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

STEP 0: Pre-Calculation Summary
Formula Used
Critical Pressure = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a
Pc = 0.45724*([R]^2)*((T/Tr)^2)/aPR
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
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
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
Pc = 0.45724*([R]^2)*((T/Tr)^2)/aPR --> 0.45724*([R]^2)*((85/10)^2)/0.1
Evaluating ... ...
Pc = 22837.5987171833
STEP 3: Convert Result to Output's Unit
22837.5987171833 Pascal --> No Conversion Required
FINAL ANSWER
22837.5987171833 22837.6 Pascal <-- Critical Pressure
(Calculation completed in 00.004 seconds)

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Critical Pressure Calculators

Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
​ LaTeX ​ Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters
​ LaTeX ​ Go Critical Pressure = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a
Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter b
​ LaTeX ​ Go Critical Pressure = 0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b
Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a
​ LaTeX ​ Go Critical Pressure = 0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a

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

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

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

Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculator uses Critical Pressure = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a to calculate the Critical Pressure, The Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature. Critical Pressure is denoted by Pc symbol.

How to calculate Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters using this online calculator? To use this online calculator for Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters, enter Temperature (T), Reduced Temperature (Tr) & Peng–Robinson Parameter a (aPR) and hit the calculate button. Here is how the Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculation can be explained with given input values -> 22837.6 = 0.45724*([R]^2)*((85/10)^2)/0.1.

FAQ

What is Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters?
The Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature and is represented as Pc = 0.45724*([R]^2)*((T/Tr)^2)/aPR or Critical Pressure = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a. 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 Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters?
The Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature is calculated using Critical Pressure = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a. To calculate Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters, you need Temperature (T), Reduced Temperature (Tr) & Peng–Robinson Parameter a (aPR). With our tool, you need to enter the respective value for 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 Critical Pressure?
In this formula, Critical Pressure uses Temperature, Reduced Temperature & Peng–Robinson Parameter a. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Critical Pressure = 0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a
  • Critical Pressure = 0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b
  • Critical 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))))/Reduced Pressure
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