A tank initially contains 100 gallons of brine in which there is dissolved 20 lb of salt. Starting at time t=0, brine containing 3 lb of dissolved salt per gallon flows into the tank at the rate of 4gal/min. The mixture is kept uniform by stirring and the well-stirred mixture simultaneously flows out of the tank at the same rate. Write out in standard form the differential question that models the mixing process. How much salt will be in the tank at the end of 10 minutes? When is there 160lb of salt in the tank?
A tank initially contains 100 gallons of brine in which there is dissolved 20 lb of salt. Starting at time t=0, brine containing 3 lb of dissolved salt per gallon flows into the tank at the rate of 4gal/min. The mixture is kept uniform by stirring and the well-stirred mixture simultaneously flows out of the tank at the same rate. Write out in standard form the differential question that models the mixing process. How much salt will be in the tank at the end of 10 minutes? When is there 160lb of salt in the tank?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A tank initially contains 100 gallons of brine in which there is dissolved 20 lb of salt. Starting at time t=0, brine containing 3 lb of dissolved salt per gallon flows into the tank at the rate of 4gal/min. The mixture is kept uniform by stirring and the well-stirred mixture simultaneously flows out of the tank at the same rate. Write out in standard form the differential question that models the mixing process. How much salt will be in the tank at the end of 10 minutes? When is there 160lb of salt in the tank?
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