Critical Pressure given Van der Waals Constants Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Pressure = (Van der Waals Constant a/(27*(Van der Waals Constant b)^2))
Pc = (a/(27*(b)^2))
This formula uses 3 Variables
Variables Used
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
Van der Waals Constant a - (Measured in Pascal Square Kiloliter per Square Mole) - The Van der Waals Constant a depend upon the intermolecular force of attraction within the gas molecules.
Van der Waals Constant b - (Measured in Cubic Meter per Mole) - The Van der Waals Constant b along with the number of moles is the volume of the gas which is incompressible.
STEP 1: Convert Input(s) to Base Unit
Van der Waals Constant a: 2 Pascal Square Kiloliter per Square Mole --> 2 Pascal Square Kiloliter per Square Mole No Conversion Required
Van der Waals Constant b: 3 Liter per Mole --> 0.003 Cubic Meter per Mole (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pc = (a/(27*(b)^2)) --> (2/(27*(0.003)^2))
Evaluating ... ...
Pc = 8230.45267489712
STEP 3: Convert Result to Output's Unit
8230.45267489712 Pascal --> No Conversion Required
FINAL ANSWER
8230.45267489712 8230.453 Pascal <-- Critical Pressure
(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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National Institute of Information Technology (NIIT), Neemrana
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Van der Waals Constant Calculators

Van der Waals Constant b given Critical Temperature
​ LaTeX ​ Go Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R])
Van der Waals Constant b given Critical Pressure
​ LaTeX ​ Go Van der Waals Constant b = sqrt(Van der Waals Constant a/(27*Critical Pressure))
Van der Waals Constant b given Boyle Temperature
​ LaTeX ​ Go Van der Waals Constant b = (Van der Waals Constant a/([R]*Boyle Temperature))
Van der Waals Constant b given Critical Volume
​ LaTeX ​ Go Van der Waals Constant b = (Critical Volume/3)

Critical Pressure given Van der Waals Constants Formula

​LaTeX ​Go
Critical Pressure = (Van der Waals Constant a/(27*(Van der Waals Constant b)^2))
Pc = (a/(27*(b)^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 Critical Pressure given Van der Waals Constants?

Critical Pressure given Van der Waals Constants calculator uses Critical Pressure = (Van der Waals Constant a/(27*(Van der Waals Constant b)^2)) to calculate the Critical Pressure, The Critical pressure given Van der Waals constants formula is defined as the ratio of Vander Waal constant a to the square of the vander waal constant b. Critical Pressure is denoted by Pc symbol.

How to calculate Critical Pressure given Van der Waals Constants using this online calculator? To use this online calculator for Critical Pressure given Van der Waals Constants, enter Van der Waals Constant a (a) & Van der Waals Constant b (b) and hit the calculate button. Here is how the Critical Pressure given Van der Waals Constants calculation can be explained with given input values -> 8230.453 = (2/(27*(0.003)^2)).

FAQ

What is Critical Pressure given Van der Waals Constants?
The Critical pressure given Van der Waals constants formula is defined as the ratio of Vander Waal constant a to the square of the vander waal constant b and is represented as Pc = (a/(27*(b)^2)) or Critical Pressure = (Van der Waals Constant a/(27*(Van der Waals Constant b)^2)). The Van der Waals Constant a depend upon the intermolecular force of attraction within the gas molecules & The Van der Waals Constant b along with the number of moles is the volume of the gas which is incompressible.
How to calculate Critical Pressure given Van der Waals Constants?
The Critical pressure given Van der Waals constants formula is defined as the ratio of Vander Waal constant a to the square of the vander waal constant b is calculated using Critical Pressure = (Van der Waals Constant a/(27*(Van der Waals Constant b)^2)). To calculate Critical Pressure given Van der Waals Constants, you need Van der Waals Constant a (a) & Van der Waals Constant b (b). With our tool, you need to enter the respective value for Van der Waals Constant a & Van der Waals Constant b 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 Critical Pressure?
In this formula, Critical Pressure uses Van der Waals Constant a & Van der Waals Constant b. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Critical Pressure = (3/8)*(([R]*Critical Temperature)/Critical Volume)
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