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Thiele Modulus Formula

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

M T = L \cdot \sqrt{\frac{k}{D f}}

M_T - Thiele Modulus?L - Length of Catalyst Pore?k - Rate Constant?D_f - Diffusion Coefficient?

Thiele Modulus Example

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Here is how the Thiele Modulus equation looks like with Values.

Here is how the Thiele Modulus equation looks like with Units.

Here is how the Thiele Modulus equation looks like.

0.34 = 0.09 \cdot \sqrt{\frac{12.5}{0.876}}

0.34 = 0.09m \cdot \sqrt{\frac{12.5mol/m³*s}{0.876m²/s}}

0.34 = 0.09 \cdot \sqrt{\frac{12.5}{0.876}}

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Thiele Modulus Solution

Follow our step by step solution on how to calculate Thiele Modulus?

FIRST Step Consider the formula

M T = L \cdot \sqrt{\frac{k}{D f}}

Next Step Substitute values of Variables

∴

M T = 0.09m \cdot \sqrt{\frac{12.5mol/m³*s}{0.876m²/s}}

Next Step Prepare to Evaluate

∴

M T = 0.09 \cdot \sqrt{\frac{12.5}{0.876}}

Next Step Evaluate

∴

M T = 0.339973810433718

LAST Step Rounding Answer

∴

M T = 0.34

Thiele Modulus Formula Elements

Variables

Functions

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

Length of Catalyst Pore

Length of Catalyst Pore, often referred to as the "pore length," is a characteristic dimension of the internal structure of a catalyst.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Catalyst Pore

Rate Constant

Rate Constant is a fundamental parameter in chemical kinetics that quantifies the rate at which a chemical reaction occurs.

Symbol: k

Measurement: Reaction RateUnit: mol/m³*s

Note: Value should be greater than 0.

Formulas to find Rate Constant

Diffusion Coefficient

Diffusion Coefficient is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.

Symbol: D_f

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient

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 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 Thiele Modulus?

Thiele Modulus evaluator uses Thiele Modulus = Length of Catalyst Pore*sqrt(Rate Constant/Diffusion Coefficient) to evaluate the Thiele Modulus, Thiele Modulus formula is defined as a dimensionless parameter used to characterize the effectiveness of a catalyst particle in terms of diffusional limitations. It is commonly employed in the context of heterogeneous catalysis, where a solid catalyst is involved in a chemical reaction, and reactants must diffuse through the catalyst particle to reach the active sites. Thiele Modulus is denoted by M_T symbol.

How to evaluate Thiele Modulus using this online evaluator? To use this online evaluator for Thiele Modulus, enter Length of Catalyst Pore (L), Rate Constant (k) & Diffusion Coefficient (D_f) and hit the calculate button.

FAQs on Thiele Modulus

What is the formula to find Thiele Modulus?

The formula of Thiele Modulus is expressed as Thiele Modulus = Length of Catalyst Pore*sqrt(Rate Constant/Diffusion Coefficient). Here is an example- 0.339974 = 0.09*sqrt(12.5/0.876).

How to calculate Thiele Modulus?

With Length of Catalyst Pore (L), Rate Constant (k) & Diffusion Coefficient (D_f) we can find Thiele Modulus using the formula - Thiele Modulus = Length of Catalyst Pore*sqrt(Rate Constant/Diffusion Coefficient). This formula also uses Square Root Function function(s).

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Thiele Modulus Formula

Thiele Modulus Example

Thiele Modulus Solution

Thiele Modulus Formula Elements

Other formulas in Solid Catalyzed Reactions category

How to Evaluate Thiele Modulus?

FAQs on Thiele Modulus

Variable Name