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

✖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%
✖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%

✖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 a, and other Actual and Reduced Parameters [P_r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Real Gas Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

Pressure: 800 Pascal --> 800 Pascal 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_r = p/(0.45724*([R]^2)*((T/T_r)^2)/a_PR) --> 800/(0.45724*([R]^2)*((85/10)^2)/0.1)

Evaluating ... ...

P_r = 0.0350299525754462

STEP 3: Convert Result to Output's Unit

0.0350299525754462 --> No Conversion Required

FINAL ANSWER

0.0350299525754462 ≈ 0.03503 <-- Reduced Pressure

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has verified this Calculator and 500+ more calculators!

< Reduced Pressure Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

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

LaTeX Go

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

Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculator uses Reduced Pressure = Pressure/(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a) to calculate the Reduced Pressure, The Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced 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 P_r symbol.

How to calculate Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters using this online calculator? To use this online calculator for Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters, enter Pressure (p), Temperature (T), Reduced Temperature (T_r) & Peng–Robinson Parameter a (a_PR) and hit the calculate button. Here is how the Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculation can be explained with given input values -> 0.03503 = 800/(0.45724*([R]^2)*((85/10)^2)/0.1).

FAQ

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

The Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced 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 P_r = p/(0.45724*([R]^2)*((T/T_r)^2)/a_PR) or Reduced Pressure = Pressure/(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

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

In this formula, Reduced Pressure uses Pressure, Temperature, Reduced Temperature & Peng–Robinson Parameter a. We can use 3 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/(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)
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

Home

FREE PDFs

🔍 Search