1. What is the F Curve?

The F Curve is the derivative of the E curve and represents the cumulative distribution function of residence times in a chemical reactor system.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F \) — F Curve value
• \( C_{step} \) — Change in concentration of tracer when step input of tracer is given (mol/m³)
• \( C_{A0} \) — Initial concentration of reactant (mol/m³)

Explanation: This formula calculates the F curve by dividing the step change in tracer concentration by the initial reactant concentration.

3. Importance of F Curve Calculation

Details: The F curve is essential for analyzing residence time distribution in chemical reactors, which helps in understanding mixing patterns, reactor performance, and optimizing reaction conditions.

4. Using the Calculator

Tips: Enter C Step and Initial Concentration of Reactant values in mol/m³. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between F curve and E curve?
A: The F curve is the integral of the E curve, representing the cumulative distribution of residence times.

Q2: What does the F curve value represent?
A: The F curve value represents the fraction of fluid elements that have a residence time less than or equal to a given time.

Q3: When should F curve analysis be used?
A: F curve analysis is used in chemical reaction engineering to characterize mixing and flow patterns in reactors.

Q4: Are there limitations to this calculation?
A: This calculation assumes ideal step input and may need adjustments for non-ideal tracer injection conditions.

Q5: What units should be used for concentration values?
A: Consistent units should be used (typically mol/m³), and both input values must be in the same units.