Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a Calculator

✖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%

✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a [P_c]

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Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Pressure = 0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a
P_c = 0.45724*([R]^2)*(T_c^2)/a_PR
This formula uses 1 Constants, 3 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.
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

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_c = 0.45724*([R]^2)*(T_c^2)/a_PR --> 0.45724*([R]^2)*(647^2)/0.1

Evaluating ... ...

P_c = 132318676.282372

STEP 3: Convert Result to Output's Unit

132318676.282372 Pascal --> No Conversion Required

FINAL ANSWER

132318676.282372 ≈ 1.3E+8 Pascal <-- Critical Pressure

(Calculation completed in 00.021 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 of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a Formula

LaTeX Go

Critical Pressure = 0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a
P_c = 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 Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a?

Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a calculator uses Critical Pressure = 0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a to calculate the Critical Pressure, The Critical Pressure of real gas using Peng Robinson equation given Peng Robinson parameter a formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure is denoted by P_c symbol.

How to calculate Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a using this online calculator? To use this online calculator for Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a, enter Critical Temperature (T_c) & Peng–Robinson Parameter a (a_PR) and hit the calculate button. Here is how the Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a calculation can be explained with given input values -> 1.3E+8 = 0.45724*([R]^2)*(647^2)/0.1.

FAQ

What is Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a?

The Critical Pressure of real gas using Peng Robinson equation given Peng Robinson parameter a formula is defined as the minimum pressure required to liquify a substance at the critical temperature and is represented as P_c = 0.45724*([R]^2)*(T_c^2)/a_PR or Critical Pressure = 0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a. 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 Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a?

The Critical Pressure of real gas using Peng Robinson equation given Peng Robinson parameter a formula is defined as the minimum pressure required to liquify a substance at the critical temperature is calculated using Critical Pressure = 0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a. To calculate Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a, you need Critical Temperature (T_c) & Peng–Robinson Parameter a (a_PR). With our tool, you need to enter the respective value for 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.

How many ways are there to calculate Critical Pressure?

In this formula, Critical Pressure uses Critical 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)*((Temperature/Reduced 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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