Van der Waals Constant given Critical Pressure Calculator

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✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%
✖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%

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

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Formula

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Van der Waals Constant given Critical Pressure

Formula

`"a" = (27*"P"_{"c"}*("b")^2)`

Example

`"0.052974Pa*kL²/mol²"=(27*"218Pa"*("3L/mol")^2)`

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Van der Waals Constant given Critical Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Van der Waals Constant a = (27*Critical Pressure*(Van der Waals Constant b)^2)
a = (27*P_c*(b)^2)
This formula uses 3 Variables

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.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
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

Critical Pressure: 218 Pascal --> 218 Pascal 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

a = (27*P_c*(b)^2) --> (27*218*(0.003)^2)

Evaluating ... ...

a = 0.052974

STEP 3: Convert Result to Output's Unit

0.052974 Pascal Square Kiloliter per Square Mole --> No Conversion Required

FINAL ANSWER

0.052974 Pascal Square Kiloliter per Square Mole <-- Van der Waals Constant a

(Calculation completed in 00.004 seconds)

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

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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 given Critical Pressure Formula

Van der Waals Constant a = (27*Critical Pressure*(Van der Waals Constant b)^2)
a = (27*P_c*(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 Van der Waals Constant given Critical Pressure?

Van der Waals Constant given Critical Pressure calculator uses Van der Waals Constant a = (27*Critical Pressure*(Van der Waals Constant b)^2) to calculate the Van der Waals Constant a, The Van der Waals constant given critical pressure formula is defined as the product of critical pressure and the square of the Vander waal constant b. Van der Waals Constant a is denoted by a symbol.

How to calculate Van der Waals Constant given Critical Pressure using this online calculator? To use this online calculator for Van der Waals Constant given Critical Pressure, enter Critical Pressure (P_c) & Van der Waals Constant b (b) and hit the calculate button. Here is how the Van der Waals Constant given Critical Pressure calculation can be explained with given input values -> 0.052974 = (27*218*(0.003)^2).

FAQ

What is Van der Waals Constant given Critical Pressure?

The Van der Waals constant given critical pressure formula is defined as the product of critical pressure and the square of the Vander waal constant b and is represented as a = (27*P_c*(b)^2) or Van der Waals Constant a = (27*Critical Pressure*(Van der Waals Constant b)^2). Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature & The Van der Waals Constant b along with the number of moles is the volume of the gas which is incompressible.

How to calculate Van der Waals Constant given Critical Pressure?

The Van der Waals constant given critical pressure formula is defined as the product of critical pressure and the square of the Vander waal constant b is calculated using Van der Waals Constant a = (27*Critical Pressure*(Van der Waals Constant b)^2). To calculate Van der Waals Constant given Critical Pressure, you need Critical Pressure (P_c) & Van der Waals Constant b (b). With our tool, you need to enter the respective value for Critical Pressure & 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 Van der Waals Constant a?

In this formula, Van der Waals Constant a uses Critical Pressure & Van der Waals Constant b. We can use 4 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*Van der Waals Constant b*[R]*Critical Temperature)/8
Van der Waals Constant a = ((Inversion Temperature*[R]*Van der Waals Constant b)/2)
Van der Waals Constant a = ((Inversion Temperature*Van der Waals Constant b*[BoltZ])/2)

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