Concentration Calculator C1v1 C2v2 V3

Extended Dilution Formula:

\[ C1 \times V1 + C3 \times V3 = C2 \times V2 \]

Concentration 1 (C1):

mol/L

Volume 1 (V1):

Concentration 3 (C3):

mol/L

Volume 3 (V3):

Final Concentration (C2):

mol/L

Final Volume (V2):

Calculated Result:

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1. What is the Extended Dilution Formula?

The extended dilution formula \( C1 \times V1 + C3 \times V3 = C2 \times V2 \) calculates concentrations and volumes when mixing two solutions. It's an extension of the basic C1V1=C2V2 formula that accounts for an additional component.

2. How Does the Calculator Work?

The calculator uses the extended dilution formula:

\[ C1 \times V1 + C3 \times V3 = C2 \times V2 \]

Where:

\( C1 \) — Concentration of first solution (mol/L)
\( V1 \) — Volume of first solution (L)
\( C3 \) — Concentration of second solution (mol/L)
\( V3 \) — Volume of second solution (L)
\( C2 \) — Final concentration (mol/L)
\( V2 \) — Final volume (L)

Explanation: The equation maintains mass balance when two solutions are mixed, accounting for both components in the final mixture.

3. Importance of Dilution Calculations

Details: Accurate dilution calculations are crucial for preparing solutions in chemistry, biology, and medicine, ensuring correct concentrations for experiments and treatments.

4. Using the Calculator

Tips: Enter five known values (leaving one field empty) to calculate the unknown. All values must be positive numbers. The calculator will solve for the single empty field.

5. Frequently Asked Questions (FAQ)

Q1: When should I use this extended formula instead of C1V1=C2V2?
A: Use this when mixing two different solutions where both contribute to the final concentration, rather than just diluting one solution.

Q2: What units should I use?
A: The calculator uses mol/L for concentration and L for volume, but any consistent units will work as long as they're the same for all inputs.

Q3: Can I use this for more than two components?
A: This calculator handles two components. For more components, you would need to extend the formula further (C1V1 + C3V3 + C4V4... = C2V2).

Q4: What if I get a negative result?
A: Negative results indicate incompatible inputs - check that your values are correct and physically possible.

Q5: How precise are the calculations?
A: Results are rounded to 4 decimal places. For critical applications, verify with additional methods.