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A vial containing 1 gram of medication has to be reconstituted to a 2.5% solution (w/v). What volume of diluent is needed and what concentration will result?

User Tatjana
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Final answer:

To reconstitute 1 gram of medication to a 2.5% solution, 39 mL of diluent is required to achieve the desired concentration, resulting in a total volume of 40 mL.

Step-by-step explanation:

To reconstitute a 1 gram medication to a 2.5% solution (w/v), we need to calculate the required volume of diluent to add. A 2.5% w/v solution means that there are 2.5 grams of the medication in 100 milliliters (mL) of solution. Since we have 1 gram of medication, we can set up a proportion to find the necessary volume (V) of the solution:

2.5 g / 100 mL = 1 g / V mL
Cross-multiplying, we get:
V = (1 g * 100 mL) / 2.5 g
V = 40 mL.

Therefore, to create a 2.5% solution with 1 gram of medication, we would need to add 39 mL of diluent to the 1 gram of medication, since adding the medication to the diluent will bring the total volume to 40 mL, thus resulting in 2.5% concentration.

User Unsunghero
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