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Critical Temperature given Van der Waals Constants Calculator

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

✖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 given Van der Waals Constants [T_c]

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Critical Temperature given Van der Waals Constants Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
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

T_c = (8*a)/(27*b*[R]) --> (8*2)/(27*0.003*[R])

Evaluating ... ...

T_c = 23.7575022306619

STEP 3: Convert Result to Output's Unit

23.7575022306619 Kelvin --> No Conversion Required

FINAL ANSWER

23.7575022306619 ≈ 23.7575 Kelvin <-- Critical Temperature

(Calculation completed in 00.020 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 Temperature given Van der Waals Constants Formula

LaTeX Go

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

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

How to calculate Critical Temperature given Van der Waals Constants using this online calculator? To use this online calculator for Critical Temperature 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 Temperature given Van der Waals Constants calculation can be explained with given input values -> 23.7575 = (8*2)/(27*0.003*[R]).

FAQ

What is Critical Temperature given Van der Waals Constants?

The Critical temperature given Van der Waals constants formula is defined as the ratio of Vander Waal constant a to the Vander Waal constant b and is represented as T_c = (8*a)/(27*b*[R]) or Critical Temperature = (8*Van der Waals Constant a)/(27*Van der Waals Constant b*[R]). 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 Temperature given Van der Waals Constants?

The Critical temperature given Van der Waals constants formula is defined as the ratio of Vander Waal constant a to the Vander Waal constant b is calculated using Critical Temperature = (8*Van der Waals Constant a)/(27*Van der Waals Constant b*[R]). To calculate Critical Temperature 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 Temperature?

In this formula, Critical Temperature 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 Temperature = (8/3)*((Critical Pressure*Critical Volume)/[R])

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