(a) There are many ways to answer this question; however, I want you to use the
ID: 3205783 • Letter: #
Question
(a) There are many ways to answer this question; however, I want you to use the Pearson Square method to determine your answer.
Minestrone Foods, Inc. is making a 1000 lb of tomato sauce from tomato paste. The tomato paste (223 lb) is 45% solids and the ingredient manager needs to figure out how much water to add to achieve a final product of 15% solids. On a weight basis (lb) how much tomato paste and how much water would be required for the 1000 lb batch. Does she have enough, and if not, how much more does she need. The manager does have 100 lb of a 60% solids tomato paste but must make it into 45% solids for mixing and pumping. She must figure out how much 45% solids tomato paste she can make and will this be enough to complete the batch.
(b) After sorting, the two groups of apples to be shipped have a center temperature of 26C and are hyrocooled with water at 2C. How long would it take to reduce the center temperature of both apple groups to 8C. For the large apple group, you want to cool it to 8C in 30 min, what would the chilled water temperature be to achieve this time.
(c) The company that receives his juice concentrate will further evaporate it but needs to have it preconcentrated. He selects reverse osmosis for his grape juice at 11% solids, density 1060 Kg/m3, molecular weight 165. Concentration will take place at 28C, operating pressure of 3500 kPa and a mass transfer coefficient of 6.25 x 10-3 Kg/m2 h kPa. Universal gas constant is 8.314 Pa m3/mol K. Calculate the area of membrane required to remove 3 metric tons of permeate in a 6 h shift.
(d) He purchases a centrifuge having an operating volume of 0.1 m3, bowl diameter 7 cm and outlet of 4 cm. The wine (1400 gal) has a specific gravity of 984, viscosity 1.095 x 10-3 N s/m2, containing 5% solids at a density of 1100 Kg/m3. He is presently running at 5,000 RPM and clarifying at a rate of 150 L/h. The centrifuge can run at 10,000 RPM and he is interested in running at the higher speed but needs to make sure he has enough wine for the new feed rate. Calculate the new feed rate for the increase in RPM and how long would he have to run in order to centrifuge the entire batch of wine. Also, determine the minimum particle size that can be removed at this new speed. Other than bowl speed, all other conditions remain the same.
Explanation / Answer
(a)
Water needed:
450 -> 1000
150 -> 1000+x
=>x = 200/3 lb of water needed for the manager
Inorder to achieve 45% solids for a 60% solids paste, a solids paste less than 45% is required which she doesnt have, hence it is not possible
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