Atank initially holds 100 gallons of a brine solution containing 1 lb. of salt. at t = 0 another brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the same rate. find (a) the amount of salt in the tank at any time t and (b) the time at which the mixture in the tank contains 2 lb of salt.

Step-by-step explanation:

(a)Expression for mass of salt as function of time

i. Set up an expression for the rate of change of salt concentration.

ii. Integrate the expression

iii. Find the constant of integration

iv. Solve for A as a function of time.

The diagram shows A as a function of time. The mass of salt in the tank starts at 1 lb and increases asymptotically to 100 lb.

(b)Time to 2 lb salt

the answer is 510

step-by-step explanation:

15 • 13 = 195

15 • 12 = 180

15 • 5 = 75

12 • 5 = 60

195 + 180 = 375

375 + 75 = 450

450 + 60 = 510