FormulaDen.com

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

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

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

GoCritical Temperature given Peng Robinson Parameter b and other Actual and Reduced Parameters Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

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

With values

With units

Only example

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

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

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

262.4279 = \sqrt{\frac{0.1 \cdot (\frac{800}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}}

262.4279K = \sqrt{\frac{0.1 \cdot (\frac{800Pa}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}}

262.4279 = \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 Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

T c = 262.427914226618K

LAST Step Rounding Answer

∴

T c = 262.4279K

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

Variables

Constants

Functions

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

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 Critical Temperature

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

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

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

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

Go Critical Temperature of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a

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

Go Critical Temperature of Real Gas using Peng Robinson Equation given Peng Robinson Parameter b

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

Other formulas in Critical Temperature category

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

T real = \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 r}

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

Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters evaluator uses Critical Temperature = sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))) to evaluate the Critical Temperature, The Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature is denoted by T_c symbol.

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

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

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

The formula of Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters is expressed as Critical Temperature = sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))). Here is an example- 262.4279 = sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2))).

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

With Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r) we can find Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters using the formula - Critical 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 Critical Temperature?

Here are the different ways to Calculate Critical Temperature-

Critical Temperature=Temperature/((1-((sqrt(α-function)-1)/Pure Component Parameter))^2)
Critical Temperature=(Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R])
Critical Temperature=sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))

Can the Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters be negative?

No, the Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters, measured in Temperature cannot be negative.

Which unit is used to measure Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Critical Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit