C (Ib/gal) - 5.8. A mixing process may be described as follows: A stream with solute concentration Ci (pounds/volume) is fed to a perfectly stirred tank at a constant flow rate of q (volume/time). The perfectly mixed product is withdrawn from the tank, also at the flow rate q at the same concentration as the material in the tank Co. The total volume of solution in the tank is constant at V. Density may be considered to be inde- 2.1 2.0 1.9 1.8 1.7 W FIGURE P5-8 10 6:30 A.M. Time 6:52 A.M. pendent of concentration. A trace of the tank concentration versus time appears as shown in Fig. P5-8. (a) Plot on this same figure your best guess of the quantitative behavior of the inlet concentration versus time. Be sure to label the graph with quantitative infor- mation regarding times and magnitudes and any other data that will demonstrate your understanding of the situation. (b) Write an equation for C; as a function of time. Data: tank dimensions: 8 ft high by 5-ft diameter Tank volume V: 700 gal Flow rate q: 100 gal/min Average density: 70 lb/ft³

C (Ib/gal) - 5.8. A mixing process may be described as follows: A stream with solute concentration Ci (pounds/volume) is fed to a perfectly stirred tank at a constant flow rate of q (volume/time). The perfectly mixed product is withdrawn from the tank, also at the flow rate q at the same concentration as the material in the tank Co. The total volume of solution in the tank is constant at V. Density may be considered to be inde- 2.1 2.0 1.9 1.8 1.7 W FIGURE P5-8 10 6:30 A.M. Time 6:52 A.M. pendent of concentration. A trace of the tank concentration versus time appears as shown in Fig. P5-8. (a) Plot on this same figure your best guess of the quantitative behavior of the inlet concentration versus time. Be sure to label the graph with quantitative infor- mation regarding times and magnitudes and any other data that will demonstrate your understanding of the situation. (b) Write an equation for C; as a function of time. Data: tank dimensions: 8 ft high by 5-ft diameter Tank volume V: 700 gal Flow rate q: 100 gal/min Average density: 70 lb/ft³

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter5: Probability: An Introduction To Modeling Uncertainty

Section: Chapter Questions

Problem 33P: Suppose that Motorola uses the normal distribution to determine the probability of defects and the...

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Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations. a. The process standard deviation is 0.15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects. b. Through process design improvements, the process standard deviation can be reduced to 0.05. Assume that the process control remains the same, with weights less than 9.85 or greater than 10.15 ounces being classified as defects. c. What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?