Force by Gas Molecule on Wall of Box Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force on a wall = (Mass per Molecule*(Speed of Particle)^2)/Length of Rectangular Section
Fwall = (m*(u)^2)/L
This formula uses 4 Variables
Variables Used
Force on a wall - (Measured in Newton) - Force on a wall is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
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.
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.
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
Length of Rectangular Section: 1500 Millimeter --> 1.5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fwall = (m*(u)^2)/L --> (0.0002*(15)^2)/1.5
Evaluating ... ...
Fwall = 0.03
STEP 3: Convert Result to Output's Unit
0.03 Newton --> No Conversion Required
FINAL ANSWER
0.03 Newton <-- Force on a wall
(Calculation completed in 00.004 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Verified by Akshada Kulkarni
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

Force by Gas Molecule on Wall of Box Formula

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

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 Force by Gas Molecule on Wall of Box?

Force by Gas Molecule on Wall of Box calculator uses Force on a wall = (Mass per Molecule*(Speed of Particle)^2)/Length of Rectangular Section to calculate the Force on a wall, The Force by gas molecule on wall of box formula is defined as the rate of change of momentum of the gaseous molecule with respect to time. Force on a wall is denoted by Fwall symbol.

How to calculate Force by Gas Molecule on Wall of Box using this online calculator? To use this online calculator for Force by Gas Molecule on Wall of Box, enter Mass per Molecule (m), Speed of Particle (u) & Length of Rectangular Section (L) and hit the calculate button. Here is how the Force by Gas Molecule on Wall of Box calculation can be explained with given input values -> 0.03 = (0.0002*(15)^2)/1.5.

FAQ

What is Force by Gas Molecule on Wall of Box?
The Force by gas molecule on wall of box formula is defined as the rate of change of momentum of the gaseous molecule with respect to time and is represented as Fwall = (m*(u)^2)/L or Force on a wall = (Mass per Molecule*(Speed of Particle)^2)/Length of Rectangular Section. 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 & Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.
How to calculate Force by Gas Molecule on Wall of Box?
The Force by gas molecule on wall of box formula is defined as the rate of change of momentum of the gaseous molecule with respect to time is calculated using Force on a wall = (Mass per Molecule*(Speed of Particle)^2)/Length of Rectangular Section. To calculate Force by Gas Molecule on Wall of Box, you need Mass per Molecule (m), Speed of Particle (u) & Length of Rectangular Section (L). With our tool, you need to enter the respective value for Mass per Molecule, Speed of Particle & Length of Rectangular Section 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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