Length of Box given Force?

The Length of box given force formula is defined as the product of the mass of a molecule and square of the speed of the particle and then divided by the force exerted by the particle and is represented as L_F = (m*(u)^2)/F or Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force. The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number, The Speed of Particle is the amount of distance travelled by the particle per unit time & Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.

How to calculate Length of Box given Force?

The Length of box given force formula is defined as the product of the mass of a molecule and square of the speed of the particle and then divided by the force exerted by the particle is calculated using Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force. To calculate Length of Box given Force, you need Mass per Molecule (m), Speed of Particle (u) & Force (F). With our tool, you need to enter the respective value for Mass per Molecule, Speed of Particle & Force 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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