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

✖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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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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< Reduced Temperature Calculators

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

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

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

LaTeX 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

LaTeX 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

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

< Important Formulae on Different Models of Real Gas Calculators

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])

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

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

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

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

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

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

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

LaTeX Go

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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