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Speed of Gas Molecule in 1D given Pressure Calculator

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✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_gas]			+10% -10%
✖The Volume of Rectangular Box is the product of length, breadth, and height.ⓘ Volume of Rectangular Box [V_box]			+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 P is the amount of distance travelled by the particle per unit time.ⓘ Speed of Gas Molecule in 1D given Pressure [u_p]

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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)
u_p = sqrt((P_gas*V_box)/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

u_p = sqrt((P_gas*V_box)/m) --> sqrt((0.215*0.004)/0.0002)

Evaluating ... ...

u_p = 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)

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Force by Gas Molecule on Wall of Box

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

Speed of Particle in 3D Box

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

Length of Rectangular Box given Time of Collision

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

Time between Collisions of Particle and Walls

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

Speed of Gas Molecule in 1D given Pressure Formula

LaTeX Go

Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule)
u_p = sqrt((P_gas*V_box)/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 u_p 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 (P_gas), Volume of Rectangular Box (V_box) & 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 u_p = sqrt((P_gas*V_box)/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 (P_gas), Volume of Rectangular Box (V_box) & 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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