Density of Gas given Root Mean Square Speed and Pressure Calculator

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Kinetic Theory of Gases	Density of Gas ↺

✖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 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%

✖The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas given Root Mean Square Speed and Pressure [ρ_gas]

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Formula

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Density of Gas given Root Mean Square Speed and Pressure

Formula

`"ρ"_{"gas"} = (3*"P"_{"gas"})/(("C"_{"RMS"})^2)`

Example

`"0.00645kg/m³"=(3*"0.215Pa")/(("10m/s")^2)`

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Density of Gas given Root Mean Square Speed and Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Gas = (3*Pressure of Gas)/((Root Mean Square Speed)^2)
ρ_gas = (3*P_gas)/((C_RMS)^2)
This formula uses 3 Variables

Variables Used

Density of Gas - (Measured in Kilogram per Cubic Meter) - The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_gas = (3*P_gas)/((C_RMS)^2) --> (3*0.215)/((10)^2)

Evaluating ... ...

ρ_gas = 0.00645

STEP 3: Convert Result to Output's Unit

0.00645 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.00645 Kilogram per Cubic Meter <-- Density of Gas

(Calculation completed in 00.000 seconds)

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Created by Prashant Singh

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

Prashant Singh has created this Calculator and 700+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 13 Density of Gas Calculators

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv

Go Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R]))

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp

Go Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R]))

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp

Go Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure)

Density given Thermal Pressure Coefficient, Compressibility Factors and Cv

Go Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume)

Density given Relative Size of Fluctuations in Particle Density

Go Density = sqrt(((Relative Size of Fluctuations/Volume))/([BoltZ]*Isothermal Compressibility*Temperature))

Density of Gas given Average Velocity and Pressure in 2D

Go Density of Gas = (pi*Pressure of Gas)/(2*((Average Velocity of Gas)^2))

Density of Gas given Average Velocity and Pressure

Go Density of Gas = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2))

Density of Gas given Root Mean Square Speed and Pressure in 2D

Go Density of Gas = (2*Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Root Mean Square Speed and Pressure

Go Density of Gas = (3*Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Most Probable Speed Pressure

Go Density of Gas = (2*Pressure of Gas)/((Most Probable Velocity)^2)

Density of Gas given Root Mean Square Speed and Pressure in 1D

Go Density of Gas = (Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Most Probable Speed Pressure in 2D

Go Density of Gas = (Pressure of Gas)/((Most Probable Velocity)^2)

Density of Material given Isentropic Compressibility

Go Density = 1/(Isentropic Compressibility*(Speed of Sound^2))

Density of Gas given Root Mean Square Speed and Pressure Formula

Density of Gas = (3*Pressure of Gas)/((Root Mean Square Speed)^2)
ρ_gas = (3*P_gas)/((C_RMS)^2)

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 Density of Gas given Root Mean Square Speed and Pressure?

Density of Gas given Root Mean Square Speed and Pressure calculator uses Density of Gas = (3*Pressure of Gas)/((Root Mean Square Speed)^2) to calculate the Density of Gas, The Density of gas given root mean square speed and pressure formula is defined as the ratio of pressure and mean square speed of the gas molecules. Density of Gas is denoted by ρ_gas symbol.

How to calculate Density of Gas given Root Mean Square Speed and Pressure using this online calculator? To use this online calculator for Density of Gas given Root Mean Square Speed and Pressure, enter Pressure of Gas (P_gas) & Root Mean Square Speed (C_RMS) and hit the calculate button. Here is how the Density of Gas given Root Mean Square Speed and Pressure calculation can be explained with given input values -> 0.00645 = (3*0.215)/((10)^2).

FAQ

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

The Density of gas given root mean square speed and pressure formula is defined as the ratio of pressure and mean square speed of the gas molecules and is represented as ρ_gas = (3*P_gas)/((C_RMS)^2) or Density of Gas = (3*Pressure of Gas)/((Root Mean Square Speed)^2). The pressure of Gas is the force that the gas exerts on the walls of its container & 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.

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

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

In this formula, Density of Gas uses Pressure of Gas & Root Mean Square Speed. We can use 6 other way(s) to calculate the same, which is/are as follows -

Density of Gas = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2))
Density of Gas = (2*Pressure of Gas)/((Most Probable Velocity)^2)
Density of Gas = (pi*Pressure of Gas)/(2*((Average Velocity of Gas)^2))
Density of Gas = (2*Pressure of Gas)/((Root Mean Square Speed)^2)
Density of Gas = (Pressure of Gas)/((Root Mean Square Speed)^2)
Density of Gas = (Pressure of Gas)/((Most Probable Velocity)^2)

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