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

✖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%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%

✖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 given Peng Robinson Parameter a, and other Actual and Reduced Parameters [T_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Peng–Robinson Parameter a - Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

STEP 1: Convert Input(s) to Base Unit

Peng–Robinson Parameter a: 0.1 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_c = sqrt((a_PR*(p/P_r))/(0.45724*([R]^2))) --> sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2)))

Evaluating ... ...

T_c = 262.427914226618

STEP 3: Convert Result to Output's Unit

262.427914226618 Kelvin --> No Conversion Required

FINAL ANSWER

262.427914226618 ≈ 262.4279 Kelvin <-- Critical Temperature

(Calculation completed in 00.014 seconds)

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< Critical Temperature Calculators

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

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

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

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

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

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

Critical Temperature of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a

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

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

LaTeX Go

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

Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculator uses Critical Temperature = sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))) to calculate the Critical Temperature, The Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature is denoted by T_c symbol.

How to calculate Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters using this online calculator? To use this online calculator for Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters, enter Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculation can be explained with given input values -> 262.4279 = sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2))).

FAQ

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

The Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as T_c = sqrt((a_PR*(p/P_r))/(0.45724*([R]^2))) or Critical Temperature = sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))). Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

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

The Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the highest temperature at which the substance can exist as a liquid is calculated using Critical Temperature = sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))). To calculate Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters, you need Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Peng–Robinson Parameter a, Pressure & Reduced 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 Critical Temperature?

In this formula, Critical Temperature uses Peng–Robinson Parameter a, Pressure & Reduced Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Temperature = Temperature/((1-((sqrt(α-function)-1)/Pure Component Parameter))^2)
Critical Temperature = (Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R])
Critical Temperature = sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))

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