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

✖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%

✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters [P_c]

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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
P_c = 0.45724*([R]^2)*((T/T_r)^2)/a_PR
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

P_c = 0.45724*([R]^2)*((T/T_r)^2)/a_PR --> 0.45724*([R]^2)*((85/10)^2)/0.1

Evaluating ... ...

P_c = 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 00.020 seconds)

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

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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
P_c = 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 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 P_c 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 (T_r) & Peng–Robinson Parameter a (a_PR) 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 P_c = 0.45724*([R]^2)*((T/T_r)^2)/a_PR 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 (T_r) & Peng–Robinson Parameter a (a_PR). 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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