FormulaDen.com

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

Peng Robinson Parameter a, of Real Gas given Critical Parameters Formula

GoPeng Robinson parameter a, of Real Gas given Reduced and Actual Parameters Formula

GoPeng Robinson Parameter a, using Peng Robinson Equation Formula

Fx Copy

LaTeX Copy

Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas. Check FAQs

a PR = 0.45724 \cdot ({[R]}^{2}) \cdot \frac{{T c}^{2}}{P c}

a_PR - Peng–Robinson Parameter a?T_c - Critical Temperature?P_c - Critical Pressure?[R] - Universal gas constant?

Peng Robinson Parameter a, of Real Gas given Critical Parameters Example

With values

With units

Only example

Here is how the Peng Robinson Parameter a, of Real Gas given Critical Parameters equation looks like with Values.

Here is how the Peng Robinson Parameter a, of Real Gas given Critical Parameters equation looks like with Units.

Here is how the Peng Robinson Parameter a, of Real Gas given Critical Parameters equation looks like.

60696.6405 = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{647^{2}}{218}

60696.6405 = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{647K}^{2}}{218Pa}

60696.6405 = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{647^{2}}{218}

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 Peng Robinson Parameter a, of Real Gas given Critical Parameters

Peng Robinson Parameter a, of Real Gas given Critical Parameters Solution

Follow our step by step solution on how to calculate Peng Robinson Parameter a, of Real Gas given Critical Parameters?

FIRST Step Consider the formula

a PR = 0.45724 \cdot ({[R]}^{2}) \cdot \frac{{T c}^{2}}{P c}

Next Step Substitute values of Variables

∴

a PR = 0.45724 \cdot ({[R]}^{2}) \cdot \frac{{647K}^{2}}{218Pa}

Next Step Substitute values of Constants

∴

a PR = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{647K}^{2}}{218Pa}

Next Step Prepare to Evaluate

∴

a PR = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{647^{2}}{218}

Next Step Evaluate

∴

a PR = 60696.6404965009

LAST Step Rounding Answer

∴

a PR = 60696.6405

Peng Robinson Parameter a, of Real Gas given Critical Parameters Formula Elements

Variables

Constants

Peng–Robinson Parameter a

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

Symbol: a_PR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Peng–Robinson Parameter a

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

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

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 Peng–Robinson Parameter a

Go Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters

a PR = 0.45724 \cdot ({[R]}^{2}) \cdot \frac{{(\frac{T}{T r})}^{2}}{\frac{p}{P r}}

Go Peng Robinson Parameter a, using Peng Robinson Equation

a PR = ((\frac{[R] \cdot T}{V m - b PR}) - p) \cdot \frac{({V m}^{2}) + (2 \cdot b PR \cdot V m) - ({b PR}^{2})}{α}

Go Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters

a PR = ((\frac{[R] \cdot (T c \cdot T r)}{(V m,r \cdot V m,c) - b PR}) - (P r \cdot P c)) \cdot \frac{({(V m,r \cdot V m,c)}^{2}) + (2 \cdot b PR \cdot (V m,r \cdot V m,c)) - ({b PR}^{2})}{α}

Other formulas in Peng Robinson Parameter category

Go Peng Robinson Parameter b of Real Gas given Reduced and Actual Parameters

b PR = 0.07780 \cdot [R] \cdot \frac{\frac{T}{T r}}{\frac{p}{P r}}

Go Peng Robinson Parameter b of Real Gas given Critical Parameters

b para = 0.07780 \cdot [R] \cdot \frac{T c}{P c}

How to Evaluate Peng Robinson Parameter a, of Real Gas given Critical Parameters?

Peng Robinson Parameter a, of Real Gas given Critical Parameters evaluator uses Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure to evaluate the Peng–Robinson Parameter a, The Peng Robinson Parameter a, of Real Gas given Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas. Peng–Robinson Parameter a is denoted by a_PR symbol.

How to evaluate Peng Robinson Parameter a, of Real Gas given Critical Parameters using this online evaluator? To use this online evaluator for Peng Robinson Parameter a, of Real Gas given Critical Parameters, enter Critical Temperature (T_c) & Critical Pressure (P_c) and hit the calculate button.

FAQs on Peng Robinson Parameter a, of Real Gas given Critical Parameters

What is the formula to find Peng Robinson Parameter a, of Real Gas given Critical Parameters?

The formula of Peng Robinson Parameter a, of Real Gas given Critical Parameters is expressed as Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure. Here is an example- 60696.64 = 0.45724*([R]^2)*(647^2)/218.

How to calculate Peng Robinson Parameter a, of Real Gas given Critical Parameters?

With Critical Temperature (T_c) & Critical Pressure (P_c) we can find Peng Robinson Parameter a, of Real Gas given Critical Parameters using the formula - Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure. This formula also uses Universal gas constant .

What are the other ways to Calculate Peng–Robinson Parameter a?

Here are the different ways to Calculate Peng–Robinson Parameter a-

Peng–Robinson Parameter a=0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure)
Peng–Robinson Parameter a=((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/α-function
Peng–Robinson Parameter a=((([R]*(Critical Temperature*Reduced Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b))-(Reduced Pressure*Critical Pressure))*(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2))/α-function

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit