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DRIf you have a highly concentrated stock solution of a chemical and you want to create a dilution of it, this is the formula that you use. C means concentration and V means volume, and the 1s and 2s refer to the starting stock solution and the diluted solution, respectively. The equation is C1V1=C2V2. This is used to answer questions like this: if I want to create 200 mL of a solution at a concentration at 1 mg/mL, and I have a stock solution that is 100 mg/mL, how much of that stock solution should I add? (c1= 100 mg/mL, v1 = ? mL, c2 = 1 mg/mL, v2 = 200mL). So, the equation in this case would be 100*X=1*200. Divide by 100, and the answer is that X =2 mL of the concentrated stock solution, added to a total volume of 200 mL (so 2mL of the stock solution and 198 mL of diluent). It’s complicated when written in a paragraph like this, but actually not a very challenging equation once you write it out. That being said, it’s easy to mess up if you’re doing it in your head, especially if you get one of the units wrong!
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