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Effectiveness Factor at First Order Formula

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Effectiveness Factor is term used to measure the resistance to pore diffusion. Check FAQs

ξ = \frac{\tanh (M T)}{M T}

ξ - Effectiveness Factor?M_T - Thiele Modulus?

Effectiveness Factor at First Order Example

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Here is how the Effectiveness Factor at First Order equation looks like with Values.

Here is how the Effectiveness Factor at First Order equation looks like with Units.

Here is how the Effectiveness Factor at First Order equation looks like.

0.9632 = \frac{\tanh (0.34)}{0.34}

0.9632 = \frac{\tanh (0.34)}{0.34}

0.9632 = \frac{\tanh (0.34)}{0.34}

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Effectiveness Factor at First Order Solution

Follow our step by step solution on how to calculate Effectiveness Factor at First Order?

FIRST Step Consider the formula

ξ = \frac{\tanh (M T)}{M T}

Next Step Substitute values of Variables

∴

ξ = \frac{\tanh (0.34)}{0.34}

Next Step Prepare to Evaluate

∴

ξ = \frac{\tanh (0.34)}{0.34}

Next Step Evaluate

∴

ξ = 0.963168808260898

LAST Step Rounding Answer

∴

ξ = 0.9632

Effectiveness Factor at First Order Formula Elements

Variables

Functions

Effectiveness Factor

Effectiveness Factor is term used to measure the resistance to pore diffusion.

Symbol: ξ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Effectiveness Factor

Thiele Modulus

Thiele Modulus is the parameter, which is used for Calculating Effectiveness Factor.

Symbol: M_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Thiele Modulus

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(Number)

Other formulas in Solid Catalyzed Reactions category

Go Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order

C AO = C \cdot (\exp (\frac{r a''' \cdot f \cdot H}{u 0}))

Go Rate of Reaction in Mixed Flow Reactor Containing Catalyst

r' = (\frac{F A0 \cdot X A,out}{W})

Go Rate Constant for Mixed Flow Reactor with Weight of Catalyst

k ' = \frac{X A,out \cdot (1 + ε \cdot X A,out)}{(1 - X A,out) \cdot 𝛕'}

Go Space Time of Mixed Flow Reactor with Weight of Catalyst

𝛕' = \frac{X A,out \cdot (1 + ε \cdot X A,out)}{(1 - X A,out) \cdot k '}

How to Evaluate Effectiveness Factor at First Order?

Effectiveness Factor at First Order evaluator uses Effectiveness Factor = tanh(Thiele Modulus)/Thiele Modulus to evaluate the Effectiveness Factor, The Effectiveness Factor at First Order formula is defined as Effectiveness of a First-Order Reaction on a Solid Catalyst can be expressed in terms of the Thiele modulus. The Thiele modulus is a dimensionless parameter that characterizes the Effectiveness of a Catalyst Particle in terms of Diffusional limitations. Effectiveness Factor is denoted by ξ symbol.

How to evaluate Effectiveness Factor at First Order using this online evaluator? To use this online evaluator for Effectiveness Factor at First Order, enter Thiele Modulus (M_T) and hit the calculate button.

FAQs on Effectiveness Factor at First Order

What is the formula to find Effectiveness Factor at First Order?

The formula of Effectiveness Factor at First Order is expressed as Effectiveness Factor = tanh(Thiele Modulus)/Thiele Modulus. Here is an example- 0.963169 = tanh(0.34)/0.34.

How to calculate Effectiveness Factor at First Order?

With Thiele Modulus (M_T) we can find Effectiveness Factor at First Order using the formula - Effectiveness Factor = tanh(Thiele Modulus)/Thiele Modulus. This formula also uses Hyperbolic Tangent (tanh) function(s).

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