How To Calculate A Dilution (2024)

How To Calculate A Dilution (1)

The simple formula of C1V1 = C2V2 is a lifesaver for those who are wanting to do dilutions.

The formula for calculating a dilution is (C1) (V1) = (C2) (V2) where...

  • C1 is the concentration of the starting solution.
  • V1 is the volume of the starting solution.
  • C2 is the concentration of the final solution.
  • V2 is the volume of the final solution.

Example

We want to dilute a 5 molar (M) solution with water to make 1 liter (L) of a 1M solution. In this case, we know C1, the concentration of the starting solution, C2, the desired final concentration, and V2, the desired final volume. Using the formula we can find how much of the starting solution (V1) we need to make 1 liter of a 1M final solution.

Procedure

Start with the formula and solve for the unknown, V1.

  • (C1) (V1) = (C2) (V2)
  • Solve for V1 by dividing both sides by C1
  • (C1) (V1)/C1 = (C2) (V2)/C1, or V1 = (C2) (V2)/C1

Now, plug in our values.

V1 = (1M)(1L)/5M, or V1 = 0.2L

So, we need 0.2L of the 5M starting solution. To complete the final solution, measure out 0.2L of starting solution into a container, then add enough water to bring the volume up to 1L.

How To Calculate A Dilution (2024)

FAQs

How To Calculate A Dilution? ›

The formula for calculating a dilution is (C1) (V1) = (C2) (V2) where... C1 is the concentration of the starting solution. V1 is the volume of the starting solution. C2 is the concentration of the final solution.

How do you calculate a 1 to 10 dilution? ›

Commonly used dilutions are 1:10 or 1:2. Note that this is expressed as the ratio of the previous solution to the final volume of the dilution. For example, to make a 1:10 dilution, you add 1ml of your solution to 9ml of diluent for a final volume of 10ml.

What is the formula for the dilution factor? ›

The formula for dilution factor (or DF for short) is as follows: DF = (final volume of cells + stain)/(initial volume of cells). For example, If you mix your sample 1:1 with AO/PI, you'll need to add 20 uL AO/PI to 20 uL cells, for a total of 40 uL.

How do you calculate mg mL dilution? ›

You divide the concentration of the stock by the diluted centration to find the dilution factor. Then you take any amount of the stock solution and dilute by the dilution factor. Ex: 20mg/mL divide by 1mg/mL = 20. Here you take any volume of the stock solution V and dilute with distilled water up to 20V.

How do you calculate concentration with dilution factor? ›

A general rule to use in calculating the concentration of solutions in a series is to multiply the original concentration by the first dilution factor, this by the second dilution factor, this by the third dilution factor, and so on until the final concentration is known.

What is a 1 is to 20 dilution? ›

A dilution means that we have 1 part sample per 20 parts total volume. We need 5 mL of total volume. We can use cross multiplication, as seen in the illustration below, to determine the amount of sample required. This means we need 0.25 mL sample in 5 mL of total volume.

How to do a 1 to 5 dilution? ›

Answer: 1:5 dilution = 1/5 dilution = 1 part sample and 4 parts diluent in a total of 5 parts. If you need 10 ml, final volume, then you need 1/5 of 10 ml = 2 ml sample. To bring this 2 ml sample up to a total volume of 10 ml, you must add 10 ml - 2 ml = 8 ml diluent.

How to calculate concentration? ›

Step 1: Identify the mass of the solute. Step 2: Identify the volume of solution. Step 3: Divide the mass of the solute by the volume of solution to find the mass concentration of the solution.

What is a 1 dilution factor? ›

A dilution factor is the ratio of the final volume of the diluted solution to the initial volume of the concentrated solution. For example, a 1:10 dilution means that 1 part of the concentrated solution is mixed with 9 parts of the solvent to obtain a final volume that is 10 times greater than the initial volume.

How to make 1 mg ml from 10 mg ml? ›

Weigh out 10mg of the extract and dissolve in 10ml of your solvent. Now take 0.1(100ul) of your stock solution and 0.9(900ul) of your solvent, this will become 1mg/ml solution.

How do you calculate IV dilution? ›

The formula for calculating the IV drip rate is… total volume (in mL) divided by time (in minutes), multiplied by the drop factor (in gtt/mL), which equals the IV drip rate in gtt/min.

How do you calculate 10 fold dilution? ›

First, determine the initial concentration before dilution (C1). Next, determine the dilution factor (D). In this case, the dilution factor is 10 for a 10-fold dilution. Next, use the formula C2 = C1 / D to calculate the final concentration after dilution (C2).

What is a 1 20 dilution sample? ›

A dilution means that we have 1 part sample per 20 parts total volume. We need 5 mL of total volume. We can use cross multiplication, as seen in the illustration below, to determine the amount of sample required. This means we need 0.25 mL sample in 5 mL of total volume.

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