If a solution has 50 grams of drug in 700ml, what is the percentage strength of the solution?

To determine the percentage strength of a solution, you can use the formula:

[

\text{Percentage Strength} = \left( \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \right) \times 100

]

In this scenario, you have 50 grams of the drug (solute) dissolved in 700 mL of solution. Plugging these values into the formula gives:

[

\text{Percentage Strength} = \left( \frac{50 \text{ g}}{700 \text{ mL}} \right) \times 100

]

Calculating this step-by-step:

1. Divide 50 grams by 700 mL, which equals approximately 0.07142857.

2. Multiply this result by 100 to convert it into a percentage, resulting in approximately 7.142857%.

When rounded to two decimal places, this reveals that the percentage strength is approximately 7.14%. Thus, the correct percentage strength of the solution is 7.14%.

This value aligns with the answer choice provided, confirming it as the correct answer. Understanding this calculation is vital because it demonstrates how to express the concentration of a