How would you express a solution containing 150 mg of drug in 1000 mL of solution in percentage?

To express the concentration of a solution in percentage, you can use the formula:

[

\text{Percentage} = \left( \frac{\text{Amount of solute (mg)}}{\text{Total volume of solution (mL)}} \right) \times 100

]

In this case, you have a solution containing 150 mg of the drug in 1000 mL of solution. First, it is essential to convert the amount of solute into grams because percentages are frequently calculated in terms of grams per 100 mL. Knowing that 1000 mg equals 1 g, you can convert 150 mg to grams:

[

\text{Amount of solute in grams} = \frac{150 \text{ mg}}{1000 \text{ mg/g}} = 0.15 \text{ g}

]

Next, to find the percentage concentration of the solution, you substitute the values into the formula:

[

\text{Percentage} = \left( \frac{0.15 \text{ g}}{1000 \text{ mL}} \right) \times 100 = 0.015 \times 100 = 1.5%

\