An 800 liter aquarium is being converted to salt water for a different species of fish. at timet 0, there is no salt in the aquarium, but a tap is opened and a salt solution with concentration 0.75 grams per liter is added to the aquarium, at a rate of 12 liters per minute. at the same time, salt water solution from the aquarium is drained out, also at 12 liters per minute. you can assume that the salt water in the aquarium is well mixed during this process, so the concentration in the tank is uniform (a) let s(t) be the mass of salt in the aquarium at time t, in grams. write a differential equation for the rate of change of the amount of salt in the aquarium over time, based on the rate salt is coming into and out of the aquarium (b) solve your differential equation from part (a), including the initial condition that there is no salt in the aquarium at time t0. (e) salt water fish require a concentration of 0.5 grams of salt per liter in the aquarium. how long does it take for the salt concentration in the aquarium to reach this level?