6. Milk with 3.8% fat and 8.1% fat-free solids (FFS) is used for the production of cannedconcentrated milk. The process includes separation of the cream in a centrifuge andconcentration of the partially defatted milk in an evaporator. If the cream that isproduced in the centrifuge contains 55% water, 40% fat, and 5% fat-free solids,calculate how much milk is necessary in order to produce a can of concentrated milkthat contains 410 g milk with 7.8% fat and 18.1% fat-free solids. How much creamand how much water must be removed in the centrifuge and the evaporatorrespectively? Assume steady state.

Answered: Image /qna-images/answer/d1456f1b-8084-4f0b-bdce-edea8cf7d919.jpg

Answered: 6. Milk with 3.8% fat and 8.1% fat-free…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Brine containing 2lbs of salt per gallon runs into a tank at 2 gal/min, brine from this tank runs into a second tank at 3 gal/min and brine runs out of the second tank at 3 gal/min. Initially, the first tank conditions 10 gal of brine with 30 lb of salt in solution and the second tank 10 gal of fresh water. Assuming uniform consideration in each tank, find the quantity of salt in the second tank at the end of 5min.
A device used for treating of agri-effluents has an inflow of 8 cubic feet per second and the amount of phosphorous in it is 20 milligrams per liter. The device media consists of wood and charcoal. This device eliminates 0.8 milligrams per liter of phosphorous for every 1 cubic feet of media. If the device is required to have an outflow phosphorous concentration of 0.9 milligrams per liter then find the volume of the filter media required for the device.
Three tanks connected by pipes are shown on a figure below. Originally they contain 10, 20, and 40 gallons of pure water respectively. A brine with salt concentartion of 11b/gal flows into the first tank with the rate 5 gal/min and a well-mixed solution flows from the first to the second tank with the rate 8 gal/min. From the second tank the well-mixed solution flows into the third tank with the rate 8 gal/min and part of a well-mixed solution flows from the third to the first tank with the rate 3 gal/min while another part flows outside the system with the rate 5 gal/min. Write down the sys- tem of differential equations describing the amount of salt in each tank and put it into the matrix form. mixture 11b/gal flow 5 gal/min 10 gal 8 gal/min J 20 gal 3 gal/min 8 gal/min 40 gal 5 gal/min
A technician is changing a automotbile's transmission fluid. The manual tells him the transmission hold 7.8 quarts of fluid. When He drains the transmission, it only releases 3.1 quarts. He closes the plug and puts 3.1 quarts of fresh fluid back in. The manual tells him to run the car for 10 minutes to completely mix the fresh fluid in. The manual states to repeat this process 2 more times. Knowing that some fresh fluid is lost on each of the following 2 drains, what is the final ratio of fresh fluid to old?
the soil biogeochemistry in Californian salt marshes wished to explore how two of the most common plant species, pickleweed and pacific cordgrass, affected the accumulation of nitrogen in the soil. They measured the concentration of ammonium, a molecular form of organic nitrogen, in the soil, and measured or manipulated the density of pickleweed and cordgrass. Manipulations of ½ meter square plots (20 plots per manipulation) included removing all cordgrass (cordgrass removal), removing all pickleweed (pickleweed removal), or mixed (the control - nothing removed, thus mixed plots included a mixture of natural pickleweed and cordgrass). Boxplots of ammonium concentrations in each of the three manipulation treatments. Letters indicate differences among means as determined by a Tukey posthoc test following ANOVA. (b) Overall relationship between cordgrass stem density and soil ammonium content (includes data from all plot treatments). The solid black line and the gray shading represent the…
3. A tank contains 80 gals. of pure water. A brine solution with 2 lbs/gal of salt enters at 2 gals/min, and the well-stirred mixture leaves at the same rate. Find (a) the amount of salt in the tank at any time O a. 80 Ibs O b. 41.3 lbs c. 23 Ibs O d. 27.73 lbs
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 5 L/min and from B into A at a rate of 4 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.1 kg/L of salt flows into tank A at a rate of 10 L/min. The (diluted) solution flows out of the system from tank A at 9 L/min and from tank B at 1 L/min. If initially, tank A contains pure water and tank B contains 10 kg of salt, determine the mass of salt in each tank at time t≥0. x(t) = 10 L/min- 0.1 kg/L y(t) = 9 L/min A x(t) 100 L x(0) = 0 kg 5 L/min What is the solution to the system? 18 4 L/min B y(t) 100 L y(0) = 10 kg ..... 1 L/min O ✔
4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration of 0.01 kg/L. Pure water enters from a stream at 100 L/h. Water evaporates from the pond (leaving the pollutant behind) at 50 L/h. How many days will it take for the concentration of pollutant to drop to 0.001 kg/L?
A multiunit mixing process consists of two tanks T1 and T2. Ten (10) gal/min of pure water is pumped from the outside into Tank 1 which initially contains 100 gal of water in which 120 Ib of salt are dissolved. Tank 2 initially contains 200 gal of water in which 50 Ib of salt are dissolved. Liquid is circulated continuously between the two tanks by pumping 12 gal/min from Tank 1 into Tank 2 and pumping 2 gal/min from Tank 2 into Tank 1. Also, 10 gal/min of the uniform solution in Tank 2 is taken out of the system. Thus, the volume of the content of each tank remains constant and the contents of the two tanks are kept uniform by stirring. Find the design equations that would be necessary to calculate the salt contents y1 (t) and y2 (t) in Tank T1 and Tank T2 respectively at any time t. What would be the salt contents in the tanks after a long time? When will the salt contents of the two tanks be equal and what will be the salt contents in the tanks at that time? Calculate your…
Consider a set of 2 tanks of water with 800 gal and 500 gal in each originally; liquid enters the first tank at a rate of 15 gal/hour and exits the second tank at 15 gal/hour. Liquid flows out of tank 1 into 1. tank 2 at 20 gal/hour and back into tank 1 from tank 2 at 5 gal/hour. If the liquid entering tank 1 has 6 lb of sludge per gallon of water and each of the tanks has pure water in them to begin with, find a system of equations that models your system. (Write in matrix form but do NOT solve...)
A tank initially contains 100 L of fresh water. Solution 1 is a brine solution containing 3 kg of salt per L and is allowed to enter the tank at a rate of 2 L/min. Solution 2 is a brine solution containing 2 kg of salt per L and is allowed to enter the tank at a rate of 1 L/min. The well-stirred mixture flows out of the tank at the rate of 4 L/min. Determine the amount of salt (in kg) in the tank after one hour. Round your answer into two (2) decimal places. A. 88.94 kg B. 48.94 kg C. 48.49 kg D. 99.84 kg
A tank contains 1800 liters (L) of fluid in which 180 grams (g) of salt is dissolved. Solution containing 20 g/L then pumped into the tank at a rate of 30 L/min; the tank is maintained well mixed and pumped out at the same rate. How many grams of salt are in the tank 20 minutes after the inlet supply is opened? а. 10830 b. 11304 C. 11324 d. 10434 е. 10334

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