Final answer:
The nurse will administer 3 ml of the reconstituted solution with each dose.
Step-by-step explanation:
To find out how many ml the nurse will administer with each dose, we need to divide the total prescribed amount of methicillin sodium (1.5 g) by the concentration of the reconstituted solution (500 mg/ml).
First, we need to convert the grams of methicillin sodium to milligrams by multiplying 1.5 g by 1000, which gives us 1500 mg. Now we can divide 1500 mg by 500 mg/ml to get the volume in milliliters:
1500 mg / 500 mg/ml = 3 ml
Therefore, the nurse will administer 3 ml of the reconstituted solution with each dose.