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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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