Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical 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%
✖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%
✖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 given PRP 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 Reduced and Critical Parameters [P_PRP]

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Formula

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

Formula

P PRP = P r \cdot (0.45724 \cdot ({[R]}^{2}) \cdot \frac{{T c}^{2}}{a PR})

Example

4862.711 Pa = 3.675E-5 \cdot (0.45724 \cdot ({[R]}^{2}) \cdot \frac{{647 K}^{2}}{0.1})

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

STEP 0: Pre-Calculation Summary

Formula Used

Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
P_PRP = P_r*(0.45724*([R]^2)*(T_c^2)/a_PR)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Pressure given PRP - (Measured in Pascal) - Pressure given PRP 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.
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.

STEP 1: Convert Input(s) to Base Unit

Reduced Pressure: 3.675E-05 --> No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Peng–Robinson Parameter a: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_PRP = P_r*(0.45724*([R]^2)*(T_c^2)/a_PR) --> 3.675E-05*(0.45724*([R]^2)*(647^2)/0.1)

Evaluating ... ...

P_PRP = 4862.71135337717

STEP 3: Convert Result to Output's Unit

4862.71135337717 Pascal --> No Conversion Required

FINAL ANSWER

4862.71135337717 ≈ 4862.711 Pascal <-- Pressure given PRP

(Calculation completed in 00.004 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

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

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

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

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)))

< Important Formulae on Different Models of Real Gas Calculators

Temperature of Real Gas using Peng Robinson Equation

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

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

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

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

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

Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
P_PRP = P_r*(0.45724*([R]^2)*(T_c^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 Reduced and Critical Parameters?

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

How to calculate Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters using this online calculator? To use this online calculator for Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters, enter Reduced Pressure (P_r), Critical Temperature (T_c) & Peng–Robinson Parameter a (a_PR) and hit the calculate button. Here is how the Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters calculation can be explained with given input values -> 4862.711 = 3.675E-05*(0.45724*([R]^2)*(647^2)/0.1).

FAQ

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

The Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters formula is defined as the force that the gas exerts on the container boundaries and is represented as P_PRP = P_r*(0.45724*([R]^2)*(T_c^2)/a_PR) or Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical 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, 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 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 Reduced and Critical Parameters?

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

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