Question

Please answer the whole question (part a and b)

A. Suppose a brine containing 0.6 kg of salt per liter runs into a tank initially filled with 500 L of water containing 3 kg of salt. The brine enters the tank at a rate of 5 L/min. The mixture, kept uniform by stirring, is flowing out at the rate of 5 L/min (see Figure, where a = 5, c 0.6, tc-500, and Ao = 3) 7. a Umin ckg/L A(C) te L aL/min Find the concentration, in kilograms per liter, of salt in the tank after 5 min. Round to 3 decimal places. [Hint: Let A denote the number of kilograms of salt in the tank at t minutes after the process begins and use the following fact rate of increase in A = rate of input-rate of exit. (A further discussion of mixing problems is given in Section 3.2) B. After 5 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank (see Figure, where a-5 and c 06). a Umin e kg/L A(7) tcL A(0) =Agkg What will be the concentration, in kilograms per liter, of salt in the tank 15 min after the leak develops? Round to 3 decimal places.

Answer 1