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Solute Free Mole Fraction of Gas in Inlet based on Mole Fraction Calculator

Formula Used:

\[ Y_{N+1} = \frac{y_{N+1}}{1 - y_{N+1}} \]

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1. What is Solute Free Mole Fraction of Gas in Inlet?

Definition: The Solute Free Mole Fraction of Gas in Inlet is the mole fraction of the Solute in the Gas stream entering the column on solute free basis.

Purpose: This calculation is essential in absorption and stripping processes in chemical engineering to determine the actual concentration of solute in the gas phase.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Y_{N+1} = \frac{y_{N+1}}{1 - y_{N+1}} \]

Where:

Explanation: The formula converts the regular mole fraction (which includes the solute in the total) to a solute-free basis by excluding the solute from the denominator.

3. Importance of Solute Free Mole Fraction

Details: Using solute-free basis simplifies mass balance calculations in absorption towers as the carrier gas flow rate remains constant throughout the column.

4. Using the Calculator

Tips: Enter the gas inlet mole fraction (must be between 0 and 1). The calculator will automatically compute the solute-free mole fraction.

5. Frequently Asked Questions (FAQ)

Q1: Why use solute-free basis instead of regular mole fraction?
A: Solute-free basis simplifies calculations because the carrier gas flow rate remains constant, while total gas flow changes as solute is absorbed.

Q2: What's the range of valid input values?
A: The gas inlet mole fraction must be between 0 (no solute) and 1 (pure solute, which would make the denominator zero).

Q3: When is this calculation most useful?
A: Primarily in absorption and stripping column design and operation in chemical engineering processes.

Q4: How does this relate to liquid-phase calculations?
A: Similar solute-free basis calculations can be done for the liquid phase, but using solvent-free basis instead.

Q5: What happens when yN+1 approaches 1?
A: As the mole fraction approaches 1, the solute-free mole fraction approaches infinity, which is physically unrealistic for absorption processes.

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