Numerade

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4. (30 Points) A vertical cylindrical tank has 5 feet in diameter and a water level of 8 feet. There is a water stream flowing into the tank at a constant flow rate ($F_{in}$) and another stream flowing out of the tank ($F_{out}$) given by $F_{out}=kH$, where H is the liquid level in the tank. Initially the level is constant when the inlet feed rate is 20 gal/min. Assume that a control valve with a time constant of $\tau$ of 5 seconds is used to implement the change in $F_{in}$ and the sensor will directly measure the level without any delay. The control valve has the first order dynamic model. (a) Develop dynamic models for this water level control system. (b) Assuming $F_{in}$ is suddenly increased by 10%, please calculate the water level after one minute of increasing $F_{in}$ and the final water level. (1 $ft^3$=7.481 gal).

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Calculate the volume of stock solution (C1 = 226.19 mg/mL) needed to prepare 15.00 mL of a 75% concentrated solution. Submit answer in mL

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Problem: 2 (of 18) Do not round intermediate answers. Give your final answer(s) to three decimal places. Check you The 265-N force is to be resolved into components along lines a-a' and b-b'. (a) Using trigonometry, determine the angle a knowing that the component along a-a' is to be 238 N. (b) What is the corresponding value of the component along b-b'? α = 47.36 b-b' = N b 265 N 55° a

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The agency that works exclusively for the president and helps prepare the president's budget proposals, forecasts economic conditions, and analyzes proposed bills is the ________. A. Office of Management and Budget B. Bureau of the Budget C. Congressional Budget Office D. General Accountability Office

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When materials are moved across the plasma membrane with the assistance of transmembrane proteins, down a concentration gradient, without the expenditure of cellular energy Onone of these. active transport. osmosis. Ofacilitated transport. simple diffusion.

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Is data considered to be tangible or intangible? Group of answer choices Tangible Intangible

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In which of the following instances could economics help you to make a decision? [mark all correct answers] a. Decide to purchase a specific brand of toilet paper. b. Decide to roll out of bed when the alarm sounds. c. Decide to cheat on an assignment in economics. d. Decide to complete a service project in the community.

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Which letter is pointing to the lumen? A B C LUMEN B A C

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In each of the number sets below, every number but one will either be rational or irrational. Identify which number in each set does not belong and explain why it does not belong. 15.-9 , 1/4 , √1 , √11 16. pi , 2.718281... , √9 , √2 17. ^3√3512 , √144 , 0.555... , pi Perform the following conversions. You must show all the steps. No calculators allowed! 18.Write 0.74 as a fraction. 19. Write 0.3668 as a fraction.

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Trial Solution (To the nearest 0.01 mL) Molarity of HCI (from previous) (mol/L) 0.0100L Hcl 4.75 L NH3 0.05 mol Hel ILHCI Table 2. Determination of NH3 in a Commercial Cleaning Solution (40 points) Volume of Cleaning Imol NH3 I mol HCl Volume of HCI (To the nearest 0.05 mL) Molarity of NH3 in Cleaning Solution* (mol/L) = 1 10.00 mL. 0.8 9.75 mL 0.05159 mol 2 10.00mL 0.8 9.40 mL 0.0578 mol L 3 10.00 mL 08 8.85 ML 0.0614-mou 4 10.00 mL 08 8.30mL 0.0602 mol L 5 (If necessary) 10.00 mL 08 9.05 mL 0.0552 mol L *Show calculations. Attach additional sheets of papers. According to our experiment, the average concentration of NH3 in the commercial cleaning solution is Observations/Discussions: Describe the dilution of ammonia cleaning solution. MNH3

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tony b.