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Ketamine, sometimes used as an adjuvant to general anesthesia, is available as a 1.0 %/wv solution.Calculate the volume of this solution that contains 20. mg of ketamine. Be sure your answer has a unit symbol and is rounded to the correct number of significant digits.

Question

Ketamine, sometimes used as an adjuvant to general anesthesia, is available as a 1.0 %/wv solution.Calculate the volume of this solution that contains 20. mg of ketamine. Be sure your answer has a unit symbol and is rounded to the correct number of significant digits.

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Solution

To solve this problem, we need to understand what the percentage concentration means. A 1.0% w/v solution means that there is 1.0 gram of solute (in this case, ketamine) in every 100 mL of solution.

First, we need to convert the amount of ketamine from milligrams to grams because the percentage concentration is in terms of grams.

20 mg is equal to 0.020 grams.

Next, we use the definition of the percentage concentration to set up a proportion to solve for the volume.

If 1.0 g is in 100 mL, then 0.020 g is in how many mL?

1.0 g / 100 mL = 0.020 g / x mL

Solving for x gives us:

x = (0.020 g * 100 mL) / 1.0 g

x = 2 mL

So, 20 mg of ketamine is contained in 2 mL of a 1.0% w/v ketamine solution.

This problem has been solved

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