Question

Previous Problem Problem List Next Problem (1 point) A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) Write an initial value problem for the amount of salt, y, in kilograms, at time t in minutes: !!! (kg/min) y(0) = 60 !!! kg (b) Solve the initial value problem in part (a) y(t) = 60 18 kg. (c) Find the amount of salt in the tank after 4.5 hours amount = ! (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity (Assume your tank is large enough to hold all the solution.) concentration = 12 !! (kg/L)

Answer 1

Kindly go through the solution and let me know in case of any doubt or further clarification is needed in the comment box.
Thanks for the question :)
And your upvote will be really appreciable ;)

A tank containg 60 kg salt & 1000 Lof wat a Pure water enter is a tank cat role 124 drains from The solution is mixed & the tank at role Gumin Intial amounts borg dit - -Y 1000+ 6+ 12L/min of -6 1/min = Gummi 6 dt 1000+ + eny: - lag (4+ 500 te y (0)=60 logoo : - lay(500 140 c. log (20+500) C: lug (10000) C. log (1691-4 en ((41590 ) = 4 y los de lieu ya ey t+500 After 4-5H = 270 yae , : 0.125kg 436.66 4100) = 0