Massachusetts Pharmacy Technician License Practice Test

How many milliliters of active ingredients are in 1.5 L of a 17.5% solution?

1. 75 mL

2. 150 mL

3. 262.5 mL

4. 300 mL

The correct answer is: 262.5 mL

To determine the amount of active ingredients in a 1.5 L solution with a concentration of 17.5%, you first need to convert liters to milliliters, since there are 1000 milliliters in one liter. Thus, 1.5 L is equivalent to 1500 mL. Next, to find the volume of active ingredients in the solution, you multiply the total volume of the solution (1500 mL) by the percentage concentration expressed as a decimal. The percentage of 17.5% is the same as 0.175 in decimal form. So the calculation would be as follows: \[ Active \, Ingredients = Total \, Volume \times Percentage \] \[ Active \, Ingredients = 1500 \, mL \times 0.175 \] Performing the multiplication yields: \[ Active \, Ingredients = 262.5 \, mL \] This means that in 1.5 L of a 17.5% solution, there are 262.5 mL of active ingredients. Understanding the conversion from liters to milliliters and applying the percentage correctly illustrates the relationship between the volume of the solution and the concentration of