Final answer:
To find the concentration in w/v % for a solution with 50 mg of Penicillin in 250 mL of water, convert 50 mg to grams (0.05 g) and then use the formula: (mass of solute in grams / volume of solution in mL) × 100% to find that the concentration is 0.02% w/v.
Step-by-step explanation:
The student's question asks to find the resulting concentration in weight/volume percentage (w/v %) when 50 mg of Penicillin powder is mixed with 250 mL of water. To calculate the w/v %, you can use the following formula:
Percentage (w/v) = (mass of solute in grams / volume of solution in mL) × 100%
First, we need to convert the mass of Penicillin from milligrams to grams:
Now plug the values into the formula:
Percentage (w/v) = (0.050 g / 250 mL) × 100%
Percentage (w/v) = (0.0002) × 100%
Percentage (w/v) = 0.02%