Critical Pressure of Real Gas using Reduced Redlich Kwong Equation 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%
✖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%
✖Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume [V_m,r]			+10% -10%
✖Temperature of Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Gas [T_g]			+10% -10%

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

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Formula

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Critical Pressure of Real Gas using Reduced Redlich Kwong Equation

Formula

P c = \frac{p}{(\frac{3 \cdot T r}{V m,r - 0.26}) - (\frac{1}{0.26 \cdot \sqrt{T g} \cdot V m,r \cdot (V m,r + 0.26)})}

Example

292.0785 Pa = \frac{800 Pa}{(\frac{3 \cdot 10}{11.2 - 0.26}) - (\frac{1}{0.26 \cdot \sqrt{85.5 K} \cdot 11.2 \cdot (11.2 + 0.26)})}

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Critical Pressure of Real Gas using Reduced Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
P_c = p/(((3*T_r)/(V_m,r-0.26))-(1/(0.26*sqrt(T_g)*V_m,r*(V_m,r+0.26))))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
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.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Reduced Molar Volume - Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Reduced Molar Volume: 11.2 --> No Conversion Required
Temperature of Gas: 85.5 Kelvin --> 85.5 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = p/(((3*T_r)/(V_m,r-0.26))-(1/(0.26*sqrt(T_g)*V_m,r*(V_m,r+0.26)))) --> 800/(((3*10)/(11.2-0.26))-(1/(0.26*sqrt(85.5)*11.2*(11.2+0.26))))

Evaluating ... ...

P_c = 292.078506176971

STEP 3: Convert Result to Output's Unit

292.078506176971 Pascal --> No Conversion Required

FINAL ANSWER

292.078506176971 ≈ 292.0785 Pascal <-- Critical Pressure

(Calculation completed in 00.004 seconds)

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< Redlich Kwong Model of Real Gas Calculators

Molar Volume of Real Gas using Redlich Kwong Equation

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

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'

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'

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

< Important Formulae on Different Models of Real Gas Calculators

Temperature of Real Gas using Peng Robinson Equation

Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])

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

Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b

Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters

Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))

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

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

Critical Pressure of Real Gas using Reduced Redlich Kwong Equation Formula

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 Reduced Redlich Kwong Equation?

Critical Pressure of Real Gas using Reduced Redlich Kwong Equation calculator uses 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)))) to calculate the Critical Pressure, The Critical Pressure of Real Gas using Reduced Redlich Kwong Equation 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 Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Critical Pressure of Real Gas using Reduced Redlich Kwong Equation, enter Pressure (p), Reduced Temperature (T_r), Reduced Molar Volume (V_m,r) & Temperature of Gas (T_g) and hit the calculate button. Here is how the Critical Pressure of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> 292.0795 = 800/(((3*10)/(11.2-0.26))-(1/(0.26*sqrt(85.5)*11.2*(11.2+0.26)))).

FAQ

What is Critical Pressure of Real Gas using Reduced Redlich Kwong Equation?

The Critical Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the minimum pressure required to liquify a substance at the critical temperature and is represented as P_c = p/(((3*T_r)/(V_m,r-0.26))-(1/(0.26*sqrt(T_g)*V_m,r*(V_m,r+0.26)))) or 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)))). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole & Temperature of Gas is the degree or intensity of heat present in a substance or object.

How to calculate Critical Pressure of Real Gas using Reduced Redlich Kwong Equation?

The Critical Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the minimum pressure required to liquify a substance at the critical temperature is calculated using 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)))). To calculate Critical Pressure of Real Gas using Reduced Redlich Kwong Equation, you need Pressure (p), Reduced Temperature (T_r), Reduced Molar Volume (V_m,r) & Temperature of Gas (T_g). With our tool, you need to enter the respective value for Pressure, Reduced Temperature, Reduced Molar Volume & Temperature of Gas 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 Pressure, Reduced Temperature, Reduced Molar Volume & Temperature of Gas. 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 = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a
Critical Pressure = (0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b

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