Question

a nurse is preparing to administer diphenhydramine 25 mg iv bolus stat. available is diphenhydramine injection 50 mg/ml. how many ml should the nurse administer? (round the answer to the nearest tenth. use a leading zero if it applies. do not use a trailing zero.)

Explanation:

Step1: Recall the formula for dosage calculation

The formula to calculate the volume \( V \) of a medication to administer is \( V=\frac{\text{Dose Required}}{\text{Concentration of Available Medication}} \). Here, the dose required is \( 25\space mg \) and the concentration of the available diphenhydramine injection is \( 50\space mg/mL \).

Step2: Substitute the values into the formula

Substitute the given values into the formula: \( V = \frac{25\space mg}{50\space mg/mL} \).

Step3: Perform the calculation

Simplify the fraction: \( \frac{25}{50}= 0.5 \).

Answer:

\( 0.5 \)