Critical Volume without use of Van der Waals Constant Calculator

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

✖The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.ⓘ Critical Volume without use of Van der Waals Constant [V_cr]

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Formula

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Critical Volume without use of Van der Waals Constant

Formula

`"V"_{"cr"} = (3/8)*(("[R]"*"T"_{"c"})/"P"_{"c"})`

Example

`"9253.654L"=(3/8)*(("[R]"*"647K")/"218Pa")`

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Critical Volume without use of Van der Waals Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Volume = (3/8)*(([R]*Critical Temperature)/Critical Pressure)
V_cr = (3/8)*(([R]*T_c)/P_c)
This formula uses 1 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Volume - (Measured in Cubic Meter) - The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.
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.
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

Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_cr = (3/8)*(([R]*T_c)/P_c) --> (3/8)*(([R]*647)/218)

Evaluating ... ...

V_cr = 9.25365363637353

STEP 3: Convert Result to Output's Unit

9.25365363637353 Cubic Meter -->9253.65363637353 Liter (Check conversion here)

FINAL ANSWER

9253.65363637353 ≈ 9253.654 Liter <-- Critical Volume

(Calculation completed in 00.020 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)

Critical Volume without use of Van der Waals Constant Formula

Critical Volume = (3/8)*(([R]*Critical Temperature)/Critical Pressure)
V_cr = (3/8)*(([R]*T_c)/P_c)

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 Volume without use of Van der Waals Constant?

Critical Volume without use of Van der Waals Constant calculator uses Critical Volume = (3/8)*(([R]*Critical Temperature)/Critical Pressure) to calculate the Critical Volume, The Critical Volume without use of Van der Waals Constant formula is defined as the ratio of critical temperature and critical pressure of the particular gas. Critical Volume is denoted by V_cr symbol.

How to calculate Critical Volume without use of Van der Waals Constant using this online calculator? To use this online calculator for Critical Volume without use of Van der Waals Constant, enter Critical Temperature (T_c) & Critical Pressure (P_c) and hit the calculate button. Here is how the Critical Volume without use of Van der Waals Constant calculation can be explained with given input values -> 9.3E+6 = (3/8)*(([R]*647)/218).

FAQ

What is Critical Volume without use of Van der Waals Constant?

The Critical Volume without use of Van der Waals Constant formula is defined as the ratio of critical temperature and critical pressure of the particular gas and is represented as V_cr = (3/8)*(([R]*T_c)/P_c) or Critical Volume = (3/8)*(([R]*Critical Temperature)/Critical Pressure). 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 Pressure is the minimum pressure required to liquify a substance at the critical temperature.

How to calculate Critical Volume without use of Van der Waals Constant?

The Critical Volume without use of Van der Waals Constant formula is defined as the ratio of critical temperature and critical pressure of the particular gas is calculated using Critical Volume = (3/8)*(([R]*Critical Temperature)/Critical Pressure). To calculate Critical Volume without use of Van der Waals Constant, you need Critical Temperature (T_c) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Critical Temperature & 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 Critical Volume?

In this formula, Critical Volume uses Critical Temperature & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Volume = (3*Van der Waals Constant b)

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