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

✖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%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖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%

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters [p]

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

STEP 0: Pre-Calculation Summary

Formula Used

Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)
p = P_r*(0.45724*([R]^2)*((T/T_r)^2)/a_PR)
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Reduced Pressure: 3.675E-05 --> No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Peng–Robinson Parameter a: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = P_r*(0.45724*([R]^2)*((T/T_r)^2)/a_PR) --> 3.675E-05*(0.45724*([R]^2)*((85/10)^2)/0.1)

Evaluating ... ...

p = 0.839281752856485

STEP 3: Convert Result to Output's Unit

0.839281752856485 Pascal --> No Conversion Required

FINAL ANSWER

0.839281752856485 ≈ 0.839282 Pascal <-- Pressure

(Calculation completed in 00.021 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 Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula

LaTeX Go

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

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

Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculator uses Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a) to calculate the Pressure, The Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the force that the gas exerts on the container boundaries. Pressure is denoted by p symbol.

How to calculate Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters using this online calculator? To use this online calculator for Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters, enter Reduced Pressure (P_r), Temperature (T), Reduced Temperature (T_r) & Peng–Robinson Parameter a (a_PR) and hit the calculate button. Here is how the Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculation can be explained with given input values -> 0.839282 = 3.675E-05*(0.45724*([R]^2)*((85/10)^2)/0.1).

FAQ

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

The Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the force that the gas exerts on the container boundaries and is represented as p = P_r*(0.45724*([R]^2)*((T/T_r)^2)/a_PR) or Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a). Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Temperature is the degree or intensity of heat present in a substance or object, 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.

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

The Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the force that the gas exerts on the container boundaries is calculated using Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a). To calculate Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters, you need Reduced Pressure (P_r), Temperature (T), Reduced Temperature (T_r) & Peng–Robinson Parameter a (a_PR). With our tool, you need to enter the respective value for Reduced Pressure, Temperature, Reduced Temperature & Peng–Robinson Parameter a 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 Pressure?

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

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

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