Question

following situations. Write the equation only. Do no 6. Determine a differential equation that models each of the following situatio solve the equation. a) A large tank initially contains 50 liters of 2% salt solution. A 4% salt solutie mrers per second. The solution is stirred to keep it well mixed. Brine is ren 1.9 liters per second. Write a differential equation that can be used to determ in the tank at time t? tion. A 4% salt solution is poured into the tank at 2 ell mixed. Brine is removed from the tank at a rate of on that can be used to determine the amount A(t) of salt (b) After baking a turke baking a turkey is removed from the oven when its internal temperature has reached ruum or constant temperature 20'C. Then the turkey is carved. Write a differential wch can be used to determine the internal temperature of the turkey when it is carved. 30 minutes in a room of constant temp equation which can be used to determine the intern its internal temperature has reached 85°C. It sits for

Answer 1

24s. - 1945 introl value of salt = aco) = 2%= EUSKVA tar "change in volume coleta 24; 4.945 - Oif LIS. dva 0.1 dt. fara ouf et. V0.1++ at t=0 VECE SO V=0.4++50 = Incoming outgoing. s 25 * 4 - 1.9* ☆ ses - 1.9. A Osttso CA + L. 9. A=2 : 0.1t+50 with Aco=2 20

Using Nolfion loco af cooling. Bedfore Canoved. I = K (T-TO) T20)= 85°C dr = kot T-50 On (7-78= Rt to at t= 0 co Jn (85= 20) = (n (65) ANTE DE © Using Nearton, dow off cooling. di = K27-70) where Kis rate of cooling, To is surrounding Temp. i dI - KC T-20)