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Mass 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 Speed of Particle is the amount of distance travelled by the particle per unit time.ⓘ Speed of Particle [u]			+10% -10%

✖Mass per Molecule given P is defined as the molar mass of the molecule divided by the Avogadro number.ⓘ Mass of Gas Molecule in 1D given Pressure [m_P]

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Mass of Gas Molecule in 1D given Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2
m_P = (P_gas*V_box)/(u)^2
This formula uses 4 Variables

Variables Used

Mass per Molecule given P - (Measured in Kilogram) - Mass per Molecule given P is defined as the molar mass of the molecule divided by the Avogadro number.
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.
Speed of Particle - (Measured in Meter per Second) - The Speed of Particle is the amount of distance travelled by the particle per unit time.

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)
Speed of Particle: 15 Meter per Second --> 15 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_P = (P_gas*V_box)/(u)^2 --> (0.215*0.004)/(15)^2

Evaluating ... ...

m_P = 3.82222222222222E-06

STEP 3: Convert Result to Output's Unit

3.82222222222222E-06 Kilogram -->0.00382222222222222 Gram (Check conversion here)

FINAL ANSWER

0.00382222222222222 ≈ 0.003822 Gram <-- Mass per Molecule given P

(Calculation completed in 00.020 seconds)

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Created by Prashant Singh

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

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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

Mass of Gas Molecule in 1D given Pressure Formula

LaTeX Go

Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2
m_P = (P_gas*V_box)/(u)^2

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 Mass of Gas Molecule in 1D given Pressure?

Mass of Gas Molecule in 1D given Pressure calculator uses Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2 to calculate the Mass per Molecule given P, The Mass of gas molecule in 1D given pressure formula is defined as product of the pressure of gas and volume of the box divided by the square of the speed of the particles. Mass per Molecule given P is denoted by m_P symbol.

How to calculate Mass of Gas Molecule in 1D given Pressure using this online calculator? To use this online calculator for Mass of Gas Molecule in 1D given Pressure, enter Pressure of Gas (P_gas), Volume of Rectangular Box (V_box) & Speed of Particle (u) and hit the calculate button. Here is how the Mass of Gas Molecule in 1D given Pressure calculation can be explained with given input values -> 3.8E-6 = (0.215*0.004)/(15)^2.

FAQ

What is Mass of Gas Molecule in 1D given Pressure?

The Mass of gas molecule in 1D given pressure formula is defined as product of the pressure of gas and volume of the box divided by the square of the speed of the particles and is represented as m_P = (P_gas*V_box)/(u)^2 or Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2. 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 Speed of Particle is the amount of distance travelled by the particle per unit time.

How to calculate Mass of Gas Molecule in 1D given Pressure?

The Mass of gas molecule in 1D given pressure formula is defined as product of the pressure of gas and volume of the box divided by the square of the speed of the particles is calculated using Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2. To calculate Mass of Gas Molecule in 1D given Pressure, you need Pressure of Gas (P_gas), Volume of Rectangular Box (V_box) & Speed of Particle (u). With our tool, you need to enter the respective value for Pressure of Gas, Volume of Rectangular Box & Speed of Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mass per Molecule given P?

In this formula, Mass per Molecule given P uses Pressure of Gas, Volume of Rectangular Box & Speed of Particle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Mass per Molecule given P = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*(Root Mean Square Speed)^2)
Mass per Molecule given P = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*(Root Mean Square Speed)^2)

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