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Pressure of Real Gas using Redlich Kwong Equation Formula

GoActual Pressure using Redlich Kwong Equation given 'a' and 'b' Formula

GoActual Pressure of Real Gas using Redlich Kwong Equation given 'b' Formula

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Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Check FAQs

p = (\frac{[R] \cdot T}{V m - b}) - \frac{a}{\sqrt{T} \cdot V m \cdot (V m + b)}

p - Pressure?T - Temperature?V_m - Molar Volume?b - Redlich–Kwong parameter b?a - Redlich–Kwong Parameter a?[R] - Universal gas constant?

Pressure of Real Gas using Redlich Kwong Equation Example

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Here is how the Pressure of Real Gas using Redlich Kwong Equation equation looks like with Values.

Here is how the Pressure of Real Gas using Redlich Kwong Equation equation looks like with Units.

Here is how the Pressure of Real Gas using Redlich Kwong Equation equation looks like.

31.6919 = (\frac{8.3145 \cdot 85}{22.4 - 0.1}) - \frac{0.15}{\sqrt{85} \cdot 22.4 \cdot (22.4 + 0.1)}

31.6919Pa = (\frac{8.3145 \cdot 85K}{22.4m³/mol - 0.1}) - \frac{0.15}{\sqrt{85K} \cdot 22.4m³/mol \cdot (22.4m³/mol + 0.1)}

31.6919 = (\frac{8.3145 \cdot 85}{22.4 - 0.1}) - \frac{0.15}{\sqrt{85} \cdot 22.4 \cdot (22.4 + 0.1)}

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Pressure of Real Gas using Redlich Kwong Equation Solution

Follow our step by step solution on how to calculate Pressure of Real Gas using Redlich Kwong Equation?

FIRST Step Consider the formula

p = (\frac{[R] \cdot T}{V m - b}) - \frac{a}{\sqrt{T} \cdot V m \cdot (V m + b)}

Next Step Substitute values of Variables

∴

p = (\frac{[R] \cdot 85K}{22.4m³/mol - 0.1}) - \frac{0.15}{\sqrt{85K} \cdot 22.4m³/mol \cdot (22.4m³/mol + 0.1)}

Next Step Substitute values of Constants

∴

p = (\frac{8.3145 \cdot 85K}{22.4m³/mol - 0.1}) - \frac{0.15}{\sqrt{85K} \cdot 22.4m³/mol \cdot (22.4m³/mol + 0.1)}

Next Step Prepare to Evaluate

∴

p = (\frac{8.3145 \cdot 85}{22.4 - 0.1}) - \frac{0.15}{\sqrt{85} \cdot 22.4 \cdot (22.4 + 0.1)}

Next Step Evaluate

∴

p = 31.6918655905664Pa

LAST Step Rounding Answer

∴

p = 31.6919Pa

Pressure of Real Gas using Redlich Kwong Equation Formula Elements

Variables

Constants

Functions

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Molar Volume

Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar Volume

Redlich–Kwong parameter b

Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Redlich–Kwong parameter b

Redlich–Kwong Parameter a

Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Redlich–Kwong Parameter a

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

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.

Syntax: sqrt(Number)

Other Formulas to find Pressure

Go Actual Pressure using Redlich Kwong Equation given 'a' and 'b'

p = (\frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({[R]}^{\frac{1}{3}}) \cdot (a^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot (b^{\frac{5}{3}})}) \cdot P r

Go Actual Pressure of Real Gas using Redlich Kwong Equation given 'b'

p = P r \cdot (\frac{0.08664 \cdot [R] \cdot T c}{b})

Go Actual Pressure of Real Gas using Reduced Redlich Kwong Equation

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

Other formulas in Redlich Kwong Model of Real Gas category

Go Molar Volume of Real Gas using Redlich Kwong Equation

V m = \frac{(\frac{1}{p}) + (\frac{b}{[R] \cdot T})}{(\frac{1}{[R] \cdot T}) - (\frac{\sqrt{T} \cdot b}{a})}

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

P c = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({[R]}^{\frac{1}{3}}) \cdot (a^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot (b^{\frac{5}{3}})}

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

V m,c = \frac{b}{(2^{\frac{1}{3}}) - 1}

Go Reduced Pressure using Redlich Kwong Equation given 'a' and 'b'

P r = \frac{P rg}{\frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({[R]}^{\frac{1}{3}}) \cdot (a^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot (b^{\frac{5}{3}})}}

How to Evaluate Pressure of Real Gas using Redlich Kwong Equation?

Pressure of Real Gas using Redlich Kwong Equation evaluator uses Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b)) to evaluate the Pressure, The Pressure of Real Gas using Redlich Kwong Equation is the pressure exerted on the walls of the container stored in. Pressure is denoted by p symbol.

How to evaluate Pressure of Real Gas using Redlich Kwong Equation using this online evaluator? To use this online evaluator for Pressure of Real Gas using Redlich Kwong Equation, enter Temperature (T), Molar Volume (V_m), Redlich–Kwong parameter b (b) & Redlich–Kwong Parameter a (a) and hit the calculate button.

FAQs on Pressure of Real Gas using Redlich Kwong Equation

What is the formula to find Pressure of Real Gas using Redlich Kwong Equation?

The formula of Pressure of Real Gas using Redlich Kwong Equation is expressed as Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b)). Here is an example- 31.69187 = (([R]*85)/(22.4-0.1))-(0.15)/(sqrt(85)*22.4*(22.4+0.1)).

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

With Temperature (T), Molar Volume (V_m), Redlich–Kwong parameter b (b) & Redlich–Kwong Parameter a (a) we can find Pressure of Real Gas using Redlich Kwong Equation using the formula - Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b)). This formula also uses Universal gas constant and Square Root Function function(s).

What are the other ways to Calculate Pressure?

Here are the different ways to Calculate Pressure-

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))))*Reduced Pressure
Pressure=Reduced Pressure*((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
Pressure=Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))

Can the Pressure of Real Gas using Redlich Kwong Equation be negative?

Yes, the Pressure of Real Gas using Redlich Kwong Equation, measured in Pressure can be negative.

Which unit is used to measure Pressure of Real Gas using Redlich Kwong Equation?

Pressure of Real Gas using Redlich Kwong Equation is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure of Real Gas using Redlich Kwong Equation can be measured.

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Pressure of Real Gas using Redlich Kwong Equation Formula

​GoActual Pressure using Redlich Kwong Equation given 'a' and 'b' Formula

​GoActual Pressure of Real Gas using Redlich Kwong Equation given 'b' Formula

Pressure of Real Gas using Redlich Kwong Equation Example

Pressure of Real Gas using Redlich Kwong Equation Solution

Pressure of Real Gas using Redlich Kwong Equation Formula Elements

Other Formulas to find Pressure

Other formulas in Redlich Kwong Model of Real Gas category

How to Evaluate Pressure of Real Gas using Redlich Kwong Equation?

FAQs on Pressure of Real Gas using Redlich Kwong Equation

Variable Name

GoActual Pressure using Redlich Kwong Equation given 'a' and 'b' Formula

GoActual Pressure of Real Gas using Redlich Kwong Equation given 'b' Formula