Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Calculator

✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%
✖Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure for Peng Robinson Model [P,_c]			+10% -10%
✖Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter a [a]			+10% -10%
✖Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume for P-R Method [V'_r]			+10% -10%
✖Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume for Peng Robinson Model [V'_c]			+10% -10%
✖Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter b [b]			+10% -10%
✖Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter c [c]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%

✖Critical Temperature of Real Gas 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 of Real Gas using Wohl Equation given Reduced and Critical Parameters [T'_c]

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Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Temperature of Real Gas = ([R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))/Reduced Temperature
T'_c = ([R]/(((P_r*P,_c)+(a/((V'_r*V'_c)*((V'_r*V'_c)-b)))-(c/(((V'_r*V'_c)^3))))*((V'_r*V'_c)-b)))/T_r
This formula uses 1 Constants, 9 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Temperature of Real Gas - (Measured in Kelvin) - Critical Temperature of Real Gas 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.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Critical Pressure for Peng Robinson Model - (Measured in Pascal) - Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.
Wohl Parameter a - Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Reduced Molar Volume for P-R Method - Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
Critical Molar Volume for Peng Robinson Model - (Measured in Cubic Meter per Mole) - Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.
Wohl Parameter b - Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Wohl Parameter c - Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

STEP 1: Convert Input(s) to Base Unit

Reduced Pressure: 0.0024 --> No Conversion Required
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Wohl Parameter a: 266 --> No Conversion Required
Reduced Molar Volume for P-R Method: 246.78 --> No Conversion Required
Critical Molar Volume for Peng Robinson Model: 0.0025 Cubic Meter per Mole --> 0.0025 Cubic Meter per Mole No Conversion Required
Wohl Parameter b: 0.00625 --> No Conversion Required
Wohl Parameter c: 21 --> No Conversion Required
Reduced Temperature: 1.46 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T'_c = ([R]/(((P_r*P,_c)+(a/((V'_r*V'_c)*((V'_r*V'_c)-b)))-(c/(((V'_r*V'_c)^3))))*((V'_r*V'_c)-b)))/T_r --> ([R]/(((0.0024*4600000)+(266/((246.78*0.0025)*((246.78*0.0025)-0.00625)))-(21/(((246.78*0.0025)^3))))*((246.78*0.0025)-0.00625)))/1.46

Evaluating ... ...

T'_c = 0.000799986364703682

STEP 3: Convert Result to Output's Unit

0.000799986364703682 Kelvin --> No Conversion Required

FINAL ANSWER

0.000799986364703682 ≈ 0.0008 Kelvin <-- Critical Temperature of Real Gas

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Wohl Model of Real Gas » Critical Temperature of Real Gas using Wohl equation » Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters

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< Critical Temperature of Real Gas using Wohl equation Calculators

Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters

LaTeX Go Critical Temperature of Real Gas = ([R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))/Reduced Temperature

Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters

LaTeX Go Critical Temperature of Real Gas = ([R]/((Pressure of Gas+(Wohl Parameter a/(Molar Volume*(Molar Volume-Wohl Parameter b)))-(Wohl Parameter c/((Molar Volume^3))))*(Molar Volume-Wohl Parameter b)))/Reduced Temperature

Critical Temperature of Real Gas given Wohl Parameter a. and Other Actual and Reduced Parameters

LaTeX Go Critical Temperature of Real Gas = Wohl Parameter a/(6*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2))

Critical Temperature of Real Gas using Wohl Equation given Wohl Parameter a

LaTeX Go Critical Temperature of Real Gas = Wohl Parameter a/(6*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^2))

Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula

LaTeX Go

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters calculator uses Critical Temperature of Real Gas = ([R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))/Reduced Temperature to calculate the Critical Temperature of Real Gas, The Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature of Real Gas is denoted by T'_c symbol.

How to calculate Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters, enter Reduced Pressure (P_r), Critical Pressure for Peng Robinson Model (P,_c), Wohl Parameter a (a), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b), Wohl Parameter c (c) & Reduced Temperature (T_r) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters calculation can be explained with given input values -> 0.0008 = ([R]/(((0.0024*4600000)+(266/((246.78*0.0025)*((246.78*0.0025)-0.00625)))-(21/(((246.78*0.0025)^3))))*((246.78*0.0025)-0.00625)))/1.46.

FAQ

What is Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

The Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as T'_c = ([R]/(((P_r*P,_c)+(a/((V'_r*V'_c)*((V'_r*V'_c)-b)))-(c/(((V'_r*V'_c)^3))))*((V'_r*V'_c)-b)))/T_r or Critical Temperature of Real Gas = ([R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))/Reduced Temperature. Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature, Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas, Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole, Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole, Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas, Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas & Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

How to calculate Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

The Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the highest temperature at which the substance can exist as a liquid is calculated using Critical Temperature of Real Gas = ([R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))/Reduced Temperature. To calculate Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters, you need Reduced Pressure (P_r), Critical Pressure for Peng Robinson Model (P,_c), Wohl Parameter a (a), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b), Wohl Parameter c (c) & Reduced Temperature (T_r). With our tool, you need to enter the respective value for Reduced Pressure, Critical Pressure for Peng Robinson Model, Wohl Parameter a, Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Wohl Parameter b, Wohl Parameter c & Reduced 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 Critical Temperature of Real Gas?

In this formula, Critical Temperature of Real Gas uses Reduced Pressure, Critical Pressure for Peng Robinson Model, Wohl Parameter a, Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Wohl Parameter b, Wohl Parameter c & Reduced Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Temperature of Real Gas = Wohl Parameter a/(6*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2))
Critical Temperature of Real Gas = ([R]/((Pressure of Gas+(Wohl Parameter a/(Molar Volume*(Molar Volume-Wohl Parameter b)))-(Wohl Parameter c/((Molar Volume^3))))*(Molar Volume-Wohl Parameter b)))/Reduced Temperature
Critical Temperature of Real Gas = Wohl Parameter a/(6*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^2))

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