Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wohl Parameter a = ((([R]*((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas))/(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))+(Wohl Parameter c/((((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)^2)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)^3)))-((Pressure of Gas/Critical Pressure for Peng Robinson Model)*Critical Pressure for Peng Robinson Model))*(((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))
a = ((([R]*((Trg/T'c)*T'c))/(((V'm/V'c)*V'c)-b))+(c/((((Trg/T'c)*T'c)^2)*(((V'm/V'c)*V'c)^3)))-((Prg/P,c)*P,c))*(((Trg/T'c)*T'c)*((V'm/V'c)*V'c)*(((V'm/V'c)*V'c)-b))
This formula uses 1 Constants, 9 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Wohl Parameter a - Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
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.
Molar Volume of Real Gas - (Measured in Cubic Meter) - Molar Volume of Real Gas or Molar gas volume is one mole of any gas at a specific temperature and pressure has a fixed volume.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Critical Temperature of Real Gas: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Molar Volume of Real Gas: 0.0224 Cubic Meter --> 0.0224 Cubic Meter 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
Pressure of Gas: 10132 Pascal --> 10132 Pascal No Conversion Required
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = ((([R]*((Trg/T'c)*T'c))/(((V'm/V'c)*V'c)-b))+(c/((((Trg/T'c)*T'c)^2)*(((V'm/V'c)*V'c)^3)))-((Prg/P,c)*P,c))*(((Trg/T'c)*T'c)*((V'm/V'c)*V'c)*(((V'm/V'c)*V'c)-b)) --> ((([R]*((300/154.4)*154.4))/(((0.0224/0.0025)*0.0025)-0.00625))+(21/((((300/154.4)*154.4)^2)*(((0.0224/0.0025)*0.0025)^3)))-((10132/4600000)*4600000))*(((300/154.4)*154.4)*((0.0224/0.0025)*0.0025)*(((0.0224/0.0025)*0.0025)-0.00625))
Evaluating ... ...
a = 15664.6040113934
STEP 3: Convert Result to Output's Unit
15664.6040113934 --> No Conversion Required
FINAL ANSWER
15664.6040113934 15664.6 <-- Wohl Parameter a
(Calculation completed in 00.004 seconds)

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Wohl Parameter Calculators

Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters
​ LaTeX ​ Go Wohl Parameter a = ((([R]*((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas))/(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))+(Wohl Parameter c/((((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)^2)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)^3)))-((Pressure of Gas/Critical Pressure for Peng Robinson Model)*Critical Pressure for Peng Robinson Model))*(((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))
Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Reduced Parameters
​ LaTeX ​ Go Wohl Parameter a = ((([R]*(Reduced Temperature*(Temperature of Real Gas/Reduced Temperature)))/((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))-Wohl Parameter b))+(Wohl Parameter c/(((Reduced Temperature*(Temperature of Real Gas/Reduced Temperature))^2)*((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))^3)))-(Reduced Pressure*(Pressure of Gas/Reduced Pressure)))*((Reduced Temperature*(Temperature of Real Gas/Reduced Temperature))*(Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))*((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))-Wohl Parameter b))
Wohl Parameter (a) of Real Gas using Wohl Equation
​ LaTeX ​ Go Wohl Parameter a = ((([R]*Temperature of Real Gas)/(Molar Volume of Real Gas-Wohl Parameter b))+(Wohl Parameter c/((Temperature of Real Gas^2)*(Molar Volume of Real Gas^3)))-Pressure of Gas)*(Temperature of Real Gas*Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b))
Wohl Parameter (a) of Real Gas using Actual and Reduced Parameters
​ LaTeX ​ Go Wohl Parameter a = 6*(Pressure of Gas/Reduced Pressure)*(Temperature of Real Gas/Reduced Temperature)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2)

Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters Formula

​LaTeX ​Go
Wohl Parameter a = ((([R]*((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas))/(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))+(Wohl Parameter c/((((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)^2)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)^3)))-((Pressure of Gas/Critical Pressure for Peng Robinson Model)*Critical Pressure for Peng Robinson Model))*(((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))
a = ((([R]*((Trg/T'c)*T'c))/(((V'm/V'c)*V'c)-b))+(c/((((Trg/T'c)*T'c)^2)*(((V'm/V'c)*V'c)^3)))-((Prg/P,c)*P,c))*(((Trg/T'c)*T'c)*((V'm/V'c)*V'c)*(((V'm/V'c)*V'c)-b))

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 Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters?

Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters calculator uses Wohl Parameter a = ((([R]*((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas))/(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))+(Wohl Parameter c/((((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)^2)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)^3)))-((Pressure of Gas/Critical Pressure for Peng Robinson Model)*Critical Pressure for Peng Robinson Model))*(((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)) to calculate the Wohl Parameter a, The Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Wohl model of real gas. Wohl Parameter a is denoted by a symbol.

How to calculate Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters using this online calculator? To use this online calculator for Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters, enter Temperature of Real Gas (Trg), Critical Temperature of Real Gas (T'c), Molar Volume of Real Gas (V'm), Critical Molar Volume for Peng Robinson Model (V'c), Wohl Parameter b (b), Wohl Parameter c (c), Pressure of Gas (Prg) & Critical Pressure for Peng Robinson Model (P,c) and hit the calculate button. Here is how the Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters calculation can be explained with given input values -> 1042.01 = ((([R]*((300/154.4)*154.4))/(((0.0224/0.0025)*0.0025)-0.00625))+(21/((((300/154.4)*154.4)^2)*(((0.0224/0.0025)*0.0025)^3)))-((10132/4600000)*4600000))*(((300/154.4)*154.4)*((0.0224/0.0025)*0.0025)*(((0.0224/0.0025)*0.0025)-0.00625)).

FAQ

What is Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters?
The Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Wohl model of real gas and is represented as a = ((([R]*((Trg/T'c)*T'c))/(((V'm/V'c)*V'c)-b))+(c/((((Trg/T'c)*T'c)^2)*(((V'm/V'c)*V'c)^3)))-((Prg/P,c)*P,c))*(((Trg/T'c)*T'c)*((V'm/V'c)*V'c)*(((V'm/V'c)*V'c)-b)) or Wohl Parameter a = ((([R]*((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas))/(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))+(Wohl Parameter c/((((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)^2)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)^3)))-((Pressure of Gas/Critical Pressure for Peng Robinson Model)*Critical Pressure for Peng Robinson Model))*(((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)). Temperature of Real Gas is the degree or intensity of heat present in a substance or object, 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, Molar Volume of Real Gas or Molar gas volume is one mole of any gas at a specific temperature and pressure has a fixed volume, 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, Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.
How to calculate Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters?
The Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Wohl model of real gas is calculated using Wohl Parameter a = ((([R]*((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas))/(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))+(Wohl Parameter c/((((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)^2)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)^3)))-((Pressure of Gas/Critical Pressure for Peng Robinson Model)*Critical Pressure for Peng Robinson Model))*(((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)). To calculate Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters, you need Temperature of Real Gas (Trg), Critical Temperature of Real Gas (T'c), Molar Volume of Real Gas (V'm), Critical Molar Volume for Peng Robinson Model (V'c), Wohl Parameter b (b), Wohl Parameter c (c), Pressure of Gas (Prg) & Critical Pressure for Peng Robinson Model (P,c). With our tool, you need to enter the respective value for Temperature of Real Gas, Critical Temperature of Real Gas, Molar Volume of Real Gas, Critical Molar Volume for Peng Robinson Model, Wohl Parameter b, Wohl Parameter c, Pressure of Gas & Critical Pressure for Peng Robinson Model 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 Wohl Parameter a?
In this formula, Wohl Parameter a uses Temperature of Real Gas, Critical Temperature of Real Gas, Molar Volume of Real Gas, Critical Molar Volume for Peng Robinson Model, Wohl Parameter b, Wohl Parameter c, Pressure of Gas & Critical Pressure for Peng Robinson Model. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Wohl Parameter a = 6*(Pressure of Gas/Reduced Pressure)*(Temperature of Real Gas/Reduced Temperature)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2)
  • Wohl Parameter a = ((([R]*Temperature of Real Gas)/(Molar Volume of Real Gas-Wohl Parameter b))+(Wohl Parameter c/((Temperature of Real Gas^2)*(Molar Volume of Real Gas^3)))-Pressure of Gas)*(Temperature of Real Gas*Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b))
  • Wohl Parameter a = ((([R]*(Reduced Temperature*(Temperature of Real Gas/Reduced Temperature)))/((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))-Wohl Parameter b))+(Wohl Parameter c/(((Reduced Temperature*(Temperature of Real Gas/Reduced Temperature))^2)*((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))^3)))-(Reduced Pressure*(Pressure of Gas/Reduced Pressure)))*((Reduced Temperature*(Temperature of Real Gas/Reduced Temperature))*(Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))*((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))-Wohl Parameter b))
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