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NLN Pharmacology (Pharma) Practice Tests & Test Prep by Exam Edge

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NLN Pharmacology Sample Test

1 of 5

10 mg/20 ml of a drug is available and the order is for 2.5 mg. How many ml should be administered by the nurse to make the correct dosage?

Correct Answer:

5 ml
to determine the correct volume of drug solution to administer, we first need to understand the concentration of the drug in the solution provided. the drug's concentration is given as 10 mg in 20 ml. this implies that for every milliliter of the solution, there is 0.5 mg of the drug. this is calculated by dividing the total milligrams of the drug by the total volume of the solution: \[ \frac{10 \text{ mg}}{20 \text{ ml}} = 0.5 \text{ mg/ml} \]

given this concentration, we can calculate the volume of the solution needed to achieve a dosage of 2.5 mg. to find this volume, we set up a simple proportion where the amount of drug desired (2.5 mg) is compared to the known concentration (0.5 mg/ml): \[ \frac{0.5 \text{ mg}}{1 \text{ ml}} = \frac{2.5 \text{ mg}}{x \text{ ml}} \] here, $x$ represents the volume in milliliters that we need to find. to solve for $x$, we multiply both sides of the equation by $x$ and then divide by 0.5 mg: \[ x = \frac{2.5 \text{ mg}}{0.5 \text{ mg/ml}} = 5 \text{ ml} \]

therefore, to administer the correct dosage of 2.5 mg, the nurse should give 5 ml of the solution. this calculation ensures that the patient receives the exact dosage prescribed, using the concentration of the drug solution provided.