Rate Equation of Reactant B in G/L Reactions Calculator

Reaction Rate Formula:

\[ r_B''' = \left( \frac{1}{\left( \frac{1}{k_{Bc} \cdot a_c} \right) + \left( \frac{1}{(k_B''' \cdot C_{A,d}) \cdot \xi_B \cdot f_s} \right)} \right) \cdot C_{Bl} \]

Film Coefficient of Catalyst on B:

m/s

External Area of Particle:

m²

Rate Constant of B:

1/s

Diffused Concentration of Reactant A:

mol/m³

Effectiveness Factor of Reactant B:

Solid Loading into Reactors:

Concentration of Liquid B:

mol/m³

Reaction Rate of Reactant B (mol/m³·s):

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1. What is the Rate Equation of Reactant B in G/L Reactions?

Definition: This calculator determines the reaction rate of reactant B in gas-liquid (G/L) reactions, accounting for mass transfer and reaction kinetics.

Purpose: It helps chemical engineers design and analyze reactors where gas and liquid phases interact with solid catalysts.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_B''' = \left( \frac{1}{\left( \frac{1}{k_{Bc} \cdot a_c} \right) + \left( \frac{1}{(k_B''' \cdot C_{A,d}) \cdot \xi_B \cdot f_s} \right)} \right) \cdot C_{Bl} \]

Where:

\( r_B''' \) — Reaction rate of B (mol/m³·s)
\( k_{Bc} \) — Film coefficient of catalyst on B (m/s)
\( a_c \) — External area of particle (m²)
\( k_B''' \) — Rate constant of B (1/s)
\( C_{A,d} \) — Diffused concentration of reactant A (mol/m³)
\( \xi_B \) — Effectiveness factor of reactant B
\( f_s \) — Solid loading into reactors
\( C_{Bl} \) — Concentration of liquid B (mol/m³)

Explanation: The formula combines mass transfer resistance (first term in denominator) and reaction resistance (second term in denominator).

3. Importance of Reaction Rate Calculation

Details: Accurate reaction rate determination is crucial for reactor sizing, process optimization, and predicting conversion in multiphase systems.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Default values are provided based on typical conditions.

5. Frequently Asked Questions (FAQ)

Q1: What does the effectiveness factor represent?
A: It accounts for the reduction in reaction rate due to pore diffusion limitations within catalyst particles.

Q2: How is the film coefficient determined?
A: It's typically obtained from empirical correlations or experimental measurements of mass transfer.

Q3: What's a typical range for solid loading?
A: Usually between 0.1 and 0.5, but can vary depending on reactor type and process requirements.

Q4: How does diffused concentration differ from bulk concentration?
A: Diffused concentration is at the catalyst surface, often lower than bulk due to mass transfer resistance.

Q5: When would this equation not be applicable?
A: For very fast reactions where mass transfer completely controls the rate, or for non-catalytic systems.