Final answer:
To administer 7.5 mg of Diazepam for alcohol withdrawal, the nurse should administer 1.5 mL (round to the nearest tenth) of Diazepam injection. The correct option is option a).
Step-by-step explanation:
To calculate the mL of Diazepam the nurse should administer, we can use the formula:
C₁V₁ = C₂V₂
In this case, C₁ = 5 mg/ml (concentration of Diazepam injection), V₂ = 7.5 mg (desired dose), and C₂ is unknown.
Let's rearrange the formula to solve for V₁:
V₁ = (C₂V₂) / C₁ = (7.5 mg) / (5 mg/ml) = 1.5 ml
Therefore, the nurse should administer 1.5 mL (round to the nearest tenth) of Diazepam injection to the client.