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Log Mean Driving Force Based on Mole Fraction Calculator

Log Mean Driving Force Formula:

\[ \Delta y_{lm} = \frac{y_1 - y_2}{\ln\left(\frac{y_1 - y_e}{y_2 - y_e}\right)} \]

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1. What is Log Mean Driving Force?

Definition: The Log Mean Driving Force represents the effective driving force for mass transfer in separation processes like absorption and stripping.

Purpose: It provides a more accurate average driving force when the driving force changes significantly throughout the process.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Delta y_{lm} = \frac{y_1 - y_2}{\ln\left(\frac{y_1 - y_e}{y_2 - y_e}\right)} \]

Where:

Explanation: The formula calculates the logarithmic average of the driving forces at the two ends of the process.

3. Importance of Log Mean Driving Force

Details: It's crucial for designing mass transfer equipment like absorption towers, as it determines the required size and efficiency of the equipment.

4. Using the Calculator

Tips: Enter the mole fractions (values between 0 and 1) for the solute gas at bottom (y₁), at top (y₂), and at equilibrium (yₑ).

5. Frequently Asked Questions (FAQ)

Q1: When should I use log mean driving force?
A: Use it when the driving force varies significantly throughout the process, typically in continuous contact equipment.

Q2: What if y₁ - yₑ equals y₂ - yₑ?
A: In this special case, the driving force is constant and the arithmetic average can be used instead.

Q3: What units does this calculator use?
A: All inputs and outputs are in mole fractions (dimensionless).

Q4: How do I determine equilibrium concentration (yₑ)?
A: yₑ is typically determined from equilibrium relationships like Henry's Law or vapor-liquid equilibrium data.

Q5: Can this be used for liquid-phase concentrations?
A: Yes, the same formula applies for liquid-phase mole fractions (x) instead of gas-phase (y).

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