Question

A pipe is leaking at a rate of 8 fluid ounces per minute. Find out how many gallons the pipe is leaking per hour. Using dimensional analysis.

a)0.08 gallons per hour
b)0.48 gallons per hour
c)4.8 gallons per hour
d)48 gallons per hour

Answer 1

The pipe is leaking at a rate of 0.48 gallons per hour.

Step-by-step explanation:

To find out how many gallons the pipe is leaking per hour, we need to convert the units from fluid ounces per minute to gallons per hour using dimensional analysis.

Step 1: Convert fluid ounces to gallons: 1 fluid ounce = 0.0078125 gallons (since 1 gallon = 128 fluid ounces).

Step 2: Convert minutes to hours: 1 hour = 60 minutes.

Step 3: Multiply the rate of leaking (8 fluid ounces per minute) by the conversion factors:

8 fluid ounces/min * 0.0078125 gallons/fluid ounce * 60 min/hour = 0.48 gallons/hour.

Therefore, the pipe is leaking at a rate of 0.48 gallons per hour.