1. What is the Dilution Formula?

The dilution formula \( C_f = C_i \times \frac{V_i}{V_f} \) calculates the final concentration of a solution after dilution, where C_i is the initial concentration, V_i is the initial volume, and V_f is the final volume after dilution.

2. How Does the Calculator Work?

The calculator uses the dilution formula:

Where:

• \( C_f \) — Final concentration (mg/mL)
• \( C_i \) — Initial concentration (mg/mL)
• \( V_i \) — Initial volume (mL)
• \( V_f \) — Final volume (mL)

Explanation: This formula demonstrates that the final concentration is proportional to the ratio of initial volume to final volume, maintaining the same amount of solute throughout the dilution process.

3. Importance of Dilution Calculations

Details: Accurate dilution calculations are essential in laboratory settings, pharmaceutical preparations, and chemical processing to achieve desired concentrations for experiments, medications, and industrial applications.

4. Using the Calculator

Tips: Enter initial concentration in mg/mL, initial volume in mL, and final volume in mL. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculator?
A: This calculator uses mg/mL for concentration and mL for volume. Ensure all inputs are in these consistent units for accurate results.

Q2: Can I use this for serial dilutions?
A: Yes, you can use this calculator for individual dilution steps in a serial dilution process by using the output concentration as the new input concentration for subsequent dilutions.

Q3: What if my final volume is less than initial volume?
A: The formula still works mathematically, but practically this would represent concentration rather than dilution, which may not be physically meaningful in most contexts.

Q4: How precise are the results?
A: The calculator provides results rounded to 4 decimal places. For critical applications, consider the precision of your measurement instruments.

Q5: Can this formula be used for other concentration units?
A: Yes, the formula works for any consistent concentration units (e.g., μg/mL, g/L) as long as all concentrations use the same units.