Question

A 1000 L tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 7070 g/L flows into the tank at a rate of 8080 L/min. The fluid mixes instantaneously and is pumped out at the rate of Rout=40Rout=40 L/min.

Let y(t)y(t) denote the quantity of salt in the tank at time tt.

Find the salt concentration when the tank overflows.

(Use decimal notation. Give your answer to one decimal place.)

The concentration of salt is g/L.