FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

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

Fx Copy

LaTeX Copy

Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature. Check FAQs

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}})}

P_c - Critical Pressure?a - Redlich–Kwong Parameter a?b - Redlich–Kwong parameter b?[R] - Universal gas constant?

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

With values

With units

Only example

Here is how the Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' equation looks like with Values.

Here is how the Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' equation looks like with Units.

Here is how the Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' equation looks like.

0.7936 = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({8.3145}^{\frac{1}{3}}) \cdot ({0.15}^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot ({0.1}^{\frac{5}{3}})}

0.7936Pa = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({8.3145}^{\frac{1}{3}}) \cdot ({0.15}^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot ({0.1}^{\frac{5}{3}})}

0.7936 = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({8.3145}^{\frac{1}{3}}) \cdot ({0.15}^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot ({0.1}^{\frac{5}{3}})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

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

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

Follow our step by step solution on how to calculate Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'?

FIRST Step Consider the formula

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}})}

Next Step Substitute values of Variables

∴

P c = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({[R]}^{\frac{1}{3}}) \cdot ({0.15}^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot ({0.1}^{\frac{5}{3}})}

Next Step Substitute values of Constants

∴

P c = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({8.3145}^{\frac{1}{3}}) \cdot ({0.15}^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot ({0.1}^{\frac{5}{3}})}

Next Step Prepare to Evaluate

∴

P c = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({8.3145}^{\frac{1}{3}}) \cdot ({0.15}^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot ({0.1}^{\frac{5}{3}})}

Next Step Evaluate

∴

P c = 0.793588207141964Pa

LAST Step Rounding Answer

∴

P c = 0.7936Pa

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

Variables

Constants

Critical Pressure

Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

Symbol: P_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Critical Pressure

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

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

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

Other Formulas to find Critical Pressure

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

P c = \frac{0.42748 \cdot ({[R]}^{2}) \cdot ({T c}^{\frac{5}{2}})}{a}

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

P c = \frac{0.08664 \cdot [R] \cdot T c}{b}

Go Critical Pressure of Real Gas using Reduced Redlich Kwong Equation

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)})}

Other formulas in Redlich Kwong Model of Real Gas category

Go Pressure of Real Gas using Redlich Kwong Equation

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

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

Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' evaluator uses 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))) to evaluate the Critical Pressure, The Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' is the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure is denoted by P_c symbol.

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

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

What is the formula to find Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'?

The formula of Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' is expressed as 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))). Here is an example- 0.793588 = (((2^(1/3))-1)^(7/3)*([R]^(1/3))*(0.15^(2/3)))/((3^(1/3))*(0.1^(5/3))).

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

With Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b) we can find Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' using the formula - 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))). This formula also uses Universal gas constant .

What are the other ways to Calculate Critical Pressure?

Here are the different ways to Calculate Critical Pressure-

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
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))))

Can the Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' be negative?

No, the Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b', measured in Pressure cannot be negative.

Which unit is used to measure Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'?

Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' 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 Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b' can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit