Critical Pressure of Real Gas using Redlich Kwong Equation given '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%
✖Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.ⓘ Redlich–Kwong Parameter a [a]			+10% -10%

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

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Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a
P_c = (0.42748*([R]^2)*(T_c^(5/2)))/a
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.
Redlich–Kwong Parameter a - Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

STEP 1: Convert Input(s) to Base Unit

Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Redlich–Kwong Parameter a: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = (0.42748*([R]^2)*(T_c^(5/2)))/a --> (0.42748*([R]^2)*(647^(5/2)))/0.15

Evaluating ... ...

P_c = 2097749438.23233

STEP 3: Convert Result to Output's Unit

2097749438.23233 Pascal --> No Conversion Required

FINAL ANSWER

2097749438.23233 ≈ 2.1E+9 Pascal <-- Critical Pressure

(Calculation completed in 00.020 seconds)

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< Redlich Kwong Model of Real Gas Calculators

Molar Volume of Real Gas using Redlich Kwong Equation

LaTeX Go Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a))

Pressure of Real Gas using Redlich Kwong Equation

LaTeX Go Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b))

Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'

LaTeX Go Critical Pressure = (((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))

Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'

LaTeX Go Critical Molar Volume = Redlich–Kwong parameter b/((2^(1/3))-1)

Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' Formula

LaTeX Go

Critical Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a
P_c = (0.42748*([R]^2)*(T_c^(5/2)))/a

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 Redlich Kwong Equation given 'a'?

Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' calculator uses Critical Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a to calculate the Critical Pressure, The Critical Pressure of Real Gas using Redlich Kwong Equation given '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 Redlich Kwong Equation given 'a' using this online calculator? To use this online calculator for Critical Pressure of Real Gas using Redlich Kwong Equation given 'a', enter Critical Temperature (T_c) & Redlich–Kwong Parameter a (a) and hit the calculate button. Here is how the Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' calculation can be explained with given input values -> 2.1E+9 = (0.42748*([R]^2)*(647^(5/2)))/0.15.

FAQ

What is Critical Pressure of Real Gas using Redlich Kwong Equation given 'a'?

The Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' formula is defined as the minimum pressure required to liquify a substance at the critical temperature and is represented as P_c = (0.42748*([R]^2)*(T_c^(5/2)))/a or Critical Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong 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 & Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

How to calculate Critical Pressure of Real Gas using Redlich Kwong Equation given 'a'?

The Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' formula is defined as the minimum pressure required to liquify a substance at the critical temperature is calculated using Critical Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a. To calculate Critical Pressure of Real Gas using Redlich Kwong Equation given 'a', you need Critical Temperature (T_c) & Redlich–Kwong Parameter a (a). With our tool, you need to enter the respective value for Critical Temperature & Redlich–Kwong 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 & Redlich–Kwong Parameter a. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Pressure = (((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))
Critical Pressure = (0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b
Critical Pressure = Pressure/(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))

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