Question

solve the following parenteral dosage problem.
the client is in pain. the physicians order is for demerol 70 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 \(D = 70\) mg (desired dose) and \(C = 30\) mg/mL (concentration). Then \(V=\frac{70}{30}=\frac{7}{3}\approx2.3\) mL.

Answer:

\(2.3\)