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Van der Waals Constant given Critical Temperature Calculator

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✖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 b [b]			+10% -10%
✖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.ⓘ Critical Temperature [T_c]			+10% -10%

✖The Van der Waals Constant a depend upon the intermolecular force of attraction within the gas molecules.ⓘ Van der Waals Constant given Critical Temperature [a]

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Van der Waals Constant given Critical Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Van der Waals Constant a = (27*Van der Waals Constant b*[R]*Critical Temperature)/8
a = (27*b*[R]*T_c)/8
This formula uses 1 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
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 b: 3 Liter per Mole --> 0.003 Cubic Meter per Mole (Check conversion here)
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (27*b*[R]*T_c)/8 --> (27*0.003*[R]*647)/8

Evaluating ... ...

a = 54.4670053036946

STEP 3: Convert Result to Output's Unit

54.4670053036946 Pascal Square Kiloliter per Square Mole --> No Conversion Required

FINAL ANSWER

54.4670053036946 ≈ 54.46701 Pascal Square Kiloliter per Square Mole <-- Van der Waals Constant a

(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 given Critical Temperature Formula

LaTeX Go

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

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 given Critical Temperature?

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

How to calculate Van der Waals Constant given Critical Temperature using this online calculator? To use this online calculator for Van der Waals Constant given Critical Temperature, enter Van der Waals Constant b (b) & Critical Temperature (T_c) and hit the calculate button. Here is how the Van der Waals Constant given Critical Temperature calculation can be explained with given input values -> 54.46701 = (27*0.003*[R]*647)/8.

FAQ

What is Van der Waals Constant given Critical Temperature?

The Van der Waals constant given critical temperature formula is defined as the product of Vander Waal constant b and critical temperature and is represented as a = (27*b*[R]*T_c)/8 or Van der Waals Constant a = (27*Van der Waals Constant b*[R]*Critical Temperature)/8. The Van der Waals Constant b along with the number of moles is the volume of the gas which is incompressible & 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 given Critical Temperature?

The Van der Waals constant given critical temperature formula is defined as the product of Vander Waal constant b and critical temperature is calculated using Van der Waals Constant a = (27*Van der Waals Constant b*[R]*Critical Temperature)/8. To calculate Van der Waals Constant given Critical Temperature, you need Van der Waals Constant b (b) & Critical Temperature (T_c). With our tool, you need to enter the respective value for Van der Waals Constant b & 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 a?

In this formula, Van der Waals Constant a uses Van der Waals Constant b & Critical Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Van der Waals Constant a = (Boyle Temperature*[R]*Van der Waals Constant b)
Van der Waals Constant a = (27*Critical Pressure*(Van der Waals Constant b)^2)
Van der Waals Constant a = ((Inversion Temperature*[R]*Van der Waals Constant b)/2)

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