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

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✖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%
✖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 [Tc]
+10%
-10%
✖Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter b [bPR]
+10%
-10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters [Pr]
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Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters

Formula
`"P"_{"r"} = "p"/(0.07780*"[R]"*"T"_{"c"}/"b"_{"PR"})`

Example
`"0.229379"="800Pa"/(0.07780*"[R]"*"647K"/"0.12")`

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

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Pressure = Pressure/(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)
Pr = p/(0.07780*[R]*Tc/bPR)
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
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 b - Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
STEP 1: Convert Input(s) to Base Unit
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Peng–Robinson Parameter b: 0.12 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = p/(0.07780*[R]*Tc/bPR) --> 800/(0.07780*[R]*647/0.12)
Evaluating ... ...
Pr = 0.229378743977577
STEP 3: Convert Result to Output's Unit
0.229378743977577 --> No Conversion Required
FINAL ANSWER
0.229378743977577 ≈ 0.229379 <-- Reduced Pressure
(Calculation completed in 00.020 seconds)
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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Peng Robinson Model of Real Gas » Reduced Pressure » Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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6 Reduced Pressure Calculators

Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters
Go Reduced Pressure = ((([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model))-(Peng–Robinson Parameter b^2))))/Critical Pressure for Peng Robinson Model
Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters
Go Reduced 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))))/Critical Pressure
Reduced Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Critical Pressure given PRP = Pressure/(0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b)
Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters
Go Reduced Pressure = Pressure/(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)
Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters
Go Reduced Pressure = Pressure/(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)
Reduced Pressure given Peng Robinson Parameter a, and other Actual and Critical Parameters
Go Reduced Pressure = Pressure/(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)

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

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

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 Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters?

Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters calculator uses Reduced Pressure = Pressure/(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b) to calculate the Reduced Pressure, The Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Reduced Pressure is denoted by Pr symbol.

How to calculate Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters using this online calculator? To use this online calculator for Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters, enter Pressure (p), Critical Temperature (Tc) & Peng–Robinson Parameter b (bPR) and hit the calculate button. Here is how the Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters calculation can be explained with given input values -> 0.382298 = 800/(0.07780*[R]*647/0.12).

FAQ

What is Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters?
The Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless and is represented as Pr = p/(0.07780*[R]*Tc/bPR) or Reduced Pressure = Pressure/(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
How to calculate Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters?
The Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless is calculated using Reduced Pressure = Pressure/(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b). To calculate Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters, you need Pressure (p), Critical Temperature (Tc) & Peng–Robinson Parameter b (bPR). With our tool, you need to enter the respective value for Pressure, Critical Temperature & Peng–Robinson Parameter b 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 Reduced Pressure?
In this formula, Reduced Pressure uses Pressure, Critical Temperature & Peng–Robinson Parameter b. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Reduced Pressure = Pressure/(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
  • Reduced Pressure = Pressure/(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)
  • Reduced 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))))/Critical Pressure
  • Reduced Pressure = ((([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model))-(Peng–Robinson Parameter b^2))))/Critical Pressure for Peng Robinson Model
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