Pressure Exerted by Single Gas Molecule in 1D Calculator

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✖The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.ⓘ Mass per Molecule [m]			+10% -10%
✖The Speed of Particle is the amount of distance travelled by the particle per unit time.ⓘ Speed of Particle [u]			+10% -10%
✖The Volume of Rectangular Box is the product of length, breadth, and height.ⓘ Volume of Rectangular Box [V_box]			+10% -10%

✖The pressure of Gas in 1D is the force that the gas exerts on the walls of its container.ⓘ Pressure Exerted by Single Gas Molecule in 1D [P_{gas_1D}]

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Formula

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Pressure Exerted by Single Gas Molecule in 1D

Formula

`"P"_{"gas_1D"} = ("m"*("u")^2)/"V"_{"box"}`

Example

`"11.25Pa"=("0.2g"*("15m/s")^2)/"4L"`

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Pressure Exerted by Single Gas Molecule in 1D Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box
P_{gas_1D} = (m*(u)^2)/V_box
This formula uses 4 Variables

Variables Used

Pressure of Gas in 1D - (Measured in Pascal) - The pressure of Gas in 1D is the force that the gas exerts on the walls of its container.
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.
Volume of Rectangular Box - (Measured in Cubic Meter) - The Volume of Rectangular Box is the product of length, breadth, and height.

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
Volume of Rectangular Box: 4 Liter --> 0.004 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{gas_1D} = (m*(u)^2)/V_box --> (0.0002*(15)^2)/0.004

Evaluating ... ...

P_{gas_1D} = 11.25

STEP 3: Convert Result to Output's Unit

11.25 Pascal --> No Conversion Required

FINAL ANSWER

11.25 Pascal <-- Pressure of Gas in 1D

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

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

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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

Pressure Exerted by Single Gas Molecule in 1D Formula

Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box
P_{gas_1D} = (m*(u)^2)/V_box

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 Pressure Exerted by Single Gas Molecule in 1D?

Pressure Exerted by Single Gas Molecule in 1D calculator uses Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box to calculate the Pressure of Gas in 1D, The pressure exerted by Single gas molecule in 1D formula is defined as the average force on the gas molecule per unit area of the wall. Pressure of Gas in 1D is denoted by P_{gas_1D} symbol.

How to calculate Pressure Exerted by Single Gas Molecule in 1D using this online calculator? To use this online calculator for Pressure Exerted by Single Gas Molecule in 1D, enter Mass per Molecule (m), Speed of Particle (u) & Volume of Rectangular Box (V_box) and hit the calculate button. Here is how the Pressure Exerted by Single Gas Molecule in 1D calculation can be explained with given input values -> 11.25 = (0.0002*(15)^2)/0.004.

FAQ

What is Pressure Exerted by Single Gas Molecule in 1D?

The pressure exerted by Single gas molecule in 1D formula is defined as the average force on the gas molecule per unit area of the wall and is represented as P_{gas_1D} = (m*(u)^2)/V_box or Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box. 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 & The Volume of Rectangular Box is the product of length, breadth, and height.

How to calculate Pressure Exerted by Single Gas Molecule in 1D?

The pressure exerted by Single gas molecule in 1D formula is defined as the average force on the gas molecule per unit area of the wall is calculated using Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box. To calculate Pressure Exerted by Single Gas Molecule in 1D, you need Mass per Molecule (m), Speed of Particle (u) & Volume of Rectangular Box (V_box). With our tool, you need to enter the respective value for Mass per Molecule, Speed of Particle & Volume of Rectangular Box 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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