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Peng Robinson Parameter b of Real Gas given Critical Parameters 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 [Tc]
+10%
-10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [Pc]
+10%
-10%
✖Parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng Robinson Parameter b of Real Gas given Critical Parameters [bpara]
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Peng Robinson Parameter b of Real Gas given Critical Parameters

Formula
`"b"_{"para"} = 0.07780*"[R]"*"T"_{"c"}/"P"_{"c"}`

Example
`"1.919825"=0.07780*"[R]"*"647K"/"218Pa"`

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Peng Robinson Parameter b of Real Gas given Critical Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure
bpara = 0.07780*[R]*Tc/Pc
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Parameter b - Parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
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 Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
STEP 1: Convert Input(s) to Base Unit
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
bpara = 0.07780*[R]*Tc/Pc --> 0.07780*[R]*647/218
Evaluating ... ...
bpara = 1.9198246744263
STEP 3: Convert Result to Output's Unit
1.9198246744263 --> No Conversion Required
FINAL ANSWER
1.9198246744263 ≈ 1.919825 <-- Parameter b
(Calculation completed in 00.004 seconds)
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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Peng Robinson Model of Real Gas » Peng Robinson Parameter » Peng Robinson Parameter b of Real Gas given Critical Parameters

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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K J Somaiya College of science (K J Somaiya), Mumbai
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6 Peng Robinson Parameter Calculators

Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters
Go Peng–Robinson Parameter a = ((([R]*(Critical Temperature*Reduced Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b))-(Reduced Pressure*Critical Pressure))*(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2))/α-function
Peng Robinson Parameter a, using Peng Robinson Equation
Go Peng–Robinson Parameter a = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/α-function
Peng Robinson Parameter b of Real Gas given Reduced and Actual Parameters
Go Peng–Robinson Parameter b = 0.07780*[R]*(Temperature/Reduced Temperature)/(Pressure/Reduced Pressure)
Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters
Go Peng–Robinson Parameter a = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure)
Peng Robinson Parameter b of Real Gas given Critical Parameters
Go Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure
Peng Robinson Parameter a, of Real Gas given Critical Parameters
Go Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure

20 Important Formulae on Different Models of Real Gas Calculators

Critical Temperature using Peng Robinson Equation given Reduced and Actual Parameters
Go Real Gas Temperature = ((Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R]))/Reduced Temperature
Temperature of Real Gas using Peng Robinson Equation
Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])
Critical Pressure of Real Gas using Reduced Redlich Kwong Equation
Go Critical Pressure = Pressure/(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
Critical Temperature of Real Gas using Reduced Redlich Kwong Equation
Go Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Actual Temperature of Real Gas using Reduced Redlich Kwong Equation
Go Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Reduced Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Critical Pressure given PRP = Pressure/(0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b)
Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'
Go Temperature given PRP = Temperature of Gas/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Hamaker Coefficient
Go Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Actual Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters
Go Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
Radius of Spherical Body 1 given Center-to-Center Distance
Go Radius of Spherical Body 1 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2
Radius of Spherical Body 2 given Center-to-Center Distance
Go Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
Distance between Surfaces given Center-to-Center Distance
Go Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Center-to-Center Distance
Go Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])
Redlich Kwong Parameter b at Critical Point
Go Parameter b = (0.08664*[R]*Critical Temperature)/Critical Pressure
Peng Robinson Parameter b of Real Gas given Critical Parameters
Go Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure

Peng Robinson Parameter b of Real Gas given Critical Parameters Formula

Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure
bpara = 0.07780*[R]*Tc/Pc

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 Peng Robinson Parameter b of Real Gas given Critical Parameters?

Peng Robinson Parameter b of Real Gas given Critical Parameters calculator uses Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure to calculate the Parameter b, The Peng Robinson Parameter b of Real Gas given Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Peng Robinson model of real gas. Parameter b is denoted by bpara symbol.

How to calculate Peng Robinson Parameter b of Real Gas given Critical Parameters using this online calculator? To use this online calculator for Peng Robinson Parameter b of Real Gas given Critical Parameters, enter Critical Temperature (Tc) & Critical Pressure (Pc) and hit the calculate button. Here is how the Peng Robinson Parameter b of Real Gas given Critical Parameters calculation can be explained with given input values -> 1.919825 = 0.07780*[R]*647/218.

FAQ

What is Peng Robinson Parameter b of Real Gas given Critical Parameters?
The Peng Robinson Parameter b of Real Gas given Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Peng Robinson model of real gas and is represented as bpara = 0.07780*[R]*Tc/Pc or Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure. 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 Pressure is the minimum pressure required to liquify a substance at the critical temperature.
How to calculate Peng Robinson Parameter b of Real Gas given Critical Parameters?
The Peng Robinson Parameter b of Real Gas given Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Peng Robinson model of real gas is calculated using Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure. To calculate Peng Robinson Parameter b of Real Gas given Critical Parameters, you need Critical Temperature (Tc) & Critical Pressure (Pc). With our tool, you need to enter the respective value for Critical Temperature & Critical Pressure 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 Parameter b?
In this formula, Parameter b uses Critical Temperature & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Parameter b = (0.08664*[R]*Critical Temperature)/Critical Pressure
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