Question

Assume the recommended single dose of an antihistamine for a child weighing between 18-23 lbs is 0.75 teaspoons (tsp). if 1.00 tsp contains 12.5 mg/5 ml of the active ingredient in the antihistamine, how many milligrams of active ingredient does the recommended dose for a child weighing between 18-23 lbs contain? assume that 1.00 tsp = 5 ml

Answer 1

The recommended dose for a child weighing between 18-23 lbs should contain 9.375 milligram of an active ingredient.

Step-by-step explanation:

Recommended dose for a child weighing between 18-23 lbs:

= 0.75 table spoon = 0.75 × 5 mL = 3.75 mL

Amount of active ingredient in 1 table spoon = 2.5 mg/5 ml

This means that in 5 ml of dose there is a 2.5 milligrams of an active ingredient.

Then active ingredient in 3.75 mL of dose:

`(12.5 mg)/(5 mL)* 3.75 mL =9.375 mg`

The recommended dose for a child weighing between 18-23 lbs should contain 9.375 milligram of an active ingredient.

Answer 2

We are given that 1 teaspoon is equivalent to 5 mL, therefore 0.75 teaspoon is:

0.75 teaspoon * (5 mL / 1 teaspoon) = 3.75 mL

So the mass is density times volume:

mass = (12.5 mg/5 ml) * 3.75 mL

mass = 9.375 mg