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Critical Pressure without use of Van der Waals Constants Calculator

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✖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 Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.ⓘ Critical Volume [V_cr]			+10% -10%

✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure without use of Van der Waals Constants [P_c]

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Critical Pressure without use of Van der Waals Constants Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
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 Volume - (Measured in Cubic Meter) - The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.

STEP 1: Convert Input(s) to Base Unit

Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Volume: 5 Liter --> 0.005 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = (3/8)*(([R]*T_c)/V_cr) --> (3/8)*(([R]*647)/0.005)

Evaluating ... ...

P_c = 403459.298545886

STEP 3: Convert Result to Output's Unit

403459.298545886 Pascal --> No Conversion Required

FINAL ANSWER

403459.298545886 ≈ 403459.3 Pascal <-- Critical Pressure

(Calculation completed in 00.012 seconds)

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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 Pressure without use of Van der Waals Constants Formula

LaTeX Go

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

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 Pressure without use of Van der Waals Constants?

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

How to calculate Critical Pressure without use of Van der Waals Constants using this online calculator? To use this online calculator for Critical Pressure without use of Van der Waals Constants, enter Critical Temperature (T_c) & Critical Volume (V_cr) and hit the calculate button. Here is how the Critical Pressure without use of Van der Waals Constants calculation can be explained with given input values -> 403459.3 = (3/8)*(([R]*647)/0.005).

FAQ

What is Critical Pressure without use of Van der Waals Constants?

The Critical pressure without use of Van der Waals constants formula is defined as the ratio of critical temperature to the critical volume of the gas and is represented as P_c = (3/8)*(([R]*T_c)/V_cr) or Critical Pressure = (3/8)*(([R]*Critical Temperature)/Critical Volume). 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 & The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.

How to calculate Critical Pressure without use of Van der Waals Constants?

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

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

Critical Pressure = (Van der Waals Constant a/(27*(Van der Waals Constant b)^2))

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