Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
Redlich–Kwong parameter b = -((1/Pressure)+((sqrt(Temperature)*(Molar Volume^2))/Redlich–Kwong Parameter a)-(Molar Volume/([R]*Temperature)))/((1/([R]*Temperature))+((sqrt(Temperature)*Molar Volume)/Redlich–Kwong Parameter a))
b = -((1/p)+((sqrt(T)*(Vm^2))/a)-(Vm/([R]*T)))/((1/([R]*T))+((sqrt(T)*Vm)/a))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Redlich–Kwong parameter b - Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
Redlich–Kwong Parameter a - Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
STEP 1: Convert Input(s) to Base Unit
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Redlich–Kwong Parameter a: 0.15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = -((1/p)+((sqrt(T)*(Vm^2))/a)-(Vm/([R]*T)))/((1/([R]*T))+((sqrt(T)*Vm)/a)) --> -((1/800)+((sqrt(85)*(22.4^2))/0.15)-(22.4/([R]*85)))/((1/([R]*85))+((sqrt(85)*22.4)/0.15))
Evaluating ... ...
b = -22.3999548654813
STEP 3: Convert Result to Output's Unit
-22.3999548654813 --> No Conversion Required
FINAL ANSWER
-22.3999548654813 -22.399955 <-- Redlich–Kwong parameter b
(Calculation completed in 00.004 seconds)

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Redlich Kwong Parameter Calculators

Redlich Kwong Parameter given Pressure, Temperature and Molar Volume of Real Gas
​ LaTeX ​ Go Redlich–Kwong Parameter a = ((([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-Pressure)*(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b))
Redlich Kwong Parameter a, given Reduced and Actual Pressure
​ LaTeX ​ Go Redlich–Kwong Parameter a = (0.42748*([R]^2)*((Temperature/Reduced Temperature)^(5/2)))/(Pressure/Reduced Pressure)
Redlich Kwong Parameter b at Critical Point
​ LaTeX ​ Go Parameter b = (0.08664*[R]*Critical Temperature)/Critical Pressure
Redlich Kwong Parameter at Critical Point
​ LaTeX ​ Go Redlich–Kwong Parameter a = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Critical Pressure

Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas Formula

​LaTeX ​Go
Redlich–Kwong parameter b = -((1/Pressure)+((sqrt(Temperature)*(Molar Volume^2))/Redlich–Kwong Parameter a)-(Molar Volume/([R]*Temperature)))/((1/([R]*Temperature))+((sqrt(Temperature)*Molar Volume)/Redlich–Kwong Parameter a))
b = -((1/p)+((sqrt(T)*(Vm^2))/a)-(Vm/([R]*T)))/((1/([R]*T))+((sqrt(T)*Vm)/a))

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 Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas calculator uses Redlich–Kwong parameter b = -((1/Pressure)+((sqrt(Temperature)*(Molar Volume^2))/Redlich–Kwong Parameter a)-(Molar Volume/([R]*Temperature)))/((1/([R]*Temperature))+((sqrt(Temperature)*Molar Volume)/Redlich–Kwong Parameter a)) to calculate the Redlich–Kwong parameter b, The Redlich Kwong parameter b given Pressure, Temperature and Molar Volume of real gas is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas. Redlich–Kwong parameter b is denoted by b symbol.

How to calculate Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas using this online calculator? To use this online calculator for Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas, enter Pressure (p), Temperature (T), Molar Volume (Vm) & Redlich–Kwong Parameter a (a) and hit the calculate button. Here is how the Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas calculation can be explained with given input values -> -22.399955 = -((1/800)+((sqrt(85)*(22.4^2))/0.15)-(22.4/([R]*85)))/((1/([R]*85))+((sqrt(85)*22.4)/0.15)).

FAQ

What is Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas?
The Redlich Kwong parameter b given Pressure, Temperature and Molar Volume of real gas is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas and is represented as b = -((1/p)+((sqrt(T)*(Vm^2))/a)-(Vm/([R]*T)))/((1/([R]*T))+((sqrt(T)*Vm)/a)) or Redlich–Kwong parameter b = -((1/Pressure)+((sqrt(Temperature)*(Molar Volume^2))/Redlich–Kwong Parameter a)-(Molar Volume/([R]*Temperature)))/((1/([R]*Temperature))+((sqrt(Temperature)*Molar Volume)/Redlich–Kwong Parameter a)). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Temperature is the degree or intensity of heat present in a substance or object, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure & Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
How to calculate Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas?
The Redlich Kwong parameter b given Pressure, Temperature and Molar Volume of real gas is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas is calculated using Redlich–Kwong parameter b = -((1/Pressure)+((sqrt(Temperature)*(Molar Volume^2))/Redlich–Kwong Parameter a)-(Molar Volume/([R]*Temperature)))/((1/([R]*Temperature))+((sqrt(Temperature)*Molar Volume)/Redlich–Kwong Parameter a)). To calculate Redlich Kwong Parameter b given Pressure, Temperature and Molar Volume of Real Gas, you need Pressure (p), Temperature (T), Molar Volume (Vm) & Redlich–Kwong Parameter a (a). With our tool, you need to enter the respective value for Pressure, Temperature, Molar Volume & Redlich–Kwong Parameter a 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 Redlich–Kwong parameter b?
In this formula, Redlich–Kwong parameter b uses Pressure, Temperature, Molar Volume & Redlich–Kwong Parameter a. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Redlich–Kwong parameter b = (0.08664*[R]*(Temperature/Reduced Temperature))/(Pressure/Reduced Pressure)
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