Speed of Particle in 3D Box Calculator

↳

⤿

✖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 Time between Collision is the measurement of the amount of time until the collision occurs.ⓘ Time between Collision [t]			+10% -10%

✖Speed of Particle given in 3D is the amount of distance travelled by the particle per unit time.ⓘ Speed of Particle in 3D Box [u_3D]

⎘ Copy

👎

Formula

✖

Speed of Particle in 3D Box

Formula

`"u"_{"3D"} = (2*"L")/"t"`

Example

`"0.15m/s"=(2*"1500mm")/"20s"`

Calculator

LaTeX

Reset

👍

Download PIB Formulas PDF

Speed of Particle in 3D Box Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision
u_3D = (2*L)/t
This formula uses 3 Variables

Variables Used

Speed of Particle given in 3D - (Measured in Meter per Second) - Speed of Particle given in 3D is the amount of distance travelled by the particle per unit time.
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.
Time between Collision - (Measured in Second) - The Time between Collision is the measurement of the amount of time until the collision occurs.

STEP 1: Convert Input(s) to Base Unit

Length of Rectangular Section: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Time between Collision: 20 Second --> 20 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_3D = (2*L)/t --> (2*1.5)/20

Evaluating ... ...

u_3D = 0.15

STEP 3: Convert Result to Output's Unit

0.15 Meter per Second --> No Conversion Required

FINAL ANSWER

0.15 Meter per Second <-- Speed of Particle given in 3D

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Kinetic Theory of Gases » PIB » Speed of Particle in 3D Box

Credits

Created by Prashant Singh

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

Prashant Singh has created this Calculator and 700+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 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 Particle in 3D Box Formula

Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision
u_3D = (2*L)/t

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 Particle in 3D Box?

Speed of Particle in 3D Box calculator uses Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision to calculate the Speed of Particle given in 3D, The speed of particle in 3D box formula is defined as a ratio of twice the length of the rectangular box and the time between the collision. Speed of Particle given in 3D is denoted by u_3D symbol.

How to calculate Speed of Particle in 3D Box using this online calculator? To use this online calculator for Speed of Particle in 3D Box, enter Length of Rectangular Section (L) & Time between Collision (t) and hit the calculate button. Here is how the Speed of Particle in 3D Box calculation can be explained with given input values -> 0.15 = (2*1.5)/20.

FAQ

What is Speed of Particle in 3D Box?

The speed of particle in 3D box formula is defined as a ratio of twice the length of the rectangular box and the time between the collision and is represented as u_3D = (2*L)/t or Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision. Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle & The Time between Collision is the measurement of the amount of time until the collision occurs.

How to calculate Speed of Particle in 3D Box?

The speed of particle in 3D box formula is defined as a ratio of twice the length of the rectangular box and the time between the collision is calculated using Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision. To calculate Speed of Particle in 3D Box, you need Length of Rectangular Section (L) & Time between Collision (t). With our tool, you need to enter the respective value for Length of Rectangular Section & Time between Collision and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search