A dose of 75 mg is needed. The stock solution is 100 mg/5 mL. How many mL should be administered?

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Study for the Archer Pharmacology Test to master dosage calculations and medication administration. Use flashcards and multiple choice questions with detailed explanations. Get ready for your exam!

Multiple Choice

A dose of 75 mg is needed. The stock solution is 100 mg/5 mL. How many mL should be administered?

Explanation:
The amount to administer depends on the concentration. The stock solution has 100 mg in 5 mL, which is 100 mg ÷ 5 mL = 20 mg per mL. To give 75 mg, use volume V where 20 mg/mL × V = 75 mg. Solve for V: V = 75 ÷ 20 = 3.75 mL. A quick check: at 20 mg/mL, 5 mL would be 100 mg, so 75 mg is three-quarters of 5 mL, which is 0.75 × 5 = 3.75 mL. Therefore, administer 3.75 mL.

The amount to administer depends on the concentration. The stock solution has 100 mg in 5 mL, which is 100 mg ÷ 5 mL = 20 mg per mL. To give 75 mg, use volume V where 20 mg/mL × V = 75 mg. Solve for V: V = 75 ÷ 20 = 3.75 mL. A quick check: at 20 mg/mL, 5 mL would be 100 mg, so 75 mg is three-quarters of 5 mL, which is 0.75 × 5 = 3.75 mL. Therefore, administer 3.75 mL.

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