A tank contains 10 gallons of water and 4 pounds of a chemical, $Z$ , per gallon. To decrease the concentration of $Z$ , pure water is added to the container at a rate of 2 gallons per minute, and the well stirred mixture is drawn from the tank at the same rate.(a) Find the amount of chemical $Z$ in the tank at time $t$ .(b) How much chemical $Z$ is present after 10 minutes?
(c) How long does it take for the concentration of chemical $Z$ to be reduced to 0.1 pound per gallon?

Question

Quizplus · Accepted Answer

The Answer of A tank contains 10 gallons of water and 4 pounds of a chemical, $Z$ , per gallon. To decrease the concentration of $Z$ , pure water is added to the container at a rate of 2 gallons per minute, and the well stirred mixture is drawn from the tank at the same rate.(a) Find the amount of chemical $Z$ in the tank at time $t$ .(b) How much chemical $Z$ is present after 10 minutes?
(c) How long does it take for the concentration of chemical $Z$ to be reduced to 0.1 pound per gallon?

A Tank Contains 10 Gallons of Water and 4 Pounds ZZZ

A Tank Contains 10 Gallons of Water and 4 Pounds $Z$