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Pressure of Gas given Root Mean Square Speed and Volume Calculator

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✖The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.ⓘ Root Mean Square Speed [C_RMS]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%
✖The volume of Gas is the amount of space that it occupies.ⓘ Volume of Gas [V_gas]			+10% -10%

✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas given Root Mean Square Speed and Volume [P_gas]

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Pressure of Gas given Root Mean Square Speed and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas)
P_gas = ((C_RMS)^2)*M_molar/(3*V_gas)
This formula uses 4 Variables

Variables Used

Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Root Mean Square Speed - (Measured in Meter per Second) - The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.

STEP 1: Convert Input(s) to Base Unit

Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_gas = ((C_RMS)^2)*M_molar/(3*V_gas) --> ((10)^2)*0.04401/(3*0.0224)

Evaluating ... ...

P_gas = 65.4910714285714

STEP 3: Convert Result to Output's Unit

65.4910714285714 Pascal --> No Conversion Required

FINAL ANSWER

65.4910714285714 ≈ 65.49107 Pascal <-- Pressure of Gas

(Calculation completed in 00.020 seconds)

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Pressure of Gas given Root Mean Square Speed and Volume Formula

LaTeX Go

Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas)
P_gas = ((C_RMS)^2)*M_molar/(3*V_gas)

What are the postulates of kinetic theory of gases?

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 of Gas given Root Mean Square Speed and Volume?

Pressure of Gas given Root Mean Square Speed and Volume calculator uses Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas) to calculate the Pressure of Gas, The Pressure of gas given root mean square speed and Volume formula is defined as the ratio of mean square speed and molar mass to the volume of the gas. Pressure of Gas is denoted by P_gas symbol.

How to calculate Pressure of Gas given Root Mean Square Speed and Volume using this online calculator? To use this online calculator for Pressure of Gas given Root Mean Square Speed and Volume, enter Root Mean Square Speed (C_RMS), Molar Mass (M_molar) & Volume of Gas (V_gas) and hit the calculate button. Here is how the Pressure of Gas given Root Mean Square Speed and Volume calculation can be explained with given input values -> 65.49107 = ((10)^2)*0.04401/(3*0.0224).

FAQ

What is Pressure of Gas given Root Mean Square Speed and Volume?

The Pressure of gas given root mean square speed and Volume formula is defined as the ratio of mean square speed and molar mass to the volume of the gas and is represented as P_gas = ((C_RMS)^2)*M_molar/(3*V_gas) or Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas). The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values, Molar Mass is the mass of a given substance divided by the amount of substance & The volume of Gas is the amount of space that it occupies.

How to calculate Pressure of Gas given Root Mean Square Speed and Volume?

The Pressure of gas given root mean square speed and Volume formula is defined as the ratio of mean square speed and molar mass to the volume of the gas is calculated using Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas). To calculate Pressure of Gas given Root Mean Square Speed and Volume, you need Root Mean Square Speed (C_RMS), Molar Mass (M_molar) & Volume of Gas (V_gas). With our tool, you need to enter the respective value for Root Mean Square Speed, Molar Mass & Volume of Gas 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 Pressure of Gas?

In this formula, Pressure of Gas uses Root Mean Square Speed, Molar Mass & Volume of Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)
Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))

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