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

✖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 [T_c]			+10% -10%
✖α-function is a function of temperature and the acentric factor.ⓘ α-function [α]			+10% -10%
✖Pure Component Parameter is a function of the acentric factor.ⓘ Pure Component Parameter [k]			+10% -10%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter [T]

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

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2)
T = T_c*((1-((sqrt(α)-1)/k))^2)
This formula uses 1 Functions, 4 Variables

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 - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
α-function - α-function is a function of temperature and the acentric factor.
Pure Component Parameter - Pure Component Parameter is a function of the acentric factor.

STEP 1: Convert Input(s) to Base Unit

Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
α-function: 2 --> No Conversion Required
Pure Component Parameter: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = T_c*((1-((sqrt(α)-1)/k))^2) --> 647*((1-((sqrt(2)-1)/5))^2)

Evaluating ... ...

T = 544.241836069412

STEP 3: Convert Result to Output's Unit

544.241836069412 Kelvin --> No Conversion Required

FINAL ANSWER

544.241836069412 ≈ 544.2418 Kelvin <-- Temperature

(Calculation completed in 00.020 seconds)

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< Peng Robinson Model of Real Gas Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)))

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

LaTeX Go

Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2)
T = T_c*((1-((sqrt(α)-1)/k))^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 Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter calculator uses Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2) to calculate the Temperature, The Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature is denoted by T symbol.

How to calculate Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter using this online calculator? To use this online calculator for Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter, enter Critical Temperature (T_c), α-function (α) & Pure Component Parameter (k) and hit the calculate button. Here is how the Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter calculation can be explained with given input values -> 544.2418 = 647*((1-((sqrt(2)-1)/5))^2).

FAQ

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

The Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T = T_c*((1-((sqrt(α)-1)/k))^2) or Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2). 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, α-function is a function of temperature and the acentric factor & Pure Component Parameter is a function of the acentric factor.

How to calculate Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

The Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2). To calculate Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter, you need Critical Temperature (T_c), α-function (α) & Pure Component Parameter (k). With our tool, you need to enter the respective value for Critical Temperature, α-function & Pure Component Parameter 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?

In this formula, Temperature uses Critical Temperature, α-function & Pure Component Parameter. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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