Solution Dilution Calculator from 100 mg/mL to 10 mg/mL (250 mL Final Volume)
Diluting a concentrated 100 mg/mL stock solution to 10 mg/mL with a total final volume of 250 mL, typical in pharmaceutical preparations.
Calculates the required volume of stock solution (V1) using the dilution formula C1V1 = C2V2. Enter your C1 — Initial Concentration of Stock Solution, C2 — Desired Final Concentration, V2 — Final Total Volume of Diluted Solution to get an instant required stock solution volume (v1). Formula: (c2 * v2) / c1.
Required Stock Solution Volume (V1)
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How It Works
How It Works
This calculator uses the standard dilution formula: (C2 × V2) / C1. It helps you determine how much of a concentrated stock solution (V1) you need to prepare a weaker solution with a specific final concentration and volume.
You enter the initial concentration (C1), the desired final concentration (C2), and the final total volume of the diluted solution (V2). The calculator rearranges the dilution formula C1V1 = C2V2 to solve for V1.
- C1 is the concentration of the stock (starting) solution.
- C2 is the concentration you want after dilution.
- V2 is the total final volume of the diluted solution.
- The calculator computes V1 using: (C2 × V2) / C1.
- The result is the volume of stock solution needed.
Understanding the Results
The result shows the required stock solution volume (V1) needed to prepare your diluted solution. This value tells you exactly how much of the concentrated solution to measure out.
After measuring V1, you add solvent (such as water) until the total volume reaches V2. The output unit will match the unit you used for V2, such as milliliters (mL) or liters (L).
- The output is labeled: Required Stock Solution Volume (V1).
- The unit will match the unit used for V2.
- Measure this volume from the stock solution.
- Add solvent until the total volume equals V2.
- Always ensure C1 and C2 use the same concentration units.
Frequently Asked Questions
What does the Solution Dilution Calculator calculate?
This calculator determines the volume of concentrated stock solution (V1) required to prepare a diluted solution with a specific final concentration (C2) and final volume (V2). It uses the standard chemistry dilution formula C1V1 = C2V2. The result tells you exactly how much stock solution to measure before adding solvent.
When should I use this calculator?
Use this calculator when you need to prepare a diluted solution from a more concentrated stock solution. It is commonly used in laboratories, classrooms, medical settings, and chemical preparation processes. For example, if you need 100 mL of a 0.5 M solution from a 2.0 M stock, this calculator helps determine the required stock volume.
What units should I use for concentration and volume?
You can use any concentration units (e.g., M, %, mg/mL) as long as C1 and C2 are in the same unit. For volume, V2 can be entered in mL, L, or any other volume unit. The output (V1) will be in the same volume unit as V2.
What happens if the desired concentration (C2) is higher than the stock concentration (C1)?
If C2 is greater than C1, the calculation will produce a value that is not physically practical for dilution. You cannot dilute a solution to make it more concentrated. In this case, you would need a more concentrated stock solution.
Can I use this calculator for serial dilutions?
Yes, but you must calculate each dilution step separately. After preparing the first diluted solution, you can treat it as the new stock solution (C1) for the next step. Repeat the calculation for each stage of the serial dilution process.
Can you provide a practical example?
For example, if your stock solution (C1) is 5 M, and you need 250 mL of a 1 M solution (C2), enter C1 = 5, C2 = 1, and V2 = 250. The calculator applies (C2 × V2) / C1, which equals (1 × 250) / 5 = 50. You would need 50 mL of the stock solution and then add solvent to reach a total volume of 250 mL.
Disclaimer
This calculator provides estimates for informational purposes only. It is not professional advice. Verify results with a qualified professional. Disclaimer.