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

✖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 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 is the degree or intensity of heat present in a substance or object.ⓘ Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters [T]

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

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
T = T_r*(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 - (Measured in Kelvin) - Temperature 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 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

Reduced Temperature: 10 --> 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 = T_r*(sqrt((a_PR*P_c)/(0.45724*([R]^2)))) --> 10*(sqrt((0.1*218)/(0.45724*([R]^2))))

Evaluating ... ...

T = 8.30466185373888

STEP 3: Convert Result to Output's Unit

8.30466185373888 Kelvin --> No Conversion Required

FINAL ANSWER

8.30466185373888 ≈ 8.304662 Kelvin <-- Temperature

(Calculation completed in 00.004 seconds)

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

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

LaTeX Go

Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
T = T_r*(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 Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters?

Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters calculator uses Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))) to calculate the Temperature, The Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters 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 given Peng Robinson Parameter a, and other Reduced and Critical Parameters using this online calculator? To use this online calculator for Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters, enter Reduced Temperature (T_r), Peng–Robinson Parameter a (a_PR) & Critical Pressure (P_c) and hit the calculate button. Here is how the Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters calculation can be explained with given input values -> 8.304662 = 10*(sqrt((0.1*218)/(0.45724*([R]^2)))).

FAQ

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

The Actual Temperature given Peng Robinson Parameter a, and 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 = T_r*(sqrt((a_PR*P_c)/(0.45724*([R]^2)))) or Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))). Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, 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 Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters?

The Actual Temperature given Peng Robinson Parameter a, and 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 = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))). To calculate Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters, you need Reduced Temperature (T_r), Peng–Robinson Parameter a (a_PR) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Reduced 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?

In this formula, Temperature uses Reduced Temperature, Peng–Robinson Parameter a & Critical Pressure. 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*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
Temperature = Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))

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