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

Critical Pressure

Critical Temperature

Peng Robinson Parameter

Reduced Pressure

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter a [a_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 of Gas is the degree or intensity of heat present in a substance or object.ⓘ Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters [T_g]

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Formula

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

Formula

`"T"_{"g"} = "T"/(sqrt(("a"_{"PR"}*"P"_{"c"})/(0.45724*("[R]"^2))))`

Example

`"102.3522K"="85K"/(sqrt(("0.1"*"218Pa")/(0.45724*("[R]"^2))))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
T_g = T/(sqrt((a_PR*P_c)/(0.45724*([R]^2))))
This formula uses 1 Constants, 1 Functions, 4 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

Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the degree or intensity of heat present in a substance or object.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Peng–Robinson Parameter a - Peng–Robinson parameter a 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

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Peng–Robinson Parameter a: 0.1 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = T/(sqrt((a_PR*P_c)/(0.45724*([R]^2)))) --> 85/(sqrt((0.1*218)/(0.45724*([R]^2))))

Evaluating ... ...

T_g = 102.35215051138

STEP 3: Convert Result to Output's Unit

102.35215051138 Kelvin --> No Conversion Required

FINAL ANSWER

102.35215051138 ≈ 102.3522 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Peng Robinson Model of Real Gas » Reduced Temperature » Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters

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< 7 Reduced Temperature Calculators

Reduced Temperature using Peng Robinson Equation given Reduced and Critical Parameters

Go Reduced 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]))/Critical Temperature

Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters

Go Reduced 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]))/Critical Temperature

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

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

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

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

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

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

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

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

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

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

Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
T_g = T/(sqrt((a_PR*P_c)/(0.45724*([R]^2))))

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

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters calculator uses Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))) to calculate the Temperature of Gas, The Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless. Temperature of Gas is denoted by T_g symbol.

How to calculate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters using this online calculator? To use this online calculator for Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters, enter Temperature (T), Peng–Robinson Parameter a (a_PR) & Critical Pressure (P_c) and hit the calculate button. Here is how the Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters calculation can be explained with given input values -> 102.3522 = 85/(sqrt((0.1*218)/(0.45724*([R]^2)))).

FAQ

What is Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters?

The Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as T_g = T/(sqrt((a_PR*P_c)/(0.45724*([R]^2)))) or Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))). Temperature is the degree or intensity of heat present in a substance or object, Peng–Robinson parameter a 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 Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters?

The Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))). To calculate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters, you need Temperature (T), Peng–Robinson Parameter a (a_PR) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Temperature, Peng–Robinson Parameter a & 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 of Gas?

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

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))

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