Final Rate Expression for Straight Mass Transfer Calculator

Reaction Rate Formula:

\[ r''''_A = \frac{1}{\left(\frac{1}{k_{Ag} \cdot a} + \frac{H_A}{k_{Al} \cdot a}\right)} \cdot (p_A - H_A \cdot C_A) \]

Gas Phase Mass Transfer Coefficient (k_Ag):

m/s

Interfacial Area (a):

1/m

Henry Law Constant (H_A):

mol/(m³·Pa)

Liquid Phase Mass Transfer Coefficient (k_Al):

m/s

Partial Pressure of Reactant A (p_A):

Reactant Concentration (C_A):

mol/m³

Reaction Rate (mol/(m³·s)):

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1. What is the Final Rate Expression for Straight Mass Transfer?

Definition: This calculator determines the reaction rate based on the volume of the contactor in mass transfer systems.

Purpose: It helps chemical engineers and researchers calculate the rate of mass transfer between gas and liquid phases in reactors.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r''''_A = \frac{1}{\left(\frac{1}{k_{Ag} \cdot a} + \frac{H_A}{k_{Al} \cdot a}\right)} \cdot (p_A - H_A \cdot C_A) \]

Where:

\( r''''_A \) — Reaction rate based on volume of contactor (mol/(m³·s))
\( k_{Ag} \) — Gas phase mass transfer coefficient (m/s)
\( a \) — Interfacial area (1/m)
\( H_A \) — Henry law constant (mol/(m³·Pa))
\( k_{Al} \) — Liquid phase mass transfer coefficient (m/s)
\( p_A \) — Partial pressure of reactant A (Pa)
\( C_A \) — Reactant concentration (mol/m³)

Explanation: The formula accounts for resistances in both gas and liquid phases and the driving force for mass transfer.

3. Importance of Reaction Rate Calculation

Details: Accurate reaction rate calculation is crucial for designing efficient reactors, optimizing reaction conditions, and predicting system performance.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. The calculator will compute the reaction rate based on the volume of the contactor.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of the interfacial area?
A: The interfacial area represents the contact area between gas and liquid phases per unit volume of the contactor.

Q2: How do I determine the Henry's law constant?
A: Henry's law constant is typically found in chemical engineering handbooks or determined experimentally for specific gas-liquid systems.

Q3: What affects the mass transfer coefficients?
A: Mass transfer coefficients depend on fluid properties, flow conditions, and system geometry.

Q4: Can this calculator handle negative reaction rates?
A: Yes, negative values indicate mass transfer in the opposite direction (from liquid to gas phase).

Q5: What units should I use for consistent results?
A: Use the units specified in the input fields (SI units) for proper calculation.