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 dilution formula? ›

You normally use the formula C1V1 = C2V2 to calculate dilutions:
  1. C1 is the concentrated starting stock.
  2. V1 is the volume of starting stock required.
  3. C2 is the desired stock concentration.
  4. V2 is the desired stock volume.

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.

How do you calculate value dilution? ›

The dilution is the percentage that is left to you (or in general all existing founders/officers/investors) after the new investment. If you own 100% of the company pre-money, the pre-money valuation is $x, and the post-money is $x+y, dilution would be x / (x+y).

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 to do simple dilution? ›

Simple Dilution (Dilution Factor Method)..

For example, a 1:5 dilution (verbalize as "1 to 5" dilution) entails combining 1 unit volume of diluent (the material to be diluted) + 4 unit volumes of the solvent medium (hence, 1 + 4 = 5 = dilution factor).

When to use dilution formula? ›

The dilution formula can be used to create equations to figure out how to dilute a solution. For example, let's imagine a chemist wants to use a 4 M glucose solution to make 1 L of 2 M glucose solution. How much of the initial solution would they need? To start, we can rearrange the dilution equation from above.

How to calculate dilution factor from concentration? ›

The dilution factor is the inverse of the concentration factor. For example, if you take 1 part of a sample and add 9 parts of water (solvent), then you have made a 1:10 dilution; this has a concentration of 1/10th (0.1) of the original and a dilution factor of 10.

Why do you calculate dilution factor? ›

After dilution, the dilution factor (or dilution ratio) represents how much of the original stock solution remains in the entire solution. It's usually expressed as a ratio, although it can also be expressed as an exponent.

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.

How to calculate 10 fold dilution? ›

To complete a tenfold dilution, the ratio must be 1:10. The 1 represents the amount of sample added. The 10 represents the total size of the final sample. For example, a sample size of 1 ml is added to 9 ml of diluent to equal a total of 10 ml.

How many parts are needed for a 1 10 dilution? ›

For example, to make a 1:10 dilution of a 1M NaCl solution, you would mix one "part" of the 1M solution with nine "parts" of solvent (probably water), for a total of ten "parts." Therefore, 1:10 dilution means 1 part + 9 parts of water (or other diluent).

Is a 1 10 dilution same as a 10x dilution? ›

A ten-fold dilution is sometimes also written as a 1:10 dilution. Here 1:10 shows the ratio between the stock and the final volume of the working solution (100 mL : 1000 mL -> 1:10).

What percentage is a 1 10 solution? ›

One-tenth, 1/10, is equal to 10%

To convert 1/10 into a percentage we can multiply the numerator and denominators by 10 to get 10/100, which is 10%. We can also divide 1 by 10 to get 0.1 as a decimal and then multiply by 100 to get 10%.

How do you make a 1 in 10000 dilution? ›

Another way is to dilute the stock 1/10 twice and then perform a further 1/100 dilution: 1/10 x 1/10 x 1/100 = 1/10,000 dilution This would yield 100 ml of a 1/10,000 dilution of stock in water.

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