Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' Calculator

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Redlich Kwong Model of Real Gas

Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Peng Robinson 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 of Real Gas

Critical Temperature of Real Gas

Redlich Kwong Parameter

✖Temperature of Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Gas [T_g]			+10% -10%
✖Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.ⓘ Redlich–Kwong Parameter a [a]			+10% -10%
✖Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.ⓘ Redlich–Kwong parameter b [b]			+10% -10%

✖Temperature given PRP is the degree or intensity of heat present in a substance or object.ⓘ Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' [T_PRP]

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Formula

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Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'

Formula

`"T"_{"PRP"} = "T"_{"g"}/((3^(2/3))*(((2^(1/3))-1)^(4/3))*(("a"/("b"*"[R]"))^(2/3)))`

Example

`"776.1136K"="85.5K"/((3^(2/3))*(((2^(1/3))-1)^(4/3))*(("0.15"/("0.1"*"[R]"))^(2/3)))`

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Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
T_PRP = T_g/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3)))
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.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the degree or intensity of heat present in a substance or object.
Redlich–Kwong Parameter a - Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
Redlich–Kwong parameter b - Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas: 85.5 Kelvin --> 85.5 Kelvin No Conversion Required
Redlich–Kwong Parameter a: 0.15 --> No Conversion Required
Redlich–Kwong parameter b: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_PRP = T_g/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))) --> 85.5/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3)))

Evaluating ... ...

T_PRP = 776.113597163256

STEP 3: Convert Result to Output's Unit

776.113597163256 Kelvin --> No Conversion Required

FINAL ANSWER

776.113597163256 ≈ 776.1136 Kelvin <-- Temperature given PRP

(Calculation completed in 00.004 seconds)

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< 5 Reduced Temperature of Real Gas Calculators

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)))

Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation

Go Reduced Temperature = ((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)

Reduced Temperature of Real Gas given 'b' using Redlich Kwong Equation

Go Reduced Temperature = Temperature/((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))

Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation

Go Reduced Temperature = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))

Reduced Temperature of Real Gas using Actual and Critical Temperature

Go Reduced Temperature = Temperature/Critical Temperature

< 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 using Redlich Kwong Equation given of 'a' and 'b' Formula

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 using Redlich Kwong Equation given of 'a' and 'b'?

Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' calculator uses 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))) to calculate the Temperature given PRP, The Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' formula is defined as is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless. Temperature given PRP is denoted by T_PRP symbol.

How to calculate Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' using this online calculator? To use this online calculator for Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b', enter Temperature of Gas (T_g), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b) and hit the calculate button. Here is how the Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' calculation can be explained with given input values -> 771.5749 = 85.5/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3))).

FAQ

What is Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'?

The Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' formula is defined as is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as T_PRP = T_g/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))) or 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))). Temperature of Gas is the degree or intensity of heat present in a substance or object, Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas & Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

How to calculate Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'?

The Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' formula is defined as is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using 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))). To calculate Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b', you need Temperature of Gas (T_g), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b). With our tool, you need to enter the respective value for Temperature of Gas, Redlich–Kwong Parameter a & Redlich–Kwong 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 Temperature given PRP?

In this formula, Temperature given PRP uses Temperature of Gas, Redlich–Kwong Parameter a & Redlich–Kwong parameter b. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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