Question

solve the following parenteral dosage problem. the client is in pain. the physicians order is for demerol 50 milligrams every 4 hours im as needed for pain. the demerol label reads 60 milligrams in 2 milliliter. how many milliliters should be given? milliliter(s) (simplify your answer. type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Calculate the concentration of Demerol

The concentration \(C=\frac{\text{Amount of drug (mg)}}{\text{Volume (mL)}}\). Given that there are \(60\) milligrams in \(2\) milliliters, so \(C = \frac{60}{2}=30\) mg/mL.

Step2: Use the formula \(V=\frac{D}{C}\)

where \(D = 50\) mg (desired dose) and \(C = 30\) mg/mL (concentration). Then \(V=\frac{50}{30}=\frac{5}{3}\approx1.7\) mL.

Answer:

\(1.7\)