Speed of Gas Molecule in 1D given Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule)
up = sqrt((Pgas*Vbox)/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 P - (Measured in Meter per Second) - Speed of Particle given P is the amount of distance travelled by the particle per unit time.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Volume of Rectangular Box - (Measured in Cubic Meter) - The Volume of Rectangular Box is the product of length, breadth, and height.
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
Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Volume of Rectangular Box: 4 Liter --> 0.004 Cubic 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
up = sqrt((Pgas*Vbox)/m) --> sqrt((0.215*0.004)/0.0002)
Evaluating ... ...
up = 2.07364413533277
STEP 3: Convert Result to Output's Unit
2.07364413533277 Meter per Second --> No Conversion Required
FINAL ANSWER
2.07364413533277 2.073644 Meter per Second <-- Speed of Particle given P
(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

Speed of Gas Molecule in 1D given Pressure Formula

Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule)
up = sqrt((Pgas*Vbox)/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 in 1D given Pressure?

Speed of Gas Molecule in 1D given Pressure calculator uses Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule) to calculate 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 up symbol.

How to calculate Speed of Gas Molecule in 1D given Pressure using this online calculator? To use this online calculator for Speed of Gas Molecule in 1D given Pressure, enter Pressure of Gas (Pgas), Volume of Rectangular Box (Vbox) & Mass per Molecule (m) and hit the calculate button. Here is how the Speed of Gas Molecule in 1D given Pressure calculation can be explained with given input values -> 2.073644 = sqrt((0.215*0.004)/0.0002).

FAQ

What is Speed of Gas Molecule in 1D given Pressure?
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 and is represented as up = sqrt((Pgas*Vbox)/m) or Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule). The pressure of Gas is the force that the gas exerts on the walls of its container, The Volume of Rectangular Box is the product of length, breadth, and height & 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 in 1D given Pressure?
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 is calculated using Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule). To calculate Speed of Gas Molecule in 1D given Pressure, you need Pressure of Gas (Pgas), Volume of Rectangular Box (Vbox) & Mass per Molecule (m). With our tool, you need to enter the respective value for Pressure of Gas, Volume of Rectangular Box & 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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