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Answer :
Sure! Let's go through the steps to solve this problem:
1. Understand the Concentration: The drug concentration is given as 40 mg for every 2 mL of solution. This means that each 2 mL contains 40 mg.
2. Find the Concentration per mL:
- Since 40 mg is in 2 mL, to find mg per mL, divide the total mg by the number of mL:
[tex]\[
\frac{40 \text{ mg}}{2 \text{ mL}} = 20 \text{ mg/mL}
\][/tex]
3. Determine the Volume Required for the Desired Dosage:
- We want to administer a dose of 50 mg. To find out how many mL are needed to get 50 mg, use the concentration we already calculated (20 mg/mL):
[tex]\[
\frac{50 \text{ mg}}{20 \text{ mg/mL}} = 2.5 \text{ mL}
\][/tex]
4. Convert mL to Teaspoons:
- Knowing that 1 teaspoon is equivalent to 5 mL, we can convert mL to teaspoons:
[tex]\[
\frac{2.5 \text{ mL}}{5 \text{ mL/teaspoon}} = 0.5 \text{ teaspoons}
\][/tex]
5. Conclusion:
- To administer a 50 mg dose of the drug, you would need 0.5 teaspoons. Therefore, the correct answer is:
C. 0.5 teaspoons
1. Understand the Concentration: The drug concentration is given as 40 mg for every 2 mL of solution. This means that each 2 mL contains 40 mg.
2. Find the Concentration per mL:
- Since 40 mg is in 2 mL, to find mg per mL, divide the total mg by the number of mL:
[tex]\[
\frac{40 \text{ mg}}{2 \text{ mL}} = 20 \text{ mg/mL}
\][/tex]
3. Determine the Volume Required for the Desired Dosage:
- We want to administer a dose of 50 mg. To find out how many mL are needed to get 50 mg, use the concentration we already calculated (20 mg/mL):
[tex]\[
\frac{50 \text{ mg}}{20 \text{ mg/mL}} = 2.5 \text{ mL}
\][/tex]
4. Convert mL to Teaspoons:
- Knowing that 1 teaspoon is equivalent to 5 mL, we can convert mL to teaspoons:
[tex]\[
\frac{2.5 \text{ mL}}{5 \text{ mL/teaspoon}} = 0.5 \text{ teaspoons}
\][/tex]
5. Conclusion:
- To administer a 50 mg dose of the drug, you would need 0.5 teaspoons. Therefore, the correct answer is:
C. 0.5 teaspoons
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