FormulaDen.com

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

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula

GoReduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula

GoReduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters Formula

Fx Copy

LaTeX Copy

Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless. Check FAQs

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

T_r - Reduced Temperature?T - Temperature?a_PR - Peng–Robinson Parameter a?p - Pressure?P_r - Reduced Pressure?[R] - Universal gas constant?

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Example

With values

With units

Only example

Here is how the Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters equation looks like with Values.

Here is how the Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters equation looks like with Units.

Here is how the Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters equation looks like.

0.3239 = \frac{85}{\sqrt{\frac{0.1 \cdot (\frac{800}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}}}

0.3239 = \frac{85K}{\sqrt{\frac{0.1 \cdot (\frac{800Pa}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}}}

0.3239 = \frac{85}{\sqrt{\frac{0.1 \cdot (\frac{800}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}}}

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 Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Solution

Follow our step by step solution on how to calculate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T r = \frac{85K}{\sqrt{\frac{0.1 \cdot (\frac{800Pa}{3.7E-5})}{0.45724 \cdot ({[R]}^{2})}}}

Next Step Substitute values of Constants

∴

T r = \frac{85K}{\sqrt{\frac{0.1 \cdot (\frac{800Pa}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}}}

Next Step Prepare to Evaluate

∴

T r = \frac{85}{\sqrt{\frac{0.1 \cdot (\frac{800}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}}}

Next Step Evaluate

∴

T r = 0.32389847036851

LAST Step Rounding Answer

∴

T r = 0.3239

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula Elements

Variables

Constants

Functions

Reduced Temperature

Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Temperature

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

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

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

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

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 Reduced Temperature

Go Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter

T r = {(1 - (\frac{\sqrt{α} - 1}{k}))}^{2}

Go Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters

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

Go Reduced Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters

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

Go Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters

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

Other formulas in Reduced Temperature category

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

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

How to Evaluate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters evaluator uses Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))) to evaluate the Reduced Temperature, The Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless. Reduced Temperature is denoted by T_r symbol.

How to evaluate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters using this online evaluator? To use this online evaluator for Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters, enter Temperature (T), Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button.

FAQs on Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters

What is the formula to find Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

The formula of Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters is expressed as Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))). Here is an example- 0.323898 = 85/(sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2)))).

How to calculate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

With Temperature (T), Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r) we can find Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters using the formula - Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))). This formula also uses Universal gas constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Reduced Temperature?

Here are the different ways to Calculate Reduced Temperature-

Reduced Temperature=(1-((sqrt(α-function)-1)/Pure Component Parameter))^2
Reduced Temperature=Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Reduced Temperature=Temperature/((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula

​GoReduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula

​GoReduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters Formula

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Example

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Solution

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula Elements

Other Formulas to find Reduced Temperature

Other formulas in Reduced Temperature category

How to Evaluate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

FAQs on Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters

Variable Name

GoReduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula

GoReduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters Formula