Final answer:
By converting 250 mg to micrograms and dividing by the volume of the solution, the concentration of the drug in the glucose solution is determined to be 5000 micrograms/ml.
Step-by-step explanation:
The student added 250 mg of a drug to 50 ml of glucose 5%. To calculate the concentration in micrograms per milliliter (mcg/ml or µg/ml), we need to convert milligrams to micrograms by multiplying by 1,000 (since 1 mg = 1,000 µg). After conversion, we have 250,000 µg in 50 ml.
Dividing the total micrograms by the volume in milliliters gives us the concentration:
250,000 µg / 50 ml = 5000 µg/ml
Therefore, the concentration of the drug in the glucose solution is 5000 micrograms/ml.