Problem Set 10 Solve the following problems. 1 . A large tank holds 100 gallons of fluid in which 10 pounds of salt is dissolved. A mixture containing 12 1b. of salt per gallon flows into the tank at the rate of 6 gal. / min. and the well-stirred mixture flows out of the tank at the rate of 4 gal. /min. a.) How many gallons of solution are in the tank after 10 minutes? After 1 hour? b.) How much salt is in the tank after 10 minutes? After 1hour? c.) In how many minutes will the tank contain 40 pounds of salt? 2. Beer containing 6% alcohol per gallon is pumped into a vat which initially contains 400 gallons of beer at 3% alcohol. Beer is pumped into the tank at the rate of 3 gal. /min. and the well-stirred mixture is pumped out of the tank at the rate of 4 gal. /min. a.) How many gallons of beer are in the vat after 10 minutes? After 1 hour? After 6 hours and 40 minutes? b.) What is the percentage of alcohol in the vat after 10 minutes? After 1 hour ? c.) When will the percentage of alcohol in the vat be 4%? 3. Redo Sample Problem 7 (see lecture video Lesson 10) with salt with concentration of 0.5(1 + sint) lbs/gal