How many mg of lidocaine is there in 10 mL of a 2% lidocaine solution?
Understand the Problem
The question asks to calculate the mass of lidocaine in milligrams (mg) present in 10 mL of a 2% lidocaine solution. A 2% solution means there are 2 grams of solute per 100 mL of solution. We need to convert grams to milligrams and scale according to the volume.
Answer
200 mg
Answer for screen readers
200 mg
Steps to Solve
- Understand the concentration
A 2% lidocaine solution means that there are 2 grams of lidocaine in 100 mL of solution.
- Grams to Milligrams conversion
Convert the mass of lidocaine from grams to milligrams. Since 1 gram = 1000 milligrams:
$2 \text{ grams} = 2 \times 1000 \text{ mg} = 2000 \text{ mg}$
So, there are 2000 mg of lidocaine in 100 mL of solution.
- Calculate milligrams per mL
Determine the concentration of lidocaine in mg/mL:
$\frac{2000 \text{ mg}}{100 \text{ mL}} = 20 \text{ mg/mL}$
- Calculate the mass of lidocaine in 10 mL
Now, calculate the mass of lidocaine in 10 mL of the solution:
$10 \text{ mL} \times 20 \text{ mg/mL} = 200 \text{ mg}$
200 mg
More Information
This calculation is crucial in medical settings as it ensures accurate drug dosages for patients. Lidocaine is a common local anesthetic, and errors in dosage can have significant consequences.
Tips
A common mistake is forgetting to convert grams to milligrams, which leads to an incorrect final answer. Also, errors in basic arithmetic, such as in the scaling step, can occur. Always double-check the units and calculations.
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