Rate Equation of Reactant B at Extreme A Calculator

Reaction Rate Formula:

\[ rB''' = \left(\frac{1}{\left(\frac{1}{kBc \cdot ac}\right) + \left(\frac{1}{\left(\frac{kB''' \cdot pAg}{HA}\right) \cdot ξB \cdot fs}\right)}\right) \cdot CBl \]

Film Coefficient of Catalyst on B (kBc):

m/s

External Area of Particle (ac):

m²

Rate Constant of B (kB'''):

1/s

Pressure of Gaseous A (pAg):

Henry Law Constant (HA):

mol/(m³·Pa)

Effectiveness Factor (ξB):

Solid Loading (fs):

Concentration of Liquid B (CBl):

mol/m³

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

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1. What is the Rate Equation of Reactant B at Extreme A?

Definition: This calculator computes the reaction rate of reactant B in a gas-liquid reaction system where reactant A is in excess.

Purpose: It helps chemical engineers design and analyze reactors for gas-liquid reactions with solid catalysts.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ rB''' = \left(\frac{1}{\left(\frac{1}{kBc \cdot ac}\right) + \left(\frac{1}{\left(\frac{kB''' \cdot pAg}{HA}\right) \cdot ξB \cdot fs}\right)}\right) \cdot CBl \]

Where:

\( rB''' \) — Reaction rate of B (mol/m³·s)
\( kBc \) — Film coefficient of catalyst on B (m/s)
\( ac \) — External area of particle (m²)
\( kB''' \) — Rate constant of B (1/s)
\( pAg \) — Pressure of gaseous A (Pa)
\( HA \) — Henry's law constant (mol/m³·Pa)
\( ξB \) — Effectiveness factor of reactant B
\( fs \) — Solid loading into reactors
\( CBl \) — Concentration of liquid B (mol/m³)

Explanation: The formula accounts for both external mass transfer resistance and reaction kinetics.

3. Importance of Reaction Rate Calculation

Details: Accurate reaction rate estimation is crucial for reactor design, process optimization, and scaling up chemical processes.

4. Using the Calculator

Tips: Enter all required parameters. Default values are provided for reference. All values must be positive except concentration which can be zero.

5. Frequently Asked Questions (FAQ)

Q1: What does "Extreme A" mean in this context?
A: It means reactant A is present in such excess that its concentration doesn't significantly change during the reaction.

Q2: How do I determine the effectiveness factor?
A: The effectiveness factor is typically determined experimentally or through Thiele modulus calculations.

Q3: What units should I use for input values?
A: Use the units specified in the input fields (m/s, m², 1/s, Pa, etc.).

Q4: Can this calculator be used for other reactants?
A: This specific formula is designed for reactant B in systems where A is in excess.

Q5: What if I get a very small reaction rate?
A: Check your input parameters - particularly the rate constant and effectiveness factor which greatly influence the result.