Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
PcPRP = 0.07780*[R]*(Tg/Tr)/bPR
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Critical Pressure given PRP - (Measured in Pascal) - Critical Pressure given PRP is the minimum pressure required to liquify a substance at the critical temperature.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the degree or intensity of heat present in a substance or object.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Peng–Robinson Parameter b - Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
STEP 1: Convert Input(s) to Base Unit
Temperature of Gas: 85.5 Kelvin --> 85.5 Kelvin No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Peng–Robinson Parameter b: 0.12 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PcPRP = 0.07780*[R]*(Tg/Tr)/bPR --> 0.07780*[R]*(85.5/10)/0.12
Evaluating ... ...
PcPRP = 46.0891449080779
STEP 3: Convert Result to Output's Unit
46.0891449080779 Pascal --> No Conversion Required
FINAL ANSWER
46.0891449080779 46.08914 Pascal <-- Critical Pressure given PRP
(Calculation completed in 00.004 seconds)

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6 Critical Pressure Calculators

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

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

Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters Formula

Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
PcPRP = 0.07780*[R]*(Tg/Tr)/bPR

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 Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters?

Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters calculator uses Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b to calculate the Critical Pressure given PRP, The Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature. Critical Pressure given PRP is denoted by PcPRP symbol.

How to calculate Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters using this online calculator? To use this online calculator for Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters, enter Temperature of Gas (Tg), Reduced Temperature (Tr) & Peng–Robinson Parameter b (bPR) and hit the calculate button. Here is how the Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters calculation can be explained with given input values -> 46.08914 = 0.07780*[R]*(85.5/10)/0.12.

FAQ

What is Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters?
The Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature and is represented as PcPRP = 0.07780*[R]*(Tg/Tr)/bPR or Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b. Temperature of Gas is the degree or intensity of heat present in a substance or object, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless & Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
How to calculate Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters?
The Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature is calculated using Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b. To calculate Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters, you need Temperature of Gas (Tg), Reduced Temperature (Tr) & Peng–Robinson Parameter b (bPR). With our tool, you need to enter the respective value for Temperature of Gas, Reduced Temperature & Peng–Robinson Parameter b 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 Pressure given PRP?
In this formula, Critical Pressure given PRP uses Temperature of Gas, Reduced Temperature & Peng–Robinson Parameter b. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Critical Pressure given PRP = Pressure/(0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b)
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