a. A 30-gallon tank initially contains 15 gallons of salt water containing 2 pounds of salt. Suppose
Question:
a. A 30-gallon tank initially contains 15 gallons of salt water containing 2 pounds of salt. Suppose salt water containing 1 pound of salt per gallon is pumped into the top of the tank at the rate of 2 gallons per minute, while a well-mixed solution leaves the bottom of the tank at a rate of 1 gallon per minute. How much salt is in the tank when the tank is full? (Enter the exact numerical answer as a decimal. Do not enter a calculation.)
b. A 50 gallon tank initially contains 10 gallons of fresh water. At t=0t=0 a brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the rate of 0.5 gal/min. Find the amount of salt in the tank at the moment of overflow. Enter answer as numerical decimal correct to two decimal places in terms of pounds.
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West