10. A two-tank system has the configuration given below. At time t = 0 Tank A contains 100 gal of fresh water, whereas Tank B contains 100 gal of brine consisting of 10 lb of dissolved salt. Assuming that the mixture devices maintain homogeneity, (a). Find the amount of salt o(t) in Tank A and the amount of salt y(t) in Tank B at time t. (b). Also show that after a long time both tanks will essentially contain fresh water. & gal/min 4 gal/min 4 gal/min 100 gal 100 gal 4 gal/min (fresh water) TANK A TANK B 10. Ans: x(t) = 182 "sinh: both X(t) and y(1) 0. 100), y(0) = 10e-cosh(81). Note: as t + 10. A two-tank system has the configuration given below. At time t = 0 Tank A contains 100 gal of fresh water, whereas Tank B contains 100 gal of brine consisting of 10 lb of dissolved salt. Assuming that the mixture devices maintain homogeneity, (a). Find the amount of salt o(t) in Tank A and the amount of salt y(t) in Tank B at time t. (b). Also show that after a long time both tanks will essentially contain fresh water. & gal/min 4 gal/min 4 gal/min 100 gal 100 gal 4 gal/min (fresh water) TANK A TANK B 10. Ans: x(t) = 182 "sinh: both X(t) and y(1) 0. 100), y(0) = 10e-cosh(81). Note: as t +