Question

CIPRODEX, an otic suspension, contains 0.3% w/v ciprofloxacin and 0.1% w/v dexamethasone in 7.5-mL drop containers. Calculate the quantities of each agent based on mg/ml.

Answer 1

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.

Answer 2

To calculate the concentrations of ciprofloxacin and dexamethasone in mg/ml in the CIPRODEX otic suspension, multiply the percentages by the volume of the container, then divide by the volume to get the concentration in mg/ml.

Step-by-step explanation:

To calculate the quantities of ciprofloxacin and dexamethasone in mg/ml, we need to convert the percentages to mg/ml. First, we need to convert 0.3% ciprofloxacin to mg/ml. This can be done by multiplying 0.3% by 7.5 to get the total amount of ciprofloxacin in the 7.5 mL container. Then, divide this amount by 7.5 to get the concentration in mg/ml. Repeat the same process for 0.1% dexamethasone.

Concentration of ciprofloxacin:

0.3% * 7.5 mL = 0.0225 g

0.0225 g / 7.5 mL = 0.003 g/mL = 3 mg/mL

Concentration of dexamethasone:

0.1% * 7.5 mL = 0.0075 g

0.0075 g / 7.5 mL = 0.001 g/mL = 1 mg/mL