A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. a.) What is the concentration of our solution in the tank initially? concentration = 3 (kg/L) b.) Find the amount of salt in the tank after 3.5 hours. amount = (kg) c.) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)

Mm.1

A tank contains 3,000 L of brine with 12 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y =     kg (b) How much salt is in the tank after 20 minutes? (Round your answer to one decimal place.) y =

The rate of conversion of a certain substance is proportional to the square root of the amount m of unconverted substance. Use k as the proportionality constant. Show that the substance will disappear in finite time and determine the time.