1. What is Operating Line Slope for Absorption Column?

Definition: The operating line slope (L/G) represents the ratio of liquid to gas flow rates in an absorption column on solute-free basis.

Purpose: It's a crucial parameter in absorption column design that determines the relationship between liquid and gas phase compositions.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \frac{L}{G} \) — Operating line slope (liquid to gas flow ratio)
• \( Y_{N+1} \) — Solute-free mole fraction of gas at inlet
• \( Y_1 \) — Solute-free mole fraction of gas at outlet
• \( X_N \) — Solute-free mole fraction of liquid at outlet
• \( X_0 \) — Solute-free mole fraction of liquid at inlet

Explanation: The slope is calculated as the ratio of the change in gas phase composition to the change in liquid phase composition.

3. Importance of Operating Line Slope

Details: The slope determines the mass transfer driving force and affects column efficiency. Proper slope selection ensures effective solute transfer from gas to liquid phase.

4. Using the Calculator

Tips: Enter all four mole fraction values (must be between 0 and 1). The denominator (X_N - X₀) cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for L/G ratio?
A: Typical values range from 0.5 to 3.0, depending on the absorption system and desired recovery.

Q2: How does L/G ratio affect column performance?
A: Higher L/G ratios generally increase absorption efficiency but require more liquid flow, increasing operating costs.

Q3: What if I get a negative slope?
A: Negative slopes are physically impossible in absorption. Check your input values for consistency.

Q4: How is this related to the equilibrium line?
A: The operating line must always be above the equilibrium line for absorption to occur.

Q5: What units are used for the mole fractions?
A: All mole fractions are solute-free and dimensionless (moles solute/moles solute-free carrier).