1. Mr. Pein has an aquarium that has a volume of 2000 mL and containsfreshwater fish. One day, Mr. Pein's son accidentally spilled 1 kilogramof salt into the aquarium. The fish will die if they are in water with a saltconcentration of more than 10-3 grams/mL for more than 30 minutes. Sothat the fish in the aquarium do not die, Mr. Pein must immediatelyreduce the salt concentration in the aquarium to 10-3 grams/mL byflowing fresh water at a constant rate through the aquarium, andremoving the water from the aquarium at the same rate. What is theminimum water speed so that the fish don't die?In 500А.60000mL/minute2000В.30In 500 mL/min1996С.mL/minute30In 500D.6000mL/minute200Е.30In 500 mL/min

Notation used: vin = volumetric inflow rate of water mLminvf = volumetric outflow rate of water…

Answered: 1. Mr. Pein has an aquarium that has a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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1. At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing into the tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at a rate of 3 L per hour. At What time will the tank contain 100 g of salt (or will the tank empty before this happens)? 2. At 12:00 p.m. the next day, another tank contains 150 g of salt dissolved in 8 L of water. Water containing 10 g of salt per L begins flowing into the tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at the same rate. At What time will the tank contain 100 g of salt (or will this never happen)?
How many mL of solution will be infused in 4 hours if the flow rate is 20mL/h?
A vessel at time 0 contains "Vo" gallon(s) of brine with "ma" lb of salt. Another salt solution with "m," kg of salt per gallon enters the vessel at a rate of "Qin" gal/min. Find a D.E. for the amount of salt, "m" in the tank at any time, "t" if the thoroughly mixed solution leaves the tank at a rate of "Qout" gal/min. Select the correct response: dm m = 2.2m,Qout Vo dt mQout Vo + (Qout – Qin)t dm miQin dt dm m = 2.2m,Qout Vo dt dm = 2.2m,Qin dt mQout Vo + (Qin – Qout)t none of these
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.
Initially a tank contains 10 liters of pure water. Brine of unknown (but constant) concentration of salt is flowing in at 1 liter per minute. The water is mixed well and drained at 1 liter per minute. In 20 minutes there are 15 grams of salt in the tank. What is the concentration of salt in the incoming brine?
A 400 gallon tank initially contains 200 gallons of water that contains 2 parts per 1 billion by weight of a dioxin, an extremely potent carcinogen. Assume that water containing 5 parts per 1 billion dioxin flows up the tank at the rate of 4 gallons per minute. The water in the tank is kept well mixed and two gallons per minute are withdrawn from the bottom of the tank. A) How much dioxin is in the tank 1 hour after starting the process? B) How much dioxin is in the tank when it is full?c) What is the dioxin concentration when the tank is full?
A tank with capacity of Igo00 liters contains 800liters ot water in which are dissolved 23400 arams of Stuff, Water containing I gram of Stuff per liter begins entering the tank at 3liters per hour. At the same time the tank is being drained at I liter per hour. what is the concentration ( grams per liter) of Stuff in the tank just as it begins to over flow?
How do I calculate the ounces in 2 cups of milk, 2.66 cups of flour, and 1.5 cups of milk using 1 cup = 8 ounces? (Int cup = 8)?
A tand contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 liters/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at the rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at 15 liters/min. How much salt is left in the tank after 1 hour?
There's a tank containing 50 L of a solution into which 10 g of salt is dissolved in. A solution that contains 2g/L of salt flows into the tank at a rate of 4L/min and the well stirred mixture flows out at a rate of 2L/min. Find the following. What is the concentration of salt in the tank after 30 mins?
Oil flows at a constant rate of 10L/min into a tank that can hold 40L of liquid. Initially the tank held 20 L of brine solution, which dissolved 2kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 8 L/min. Find the amount of salt in the tank when the tank is full.
A 500 gal capacity tank initially contains 200 gal of water and 5 Ibs of salt per gallon. To reduce the concentration, water at the rate of 3 gal/min enters the tank and the thoroughly mixed solution flows out at the same rate. After 20 min. the process is stopped and brine solution flows into the tank at the same rate of 3 gal/min and at a concentration of 2 Ibs/gal. The mixed solution flows out at the rate of 2 gal/min. Find the amount of salt in the tank 30 min. after resumption of the process. O 699.79 Ib O 717.71 lb O 560.17 Ib O 913.68 Ib

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