Concentration of Reactant B at Extreme A Calculator

Formula Used:

\[ C_{Bl} = r_B''' \times \left( \frac{1}{k_{Bc} \times a_c} + \frac{1}{\left( \frac{(k_B''' \times p_{Ag})}{H_A} \right) \times \xi_B \times f_s} \right) \]

Reaction Rate of Reactant B:

mol/(m³·s)

Film Coefficient of Catalyst on B:

m/s

External Area of Particle:

m²

Rate Constant of B:

1/s

Pressure of Gaseous A:

Henry Law Constant:

mol/(m³·Pa)

Effectiveness Factor of Reactant B:

Solid Loading into Reactors:

Concentration of Liquid B (mol/m³):

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1. What is Concentration of Reactant B at Extreme A Calculator?

Definition: This calculator determines the concentration of reactant B in the liquid phase at extreme conditions of reactant A.

Purpose: It helps chemical engineers and researchers calculate the concentration of reactant B in gas-liquid reactions with catalyst particles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_{Bl} = r_B''' \times \left( \frac{1}{k_{Bc} \times a_c} + \frac{1}{\left( \frac{(k_B''' \times p_{Ag})}{H_A} \right) \times \xi_B \times f_s} \right) \]

Where:

\( C_{Bl} \) — Concentration of liquid B (mol/m³)
\( r_B''' \) — Reaction rate of reactant 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)
\( p_{Ag} \) — Pressure of gaseous A (Pa)
\( H_A \) — Henry law constant (mol/(m³·Pa))
\( \xi_B \) — Effectiveness factor of reactant B
\( f_s \) — Solid loading into reactors

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

3. Importance of Concentration Calculation

Details: Accurate concentration calculation is crucial for reactor design, process optimization, and understanding reaction kinetics in gas-liquid-solid systems.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. All values must be positive numbers. Effectiveness factor and solid loading should be between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of the effectiveness factor?
A: The effectiveness factor (ξB) represents how much the reaction rate is reduced due to diffusion limitations within the catalyst pores.

Q2: How do I determine the film coefficient (k_Bc)?
A: The film coefficient can be estimated from empirical correlations or measured experimentally in mass transfer studies.

Q3: What does extreme A condition mean?
A: Extreme A condition refers to situations where reactant A is present in large excess or at high pressure, making its concentration effectively constant.

Q4: Can this calculator be used for other reactants?
A: The formula is specific to systems where reactant A is in gas phase and reactant B is in liquid phase with a solid catalyst.

Q5: What are typical values for solid loading (f_s)?
A: Solid loading typically ranges from 0.1 to 0.5 (10% to 50% by volume) in most industrial reactors.