Partial Pressure of Gaseous A at Extreme B Calculator

Pressure of Gaseous A Formula:

\[ p_{Ag} = r_A''' \times \left( \frac{1}{k_{Ag} \times a_i} + \frac{H_A}{k_{Al} \times a_i} + \frac{H_A}{k_{Ac} \times a_c} + \frac{H_A}{(k_A''' \times C_{Bl,d}) \times \xi_A \times f_s} \right) \]

Reaction Rate of Reactant A:

mol/m³·s

Gas Phase Mass Transfer Coefficient:

m/s

Inner Area of Particle:

1/m

Henry Law Constant:

mol/m³·Pa

Liquid Phase Mass Transfer Coefficient:

m/s

Film Coefficient of Catalyst on A:

m/s

External Area of Particle:

m²

Rate Constant of A:

1/s

Diffused Concentration of Total Reactant B:

mol/m³

Effectiveness Factor of Reactant A:

Solid Loading into Reactors:

Partial Pressure of Gaseous A (Pa):

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1. What is Partial Pressure of Gaseous A at Extreme B?

Definition: This calculator determines the partial pressure of gaseous reactant A in a system where reactant B is in excess, considering mass transfer and reaction kinetics.

Purpose: It helps chemical engineers design and analyze gas-liquid-solid catalytic reactors where one reactant is in excess.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p_{Ag} = r_A''' \times \left( \frac{1}{k_{Ag} \times a_i} + \frac{H_A}{k_{Al} \times a_i} + \frac{H_A}{k_{Ac} \times a_c} + \frac{H_A}{(k_A''' \times C_{Bl,d}) \times \xi_A \times f_s} \right) \]

Where:

\( p_{Ag} \) — Partial pressure of gaseous A (Pa)
\( r_A''' \) — Reaction rate of reactant A (mol/m³·s)
\( k_{Ag} \) — Gas phase mass transfer coefficient (m/s)
\( a_i \) — Inner area of particle (1/m)
\( H_A \) — Henry's law constant (mol/m³·Pa)
\( k_{Al} \) — Liquid phase mass transfer coefficient (m/s)
\( k_{Ac} \) — Film coefficient of catalyst on A (m/s)
\( a_c \) — External area of particle (m²)
\( k_A''' \) — Rate constant of A (1/s)
\( C_{Bl,d} \) — Diffused concentration of total reactant B (mol/m³)
\( \xi_A \) — Effectiveness factor of reactant A
\( f_s \) — Solid loading into reactors

Explanation: The formula accounts for resistances in gas film, liquid film, catalyst film, and reaction kinetics.

3. Importance of Partial Pressure Calculation

Details: Accurate calculation of partial pressure is crucial for reactor design, process optimization, and safety considerations in chemical processes.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive numbers for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Henry's law constant in this calculation?
A: Henry's constant relates the gas phase concentration to liquid phase concentration, crucial for mass transfer between phases.

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

Q3: What's a typical range for mass transfer coefficients?
A: Gas phase coefficients range 0.01-1 m/s, liquid phase 0.0001-0.01 m/s, depending on system conditions.

Q4: When would I use this calculation?
A: This is particularly useful for three-phase catalytic reactors where one reactant is gaseous and another is in excess.

Q5: How does solid loading affect the result?
A: Higher solid loading increases the available catalyst surface area but may also affect mass transfer characteristics.