Final answer:
The CIPRODEX otic suspension contains 3 mg/mL of ciprofloxacin and 1 mg/mL of dexamethasone. To calculate these values, the % w/v concentration is converted from grams to milligrams and then related to the per mL value.
Step-by-step explanation:
To calculate the quantities of ciprofloxacin and dexamethasone in mg/ml in the CIPRODEX otic suspension, we can follow these instructions. The otic suspension contains 0.3% w/v ciprofloxacin and 0.1% w/v dexamethasone in a 7.5-mL drop container. Percent w/v (% weight/volume) is defined as the mass of the substance in grams per 100 mL of solution. Therefore, a 0.3% w/v solution contains 0.3 grams of the substance per 100 mL of solution. To find the concentration in mg/mL, which is the desired unit, we convert grams to milligrams (1 gram = 1000 milligrams).
For ciprofloxacin, at 0.3% w/v concentration:
0.3 grams/100 mL = 300 mg/100 mL = 3 mg/mL
So, there is 3 mg of ciprofloxacin per mL in CIPRODEX.
For dexamethasone, at 0.1% w/v concentration:
0.1 grams/100 mL = 100 mg/100 mL = 1 mg/mL
Thus, there is 1 mg of dexamethasone per mL in CIPRODEX.