Consider a tank used in certain hydrodynamic experiments. After one experiment t
ID: 2961372 • Letter: C
Question
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 288 liters of a dye
solution with a concentration of 5 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh
water
flowing in at a rate of 6 liters/min, the well-stirred solution flowing out at the same rate.
Find the time (t1) that will elapse before the concentration of dye in the tank reaches 8% of its original value.
Round your answer to two decimal places.
(t1) = ?????
Explanation / Answer
Assuming the mixing of water and dye is instantanious
and input flow rate = out flow rate
thus volume of tank remains same throughout
final concentration of dye in tank = 8% of 5 g/l = 0.4 g/l