Van der Waals Constant b given Critical Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R])
b = (8*a)/(27*Tc*[R])
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
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 Temperature - (Measured in Kelvin) - Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.
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 Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = (8*a)/(27*Tc*[R]) --> (8*2)/(27*647*[R])
Evaluating ... ...
b = 0.000110158433836145
STEP 3: Convert Result to Output's Unit
0.000110158433836145 Cubic Meter per Mole -->0.110158433836145 Liter per Mole (Check conversion here)
FINAL ANSWER
0.110158433836145 0.110158 Liter per Mole <-- Van der Waals Constant b
(Calculation completed in 00.004 seconds)

Credits

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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18 Van der Waals Constant Calculators

Van der Waals Constant b given Inversion Temperature and Boltzmann Constant
Go Van der Waals Constant b = (2*Van der Waals Constant a)/(Inversion Temperature*[BoltZ])
Van der Waals Constant given Inversion Temperature and Boltzmann Constant
Go Van der Waals Constant a = ((Inversion Temperature*Van der Waals Constant b*[BoltZ])/2)
Van der Waals Constant b given Critical Temperature
Go Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R])
Critical Temperature given Van der Waals Constants
Go Critical Temperature = (8*Van der Waals Constant a)/(27*Van der Waals Constant b*[R])
Van der Waals Constant b given Inversion Temperature
Go Van der Waals Constant b = (2*Van der Waals Constant a)/(Inversion Temperature*[R])
Van der Waals Constant given Inversion Temperature
Go Van der Waals Constant a = ((Inversion Temperature*[R]*Van der Waals Constant b)/2)
Van der Waals Constant given Critical Temperature
Go Van der Waals Constant a = (27*Van der Waals Constant b*[R]*Critical Temperature)/8
Van der Waals Constant b given Critical Pressure
Go Van der Waals Constant b = sqrt(Van der Waals Constant a/(27*Critical Pressure))
Van der Waals Constant b given Boyle Temperature
Go Van der Waals Constant b = (Van der Waals Constant a/([R]*Boyle Temperature))
Boyle Temperature given Vander Waal Constants
Go Boyle Temperature = (Van der Waals Constant a/([R]*Van der Waals Constant b))
Van der Waals Constant given Boyle Temperature
Go Van der Waals Constant a = (Boyle Temperature*[R]*Van der Waals Constant b)
Critical Temperature without use of Van der Waals Constant
Go Critical Temperature = (8/3)*((Critical Pressure*Critical Volume)/[R])
Critical Pressure without use of Van der Waals Constants
Go Critical Pressure = (3/8)*(([R]*Critical Temperature)/Critical Volume)
Critical Volume without use of Van der Waals Constant
Go Critical Volume = (3/8)*(([R]*Critical Temperature)/Critical Pressure)
Critical Pressure given Van der Waals Constants
Go Critical Pressure = (Van der Waals Constant a/(27*(Van der Waals Constant b)^2))
Van der Waals Constant given Critical Pressure
Go Van der Waals Constant a = (27*Critical Pressure*(Van der Waals Constant b)^2)
Van der Waals Constant b given Critical Volume
Go Van der Waals Constant b = (Critical Volume/3)
Critical Volume given Van der Waals Constant b
Go Critical Volume = (3*Van der Waals Constant b)

Van der Waals Constant b given Critical Temperature Formula

Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R])
b = (8*a)/(27*Tc*[R])

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 Temperature?

Van der Waals Constant b given Critical Temperature calculator uses Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R]) to calculate the Van der Waals Constant b, The Van der Waals constant b given critical temperature formula is defined as the ratio of Vander Waal constant a to the critical temperature of the respective gas. Van der Waals Constant b is denoted by b symbol.

How to calculate Van der Waals Constant b given Critical Temperature using this online calculator? To use this online calculator for Van der Waals Constant b given Critical Temperature, enter Van der Waals Constant a (a) & Critical Temperature (Tc) and hit the calculate button. Here is how the Van der Waals Constant b given Critical Temperature calculation can be explained with given input values -> 110.1584 = (8*2)/(27*647*[R]).

FAQ

What is Van der Waals Constant b given Critical Temperature?
The Van der Waals constant b given critical temperature formula is defined as the ratio of Vander Waal constant a to the critical temperature of the respective gas and is represented as b = (8*a)/(27*Tc*[R]) or Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R]). The Van der Waals Constant a depend upon the intermolecular force of attraction within the gas molecules & Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.
How to calculate Van der Waals Constant b given Critical Temperature?
The Van der Waals constant b given critical temperature formula is defined as the ratio of Vander Waal constant a to the critical temperature of the respective gas is calculated using Van der Waals Constant b = (8*Van der Waals Constant a)/(27*Critical Temperature*[R]). To calculate Van der Waals Constant b given Critical Temperature, you need Van der Waals Constant a (a) & Critical Temperature (Tc). With our tool, you need to enter the respective value for Van der Waals Constant a & Critical Temperature 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 Temperature. We can use 5 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 = sqrt(Van der Waals Constant a/(27*Critical Pressure))
  • Van der Waals Constant b = (Critical Volume/3)
  • Van der Waals Constant b = (2*Van der Waals Constant a)/(Inversion Temperature*[R])
  • Van der Waals Constant b = (2*Van der Waals Constant a)/(Inversion Temperature*[BoltZ])
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