Question

A pipe is tested during a 6-hour leak test on 600 feet of 6-inch-diameter plastic pipe with a test pressure of 150 pounds per square inch (psi). The pipes are 10 feet long. During the 6-hour test period, 8 gallons of water were added to maintain the 150 psi pressure. What is the actual leakage from this section of pipe in gallons per hour per 100 joints?

Answer 1

To find the leakage rate in gallons per hour per 100 joints, we divide the total leakage by hours, then scale the result to per 100 joints, resulting in 2.222 gallons per hour per 100 joints.

Step-by-step explanation:

The student is trying to determine the leakage rate from a section of pipe during a pressure test. To find the leakage rate in gallons per hour per 100 joints, we will use the following steps:

1. Calculate the total amount of leakage during the test period which is 8 gallons.
2. Calculate the leakage rate per hour by dividing the total amount of leakage by the duration of the test (6 hours).
3. Since the pipes are 10 feet long, the 600 feet of pipe consists of 60 joints.
4. Calculate the leakage rate per 100 joints by scaling up the hourly leakage rate from 60 joints to 100 joints.

Performing the calculations:

1. Total leakage is already given as 8 gallons.
2. Leakage per hour = 8 gallons / 6 hours = 1.333 gallons/hour.
3. Leakage per hour per 60 joints is the same since there's only one joint every 10 feet.
4. Leakage per hour per 100 joints = (1.333 gallons/hour) / (60 joints) * 100 joints = 2.222 gallons/hour per 100 joints.

Therefore, the actual leakage from this section of pipe is 2.222 gallons per hour per 100 joints.