Question

Azelastine hydrochloride is an antihistamine nasal spray. A standard-size container holds one fluid Ounce (oz) of the liquid. You are searching for this medication in a European drugstore and are asked how many milliliters (mL) there are in one fluid ounce. Using the following conversion factors, determine the number of milliliters in a volume of one fluid ounce: 1 gallon (gal) = 128 oz, 3.785 x 10-3 cubic meters (m3) = 1 gal, and 1 mL = 10-6 m3.

What is the volume, in milliliters, of one fluid ounce?
A) 29.57 mL
B) 28.35 mL
C) 30.00 mL
D) 31.78 mL

Answer 1

To convert fluid ounces to milliliters, we can use the given conversion factors to convert fluid ounces to gallons, gallons to cubic meters, and cubic meters to milliliters. The volume of one fluid ounce is approximately 29.57 mL.

Step-by-step explanation:

To determine the number of milliliters in one fluid ounce, we need to use the given conversion factors:

1 gallon (gal) = 128 oz

3.785 x 10-3 cubic meters (m3) = 1 gal

1 mL = 10-6 m3

First, convert fluid ounces to gallons by dividing by the unit equivalence: 1 fluid ounce = 1/128 gallon. Next, convert gallons to cubic meters: 1 gallon = 3.785 x 10-3 m3. Finally, convert cubic meters to milliliters: 1 m3 = 1/106 mL.

Using these conversion factors, we can calculate the volume of one fluid ounce in milliliters:

(1/128) * (3.785 x 10-3) * (1/106) = 0.02957 mL

Therefore, the volume of one fluid ounce is approximately 29.57 mL.