2 ml of 100 mg/ml is 200 mg
to get 200 mg he needs 10 ml of the weaker solution
to get 200 mg he needs 10 ml of the weaker solution
First, let's calculate the amount of the active ingredient, which is 100 mg, required for the desired dose. We can use the following formula:
Amount of active ingredient = Concentration × Volume
Given that the desired dose is 2 mL and the desired concentration is 100 mg/mL, we can calculate the amount of active ingredient required:
Amount of active ingredient = 100 mg/mL × 2 mL = 200 mg
Now, we need to find the volume of the 20 mg/mL solution that contains 200 mg of the active ingredient. We can use the formula mentioned earlier:
Volume = Amount of active ingredient / Concentration
Using the values we have, we can calculate:
Volume = 200 mg / 20 mg/mL = 10 mL
Therefore, the doctor would need to administer 10 mL of the 20 mg/mL solution to achieve the desired dose.