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Weisz-Prater Criterion (C_WP) Catalyst Internal Diffusion Calculator

Easily calculate and compute weisz-prater criterion (c_wp) catalyst internal diffusion calculator with accurate equations, live formulas, and expert guidance.

Experimentally measured reaction rate in lab reactor.

Solid density of the porous catalyst pellet.

Spherical pellet outer radius (e.g. 2 mm = 0.002 m).

Effective pore diffusion coefficient.

Fluid concentration adjacent to outer catalyst boundary.

Calculated Result
7.48 dimless

Weisz-Prater (C_WP)

Weisz-Prater (C_WP)

7.48 dimless

Weisz Prater Parameter Cwp

7.48

Observed Volumetric Rate Mol M3 S

4.4

Diffusion Limitation Assessment

Severe Pore Diffusion Limitations (C_WP > 1.0, Apparent Rate Mass-Transfer Controlled)

Diffusion Time Scale Sec

76.9

7.48 — dimless

Calculation Breakdown

  1. Applied FormulaEvaluates the Weisz-Prater criterion (C_WP = η·φ²) using only observable experimental reaction rates to determine whether internal pore diffusion skews laboratory kinetics.C_{WP} = \frac{-r'_{A,obs} \rho_p R_p^2}{D_e C_{As}} = \eta \phi^2

Weisz-Prater Criterion Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.93.75.67.5Weisz-Prater (C_WP)

What Is the Weisz-Prater Criterion (C_WP) Catalyst Internal Diffusion Calculator?

This tool computes weisz-prater criterion (c_wp) catalyst internal diffusion calculator with high precision arithmetic.

How Does the Weisz-Prater Criterion (C_WP) Catalyst Internal Diffusion Calculator Work?

Evaluates the Weisz-Prater criterion (C_WP = η·φ²) using only observable experimental reaction rates to determine whether internal pore diffusion skews laboratory kinetics.

Weisz-Prater Criterion (C_WP) Catalyst Internal Diffusion Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

CWP=−rA,obs′ρpRp2DeCAs=ηϕ2C_{WP} = \frac{-r'_{A,obs} \rho_p R_p^2}{D_e C_{As}} = \eta \phi^2

Evaluates the Weisz-Prater criterion (C_WP = η·φ²) using only observable experimental reaction rates to determine whether internal pore diffusion skews laboratory kinetics.

How to Use the Weisz-Prater Criterion (C_WP) Catalyst Internal Diffusion Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Weisz-Prater Criterion (C_WP) Catalyst Internal Diffusion Calculator Example

Input Values:

observedReactionRateMolPerKgS:0.0035
catalystBulkDensityKgPerM3:1250
pelletRadiusMeters:0.002
effectiveDiffusivityM2PerS:5.2e-8
surfaceReactantConcentrationMolPerM3:45
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required dimless.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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