How to Do the Dilution Method of a Math Problem

A common math problem involves the chemical dilution method, where a worker must reduce the concentration of a particular substance by adding another substance. In applications like pharmaceuticals, knowing the correct dilution formula is crucial to ensuring that patients receive the right dosages. In other applications, such as handling acids, diluting the chemicals prior to use is important for safety and the requirements of the task.

Instructions

    • 1

      Convert your dilution problem into statements of proportions. For example, you might have 2.5L of a 30% solution of hydrochloric acid that you have to convert into a 9% solution, and you have to decide how much water to use. On the left side, right 750 mL / 2500 mL (the 30% solution). Then, write an equals sign, and then write 9/100 (the desired proportion). So, 750 mL/2500 mL = 9/100.

    • 2

      Multiply the 750 mL by 100 to get 75,000, and then divide by 9 to get 8,333.33 mL.

    • 3

      Subtract the initial volume (2,500 mL) from the answer in Step 2. This is the amount of water you'll need to add to dilute to a the desired solution. In this case, the amount would be 5,833.33 mL.

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