Transcribed Text
1. At the Grace Foods facility, a cereal product containing 53% water is produced at a rate of 750 lbs/hr.
A dried product containing 75% cereal is desired. How much water must be removed in a twelve-hour
period and how much dried cereal product is produced? Plot the water removed from the product line
as a function of time, in minutes, for the 12-hour production cycle.
2. A large cylindrical tank with a constant cross-sectional area of 20 m2
contains 2500 kg of liquid
whose density is 10 kg/m3
. If it is found that the outlet mass flow rate is directly proportional to the
liquid height in the tank according to the formula:
𝑚̇ 𝑒𝑥𝑖𝑡 = √2𝑔𝑧
Units for the mass flow rate, in kg/min, are returned when g is the local acceleration of gravity 9.81
m/s2
; and z is the height of the liquid in the tank in meters
Plot the liquid height, in meters, in the tank as a function of time in minutes. Determine the elapsed
time required to empty the tank.
3. A freezing process takes in 1.5 tons/hr of saltwater (4 % salt) and produces salt-free ice and a brine
solution (salt desolved in water) containing 8.5% salt. How much ice can be produced in a 12-hr
production cycle?
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