Final answer:
To administer diazepam 7.5mg IV bolus for alcohol withdrawal, the nurse should administer 1.5 milliliters (mL) of the diazepam injection.
Step-by-step explanation:
To calculate the number of milliliters (mL) of diazepam to administer, we need to use a proportion based on the available concentration of diazepam injections. The nurse has a diazepam injection of 5 mg, and needs to administer 7.5 mg. We can set up the proportion like this:
5 mg / x mL = 7.5 mg / 1 mL
Cross-multiplying, we get:
x mL = (7.5 mg * 1 mL) / 5 mg
Simplifying the equation, we find that x = 1.5 mL. Therefore, the nurse should administer 1.5 milliliters of the diazepam injection to the client for alcohol withdrawal.