Step 1 :The question is asking for the volume of atropine sulfate solution needed to deliver a dose of 0.2 milligrams. From the label, we know that each milliliter of the solution contains 0.4 milligrams of atropine sulfate. Therefore, we need to calculate the volume that would contain 0.2 milligrams of atropine sulfate. This is a simple ratio problem, and we can solve it by setting up a proportion and solving for the unknown.
Step 2 :Let's denote the required dose as \(dose_{required}\), which is 0.2 milligrams, and the concentration of the solution as \(concentration\), which is 0.4 milligrams per milliliter.
Step 3 :We can set up the proportion as follows: \(\frac{dose_{required}}{concentration} = volume\)
Step 4 :Solving for \(volume\), we get \(volume = \frac{dose_{required}}{concentration} = \frac{0.2}{0.4} = 0.5\) milliliters.
Step 5 :Final Answer: The volume of atropine sulfate solution needed to deliver a dose of 0.2 milligrams is \(\boxed{0.5}\) milliliters.