Lidocaine, a widely used local anesthetic, is available as a 1.0 %/wv solution for injection.Calculate the volume of this solution that contains 60. mg of lidocaine. Be sure your answer has a unit symbol and is rounded to the correct number of significant digits.
Question
Lidocaine, a widely used local anesthetic, is available as a 1.0 %/wv solution for injection.Calculate the volume of this solution that contains 60. mg of lidocaine. Be sure your answer has a unit symbol and is rounded to the correct number of significant digits.
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 lidocaine in every 100 mL of solution.
First, we need to convert the amount of lidocaine we want from milligrams to grams, because our percentage concentration is in terms of grams.
60 mg is equal to 0.06 g (since 1 g = 1000 mg).
Next, we set up a proportion to find out the volume of the solution that contains 0.06 g of lidocaine.
If 1.0 g is in 100 mL, then 0.06 g is in how many mL?
1.0 g / 100 mL = 0.06 g / x mL
Solving for x gives us:
x = (0.06 g * 100 mL) / 1.0 g = 6 mL
So, 60 mg of lidocaine is present in 6 mL of a 1.0% w/v lidocaine solution.
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