Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters Calculator

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Peng Robinson Model of Real Gas

Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Redlich Kwong Model of Real Gas

Saturation Vapour Pressure

Specific Heat Capacity

Van der Waals Force

Wohl Model of Real Gas

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Critical Pressure

Critical Temperature

Peng Robinson Parameter

Reduced Pressure

Reduced Temperature

✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter b [b_PR]			+10% -10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%

✖Temperature given PRP is the degree or intensity of heat present in a substance or object.ⓘ Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters [T_PRP]

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Formula

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Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters

Formula

`"T"_{"PRP"} = "T"_{"r"}*(("b"_{"PR"}*"P"_{"c"})/(0.07780*"[R]"))`

Example

`"404.4119K"="10"*(("0.12"*"218Pa")/(0.07780*"[R]"))`

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Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
T_PRP = T_r*((b_PR*P_c)/(0.07780*[R]))
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature given PRP - (Measured in Kelvin) - Temperature given PRP 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.
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

Reduced Temperature: 10 --> No Conversion Required
Peng–Robinson Parameter b: 0.12 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_PRP = T_r*((b_PR*P_c)/(0.07780*[R])) --> 10*((0.12*218)/(0.07780*[R]))

Evaluating ... ...

T_PRP = 404.411929038267

STEP 3: Convert Result to Output's Unit

404.411929038267 Kelvin --> No Conversion Required

FINAL ANSWER

404.411929038267 ≈ 404.4119 Kelvin <-- Temperature given PRP

(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 20 Peng Robinson Model of Real Gas Calculators

Peng Robinson Alpha-Function using Peng Robinson Equation given Reduced and Critical Parameters

Go α-function = ((([R]*(Critical Temperature*Reduced Temperature))/((Critical Molar Volume*Reduced Molar Volume)-Peng–Robinson Parameter b))-(Critical Pressure*Reduced Pressure))*(((Critical Molar Volume*Reduced Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Critical Molar Volume*Reduced Molar Volume))-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a

Pressure of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

Go 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)))

Temperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

Go Temperature = ((Reduced Pressure*Critical Pressure)+(((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 Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b)/[R])

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])

Pressure of Real Gas using Peng Robinson Equation

Go 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)))

Peng Robinson Alpha-Function using Peng Robinson Equation

Go α-function = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a

Actual Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters

Go Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))

Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters

Go Temperature = Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))

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

Go Pressure = Reduced Pressure*(0.07780*[R]*(Temperature/Reduced Temperature)/Peng–Robinson Parameter b)

Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature

Go Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Temperature/Critical Temperature))

Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters

Go Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)

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 given Peng Robinson Parameter a, and other Reduced and Critical Parameters

Go Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))

Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter

Go Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2)

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

Go Pressure = Reduced Pressure*(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)

Alpha-function for Peng Robinson Equation of state given Critical and Actual Temperature

Go α-function = (1+Pure Component Parameter*(1-sqrt(Temperature/Critical Temperature)))^2

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature

Go Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature))

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)

Pure Component Factor for Peng Robinson Equation of state using Acentric Factor

Go Pure Component Parameter = 0.37464+(1.54226*Acentric Factor)-(0.26992*Acentric Factor*Acentric Factor)

Alpha-function for Peng Robinson Equation of state given Reduced Temperature

Go α-function = (1+Pure Component Parameter*(1-sqrt(Reduced Temperature)))^2

< 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

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

Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters Formula

Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
T_PRP = T_r*((b_PR*P_c)/(0.07780*[R]))

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 Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters?

Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters calculator uses Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R])) to calculate the Temperature given PRP, The Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature given PRP is denoted by T_PRP symbol.

How to calculate Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters using this online calculator? To use this online calculator for Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters, enter Reduced Temperature (T_r), Peng–Robinson Parameter b (b_PR) & Critical Pressure (P_c) and hit the calculate button. Here is how the Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters calculation can be explained with given input values -> 404.4119 = 10*((0.12*218)/(0.07780*[R])).

FAQ

What is Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters?

The Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T_PRP = T_r*((b_PR*P_c)/(0.07780*[R])) or Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R])). 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 & Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

How to calculate Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters?

The Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R])). To calculate Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters, you need Reduced Temperature (T_r), Peng–Robinson Parameter b (b_PR) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Reduced Temperature, Peng–Robinson Parameter b & 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 Temperature given PRP?

In this formula, Temperature given PRP uses Reduced Temperature, Peng–Robinson Parameter b & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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