Rate Equation of Reactant A for Straight Mass Transfer for Gas Film using Surface Area of Contactor Calculator

Reaction Rate Formula:

\[ r''_A = k_{Ag} \times (p_A - p_{Ai}) \]

Gas Phase Mass Transfer Coefficient (k_Ag):

m/s

Partial Pressure of Reactant A (p_A):

Partial Pressure at Interface (p_Ai):

Reaction Rate based on Surface Area (r''_A):

mol/(m³·s)

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1. What is the Rate Equation for Straight Mass Transfer?

Definition: This calculator determines the reaction rate based on surface area for gas film mass transfer using the partial pressure difference.

Purpose: It helps chemical engineers calculate the mass transfer rate in gas-liquid systems when considering the surface area of the contactor.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r''_A = k_{Ag} \times (p_A - p_{Ai}) \]

Where:

\( r''_A \) — Reaction rate based on surface area (mol/(m³·s))
\( k_{Ag} \) — Gas phase mass transfer coefficient (m/s)
\( p_A \) — Partial pressure of reactant A in bulk gas (Pa)
\( p_{Ai} \) — Partial pressure of reactant A at interface (Pa)

Explanation: The reaction rate is proportional to the mass transfer coefficient and the driving force (partial pressure difference).

3. Importance of Reaction Rate Calculation

Details: Accurate reaction rate calculation is crucial for designing chemical reactors, predicting reaction outcomes, and optimizing process conditions.

4. Using the Calculator

Tips: Enter the gas phase mass transfer coefficient, partial pressures of reactant A in bulk and at interface. All values must be positive, with pA ≥ pAi.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical meaning of k_Ag?
A: The gas phase mass transfer coefficient represents how easily a component moves from the gas bulk to the gas-liquid interface.

Q2: How is p_Ai determined experimentally?
A: It's typically determined at equilibrium conditions or measured using specialized interfacial sensors.

Q3: What factors affect k_Ag?
A: Temperature, pressure, gas velocity, system geometry, and physical properties of the gas all influence k_Ag.

Q4: When would p_A equal p_Ai?
A: At equilibrium conditions, when there's no driving force for mass transfer.

Q5: Can this equation be used for liquid films?
A: No, this specific equation is for gas films. Liquid films would use concentrations rather than partial pressures.