Van der Waals Constant b given Critical Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Van der Waals Constant b = sqrt(Van der Waals Constant a/(27*Critical Pressure))
b = sqrt(a/(27*Pc))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
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
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = sqrt(a/(27*Pc)) --> sqrt(2/(27*218))
Evaluating ... ...
b = 0.0184333754536444
STEP 3: Convert Result to Output's Unit
0.0184333754536444 Cubic Meter per Mole -->18.4333754536444 Liter per Mole (Check conversion ​here)
FINAL ANSWER
18.4333754536444 18.43338 Liter per Mole <-- Van der Waals Constant b
(Calculation completed in 00.020 seconds)

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

Van der Waals Constant b given Critical Pressure Formula

​LaTeX ​Go
Van der Waals Constant b = sqrt(Van der Waals Constant a/(27*Critical Pressure))
b = sqrt(a/(27*Pc))

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 Van der Waals Constant b given Critical Pressure?

Van der Waals Constant b given Critical Pressure calculator uses Van der Waals Constant b = sqrt(Van der Waals Constant a/(27*Critical Pressure)) to calculate the Van der Waals Constant b, The Van der Waals constant b given critical pressure formula is defined as the ratio of the square root of Vander Waal constant a to the critical pressure. Van der Waals Constant b is denoted by b symbol.

How to calculate Van der Waals Constant b given Critical Pressure using this online calculator? To use this online calculator for Van der Waals Constant b given Critical Pressure, enter Van der Waals Constant a (a) & Critical Pressure (Pc) and hit the calculate button. Here is how the Van der Waals Constant b given Critical Pressure calculation can be explained with given input values -> 18433.38 = sqrt(2/(27*218)).

FAQ

What is Van der Waals Constant b given Critical Pressure?
The Van der Waals constant b given critical pressure formula is defined as the ratio of the square root of Vander Waal constant a to the critical pressure and is represented as b = sqrt(a/(27*Pc)) or Van der Waals Constant b = sqrt(Van der Waals Constant a/(27*Critical Pressure)). The Van der Waals Constant a depend upon the intermolecular force of attraction within the gas molecules & Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
How to calculate Van der Waals Constant b given Critical Pressure?
The Van der Waals constant b given critical pressure formula is defined as the ratio of the square root of Vander Waal constant a to the critical pressure is calculated using Van der Waals Constant b = sqrt(Van der Waals Constant a/(27*Critical Pressure)). To calculate Van der Waals Constant b given Critical Pressure, you need Van der Waals Constant a (a) & Critical Pressure (Pc). With our tool, you need to enter the respective value for Van der Waals Constant a & Critical Pressure 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 Van der Waals Constant b?
In this formula, Van der Waals Constant b uses Van der Waals Constant a & Critical Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Van der Waals Constant b = (Van der Waals Constant a/([R]*Boyle Temperature))
  • Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R])
  • Van der Waals Constant b = (Critical Volume/3)
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