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

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

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

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Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Check FAQs

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

P_r - Reduced Pressure?p - Pressure?T_c - Critical Temperature?a - Redlich–Kwong Parameter a?[R] - Universal gas constant?

Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a' Example

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

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

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

3.8E-7 = \frac{800}{\frac{0.42748 \cdot ({8.3145}^{2}) \cdot (647^{\frac{5}{2}})}{0.15}}

3.8E-7 = \frac{800Pa}{\frac{0.42748 \cdot ({8.3145}^{2}) \cdot ({647K}^{\frac{5}{2}})}{0.15}}

3.8E-7 = \frac{800}{\frac{0.42748 \cdot ({8.3145}^{2}) \cdot (647^{\frac{5}{2}})}{0.15}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P r = \frac{800Pa}{\frac{0.42748 \cdot ({[R]}^{2}) \cdot ({647K}^{\frac{5}{2}})}{0.15}}

Next Step Substitute values of Constants

∴

P r = \frac{800Pa}{\frac{0.42748 \cdot ({8.3145}^{2}) \cdot ({647K}^{\frac{5}{2}})}{0.15}}

Next Step Prepare to Evaluate

∴

P r = \frac{800}{\frac{0.42748 \cdot ({8.3145}^{2}) \cdot (647^{\frac{5}{2}})}{0.15}}

Next Step Evaluate

∴

P r = 3.81361084131249E-07

LAST Step Rounding Answer

∴

P r = 3.8E-7

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

Variables

Constants

Reduced Pressure

Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Reduced Pressure

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

Critical Temperature

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.

Symbol: T_c

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Critical Temperature

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

Other Formulas to find Reduced Pressure

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}})}}

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

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

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 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}

How to Evaluate Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a'?

Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a' evaluator uses Reduced Pressure = Pressure/((0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a) to evaluate the Reduced Pressure, The Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a' formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Reduced Pressure is denoted by P_r symbol.

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

FAQs on Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a'

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

The formula of Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a' is expressed as Reduced Pressure = Pressure/((0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a). Here is an example- 3.8E-7 = 800/((0.42748*([R]^2)*(647^(5/2)))/0.15).

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

With Pressure (p), Critical Temperature (T_c) & Redlich–Kwong Parameter a (a) we can find Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a' using the formula - Reduced Pressure = Pressure/((0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a). This formula also uses Universal gas constant .

What are the other ways to Calculate Reduced Pressure?

Here are the different ways to Calculate Reduced Pressure-

Reduced Pressure=Pressure for rg/((((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/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)

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