Thiele Modulus Formula:
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Definition: The Thiele Modulus is a dimensionless number used in chemical reaction engineering to relate the reaction rate to the diffusion rate within a catalyst pore.
Purpose: It helps determine the effectiveness factor of a catalyst and whether the reaction is diffusion-limited or reaction-limited.
The calculator uses the formula:
Where:
Explanation: The formula calculates the ratio of reaction rate to diffusion rate within a catalyst pore.
Details: A high Thiele Modulus indicates diffusion limitations, while a low value suggests reaction limitations. This helps in catalyst design and optimization.
Tips: Enter the pore length in meters, rate constant in mol/m³·s, and diffusion coefficient in m²/s. All values must be > 0.
Q1: What does a Thiele Modulus of 1 mean?
A: A value of 1 indicates that the reaction rate and diffusion rate are comparable in magnitude.
Q2: What's a typical range for Thiele Modulus?
A: Values typically range from 0.01 (reaction-limited) to 100 (diffusion-limited).
Q3: How does Thiele Modulus relate to effectiveness factor?
A: The effectiveness factor decreases as Thiele Modulus increases beyond 1.
Q4: Can this be used for non-catalytic systems?
A: Yes, it can be adapted for any system where reaction and diffusion compete.
Q5: What if I have different units?
A: Convert all units to consistent SI units before calculation (meters, seconds, moles).