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

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✖Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure of Gas [Prg]
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✖Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter a [a]
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-10%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [Vm]
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✖Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter b [b]
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✖Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter c [c]
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✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [Tr]
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✖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 Actual Parameters [T'c]
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Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters

Formula
`"T'"_{"c"} = ("[R]"/(("P"_{"rg"}+("a"/("V"_{"m"}*("V"_{"m"}-"b")))-("c"/(("V"_{"m"}^3))))*("V"_{"m"}-"b")))/"T"_{"r"}`

Example
`"2.5E^-5K"=("[R]"/(("10132Pa"+("266"/("22.4m³/mol"*("22.4m³/mol"-"0.00625")))-("21"/((("22.4m³/mol")^3))))*("22.4m³/mol"-"0.00625")))/"1.46"`

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

STEP 0: Pre-Calculation Summary
Formula Used
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
T'c = ([R]/((Prg+(a/(Vm*(Vm-b)))-(c/((Vm^3))))*(Vm-b)))/Tr
This formula uses 1 Constants, 7 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.
Pressure of Gas - (Measured in Pascal) - Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Wohl Parameter a - Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
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
Pressure of Gas: 10132 Pascal --> 10132 Pascal No Conversion Required
Wohl Parameter a: 266 --> No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 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]/((Prg+(a/(Vm*(Vm-b)))-(c/((Vm^3))))*(Vm-b)))/Tr --> ([R]/((10132+(266/(22.4*(22.4-0.00625)))-(21/((22.4^3))))*(22.4-0.00625)))/1.46
Evaluating ... ...
T'c = 2.50978589081903E-05
STEP 3: Convert Result to Output's Unit
2.50978589081903E-05 Kelvin --> No Conversion Required
FINAL ANSWER
2.50978589081903E-05 ≈ 2.5E-5 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 Actual Parameters

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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10+ Critical Temperature of Real Gas using Wohl equation Calculators

Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters
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
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 using Wohl Parameter c and other Actual and Reduced Parameters
Go Critical Temperature of Real Gas = sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3)))
Critical Temperature of Real Gas given Wohl Parameter a. and Other Actual and Reduced Parameters
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 Wohl's Real Gas given Other Actual and Reduced Parameters
Go Critical Temperature of Real Gas = (15*(Pressure of Gas/Reduced Pressure)*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))/(4*[R])
Critical Temperature of Real Gas using Wohl Equation given Wohl Parameter c
Go Critical Temperature of Real Gas = sqrt(Wohl Parameter c/(4*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^3)))
Critical Temperature of Real Gas using Wohl Equation given Wohl Parameter a
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 Wohl's Real Gas given other Critical Parameters
Go Critical Temperature of Real Gas = (15*Critical Pressure for Peng Robinson Model*Critical Molar Volume for Peng Robinson Model)/(4*[R])
Critical Temperature of Real Gas given Wohl Parameter b and Other Actual and Reduced Parameters
Go Critical Temperature of Real Gas = (Wohl Parameter b*15*(Pressure of Gas/Reduced Pressure))/[R]
Critical Temperature of Real Gas using Wohl Equation given Wohl Parameter b
Go Critical Temperature of Real Gas = (Wohl Parameter b*15*Critical Pressure for Peng Robinson Model)/[R]

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

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
T'c = ([R]/((Prg+(a/(Vm*(Vm-b)))-(c/((Vm^3))))*(Vm-b)))/Tr

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 Actual Parameters?

Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters calculator uses 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 to calculate the Critical Temperature of Real Gas, The Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual 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 Actual Parameters using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters, enter Pressure of Gas (Prg), Wohl Parameter a (a), Molar Volume (Vm), Wohl Parameter b (b), Wohl Parameter c (c) & Reduced Temperature (Tr) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 2.5E-5 = ([R]/((10132+(266/(22.4*(22.4-0.00625)))-(21/((22.4^3))))*(22.4-0.00625)))/1.46.

FAQ

What is Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters?
The Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as T'c = ([R]/((Prg+(a/(Vm*(Vm-b)))-(c/((Vm^3))))*(Vm-b)))/Tr or 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. Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, 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 Actual Parameters?
The Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual 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]/((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. To calculate Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters, you need Pressure of Gas (Prg), Wohl Parameter a (a), Molar Volume (Vm), Wohl Parameter b (b), Wohl Parameter c (c) & Reduced Temperature (Tr). With our tool, you need to enter the respective value for Pressure of Gas, Wohl Parameter a, Molar Volume, 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 Pressure of Gas, Wohl Parameter a, Molar Volume, Wohl Parameter b, Wohl Parameter c & Reduced Temperature. We can use 9 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]/(((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 = Wohl Parameter a/(6*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^2))
  • Critical Temperature of Real Gas = (Wohl Parameter b*15*Critical Pressure for Peng Robinson Model)/[R]
  • Critical Temperature of Real Gas = sqrt(Wohl Parameter c/(4*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^3)))
  • Critical Temperature of Real Gas = (Wohl Parameter b*15*(Pressure of Gas/Reduced Pressure))/[R]
  • Critical Temperature of Real Gas = sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3)))
  • Critical Temperature of Real Gas = (15*(Pressure of Gas/Reduced Pressure)*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))/(4*[R])
  • Critical Temperature of Real Gas = (15*Critical Pressure for Peng Robinson Model*Critical Molar Volume for Peng Robinson Model)/(4*[R])
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