Question

A 1,000-gallon holding tank initially contains 200 gallons of water that is contaminated by 100 pounds of gunk. A pipe is dumping more contaminated water into the tank at a rate of 16 gallons per minute. The concentration of gunk in this incoming water is 0.6 pounds per gallon. A second pipe is taking the well mixed solution out of the tank at a rate of 14 gallons per minute. How much gunk will be in the tank when the tank is full

Answer 1

600 pounds of gunk

Explanation:

Given data:

Initial volume of water = 200 gallons

Initial mass of gunk = 100 pounds

dumping rate of pipe( contaminated water into tank ) = 16 gallons per minute

concentration of Gunk = 0.6 pounds / gallon

removal rate of second pipe = 14 gallons per minute

Determine how much gunk will be in the tank when the tank is full

Amount of gunk when tank is full = 599.99 pounds ≈ 600 pounds ≈

Attached below is a detailed solution