Final answer:
To calculate the number of milliliters of solution that should be administered, we can use the formula C₁V₁ = C₂V₂. Given the concentration of the vial and the physician's order, we can rearrange the formula and solve for V₁ to find that the nurse should administer 0.2 milliliters of the solution.
Step-by-step explanation:
Chemistry
To calculate the number of milliliters of solution that should be administered, we can use the formula:
C₁V₁ = C₂V₂
Given that the concentration of the vial is 10 mg/1 ml and the physician ordered 2 mg of morphine sulfate, we can rearrange the formula to solve for V₁:
V₁ = (C₂V₂)/C₁
Substituting the values into the formula, we get:
V₁ = (2 mg/10 mg/ml)/(10 mg/1 ml) = 0.2 ml
Therefore, the nurse should administer 0.2 milliliters of the solution.