Pressure of Gas given most probable Speed and Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)
PCMS_V = (Mmolar*(Cmp)^2)/(2*Vg)
This formula uses 4 Variables
Variables Used
Pressure of Gas given CMS and V - (Measured in Pascal) - Pressure of Gas given CMS and V is the force that the gas exerts on the walls of its container.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Most Probable Velocity - (Measured in Meter per Second) - The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.
Volume of Gas for 1D and 2D - (Measured in Cubic Meter) - Volume of Gas for 1D and 2D is the amount of space that it occupies.
STEP 1: Convert Input(s) to Base Unit
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Most Probable Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Volume of Gas for 1D and 2D: 22.45 Liter --> 0.02245 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PCMS_V = (Mmolar*(Cmp)^2)/(2*Vg) --> (0.04401*(20)^2)/(2*0.02245)
Evaluating ... ...
PCMS_V = 392.07126948775
STEP 3: Convert Result to Output's Unit
392.07126948775 Pascal --> No Conversion Required
FINAL ANSWER
392.07126948775 392.0713 Pascal <-- Pressure of Gas given CMS and V
(Calculation completed in 00.020 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai
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20 Pressure of Gas Calculators

Pressure of Gas given Average Velocity and Volume in 2D
Go Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)
Pressure of Gas given Average Velocity and Volume
Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)
STP
Go Volume at STP = Volume*(Temperature at STP/Temperature)*(Pressure/Pressure at STP)
Pressure of Gas Molecules in 2D Box
Go Pressure of Gas = (1/2)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas Molecules in 3D Box
Go Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas Molecules in 1D Box
Go Pressure of Gas = ((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas given Compressibility Factor
Go Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas
Pressure of Gas given Most Probable Speed and Volume in 2D
Go Pressure of Gas given CMS and V in 2D = (Molar Mass*(Most Probable Velocity)^2)/(Volume of Gas for 1D and 2D)
Pressure of Gas given most probable Speed and Volume
Go Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)
Pressure of Gas given Average Velocity and Density in 2D
Go Pressure of Gas given AV and D = (Density of Gas*2*((Average Velocity of Gas)^2))/pi
Pressure of Gas given Average Velocity and Density
Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8
Pressure of Gas given Root Mean Square Speed and Volume in 2D
Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas)
Pressure of Gas given Root Mean Square Speed and Volume
Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas)
Pressure of Gas given Root Mean Square Speed and Volume in 1D
Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Volume of Gas)
Pressure of Gas given most probable Speed and Density
Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2
Pressure of Gas given most probable Speed and Density in 2D
Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))
Pressure of Gas given Root Mean Square Speed and Density in 2D
Go Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas given Root Mean Square Speed and Density
Go Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas given Root Mean Square Speed and Density in 1D
Go Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas given Kinetic Energy
Go Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)

15 Important Formulae on 1D Calculators

Pressure of Gas given Average Velocity and Volume
Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)
Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D
Go Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
Molar Mass of Gas given Average Velocity, Pressure, and Volume
Go Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))
Molar Mass of Gas given Temperature and Average Velocity in 1D
Go Molar Mass given AV and T = (pi*[R]*Temperature of Gas)/(2*(Average Velocity of Gas)^2)
Most Probable Velocity of Gas given Pressure and Volume
Go Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)
Most Probable Velocity of Gas given Temperature
Go Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)
Pressure of Gas given most probable Speed and Volume
Go Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)
Molar Mass of Gas given Root Mean Square Speed and Pressure in 2D
Go Molar Mass given S and V = (2*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
Molar Mass of gas given most probable Speed, Pressure and Volume
Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)
Molar Mass of Gas given Root Mean Square Speed and Pressure
Go Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
Pressure of Gas given Average Velocity and Density
Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8
Molar Mass given Most probable Speed and Temperature
Go Molar Mass given V and P = (2*[R]*Temperature of Gas)/((Most Probable Velocity)^2)
Most Probable Velocity of Gas given Pressure and Density
Go Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas)
Pressure of Gas given most probable Speed and Density
Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2
Most Probable Velocity of Gas given RMS Velocity
Go Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)

Pressure of Gas given most probable Speed and Volume Formula

Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)
PCMS_V = (Mmolar*(Cmp)^2)/(2*Vg)

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 most probable Speed and Volume?

Pressure of Gas given most probable Speed and Volume calculator uses Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D) to calculate the Pressure of Gas given CMS and V, The Pressure of gas given most probable speed and volume formula is defined as the ratio of the molar mass and square of the most probable velocity to the volume of the gas. Pressure of Gas given CMS and V is denoted by PCMS_V symbol.

How to calculate Pressure of Gas given most probable Speed and Volume using this online calculator? To use this online calculator for Pressure of Gas given most probable Speed and Volume, enter Molar Mass (Mmolar), Most Probable Velocity (Cmp) & Volume of Gas for 1D and 2D (Vg) and hit the calculate button. Here is how the Pressure of Gas given most probable Speed and Volume calculation can be explained with given input values -> 0.392946 = (0.04401*(20)^2)/(2*22.45).

FAQ

What is Pressure of Gas given most probable Speed and Volume?
The Pressure of gas given most probable speed and volume formula is defined as the ratio of the molar mass and square of the most probable velocity to the volume of the gas and is represented as PCMS_V = (Mmolar*(Cmp)^2)/(2*Vg) or Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D). Molar Mass is the mass of a given substance divided by the amount of substance, The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature & Volume of Gas for 1D and 2D is the amount of space that it occupies.
How to calculate Pressure of Gas given most probable Speed and Volume?
The Pressure of gas given most probable speed and volume formula is defined as the ratio of the molar mass and square of the most probable velocity to the volume of the gas is calculated using Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D). To calculate Pressure of Gas given most probable Speed and Volume, you need Molar Mass (Mmolar), Most Probable Velocity (Cmp) & Volume of Gas for 1D and 2D (Vg). With our tool, you need to enter the respective value for Molar Mass, Most Probable Velocity & Volume of Gas for 1D and 2D 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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