Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tankA into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside eachtank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,initially, tank A contains pure water and tank B contains 20 kg of salt.A6 L/min0.2 kg/Lx(t)100 L4 L/minx(0) = 0 kg3 L/minBy(t)100 Ly(0) = 20 kg2 L/min1 L/minFigure Q1 - Mixing problem for interconnected tanksDetermine the mass of salt in each tank at time t > 0:Analytically (hand calculations)

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Answered: Two large tanks, each holding 100 L of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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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 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If, initially, tank A contains pure water and tank B contains 20 kg of salt. A 6 L/min 0.2 kg/L x(t) 100 L 4 L/min x(0) = 0 kg 3 L/min 1 L/min B y(t) 100 L y(0) = 20 kg 2 L/min Figure Q1 - Mixing problem for interconnected tanks Determine the mass of salt in each tank at time t≥ 0: Analytically (hand calculations) Using MATLAB Numerical Functions (ode45) Creating Simulink Model Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
1. At time t = 0 a tank contains Qo Ib of salt dissolved in 100 gal of water. Assume that water containing 1/4 Ib of salt/gal is entering the tank at a rate of r gal/min, and that the well-stirred mixture is draining from the tank at the same rate. Set up the initial value problem that describes this flow process. Find the amount of salt Q(t) in the tank at any time, and also find the limiting amount QL that is present after a very long time. If r = 3 and Qo 2Q, find the time T after which the salt level is within 2% of Q. Also find the flow rate that is required if the value of T is not to exceed 45 min. %3D %3D
Pump Horsepower in Brine System. A pump pumps 0.200 ft3/s of brine solution having a density of 1.15 g/cm3 from an open feed tank having a large cross-sectional area. The suction line has an inside diameter of 3.548 in. and the discharge line from the pump a diameter of 2.067 in. The discharge flow goes to an open overhead tank, and the open end of this line is 75 ft above the liquid level in the feed tank. If the friction losses in the piping system are 18.0 ft lbf/lb m, what pressure must the pump develop and what is the horsepower of the pump if the efficiency is 70%? The flow is turbulent.
A siphon is a device in which liquid is transferred from one place to another without requiring any pump power. A tank is filled with water, and a valve at the top is open to the atmosphere. A siphon is used to drain water as shown in the figure below where X = 4.6 m and Y = 0.9 m. The siphon has the outside diameter (OD) of 50 mm and the wall thickness of 1.5 mm. Any loss can be ignored. Water Y X +B 50-mm OD x 1.5-mm wall 25-mm diameter (a) What is the volume flow rate of water at the nozzle exit? (b) Evaluate the pressure at points A and B. (c) What is the distance X required to obtain a volume flow rate of 7.1 x 10-3 m³/s? (d) It is required that the siphon transport water at the volume flow rate of 5.6 x 10-3 m³/s. What is the maximum allowable distance Y when the gauge pressure at B is -18 kPa.
Your company is designing a new pump that will continuously infuse saline into a patient's circulatory system at a controlled rate. The pump must output no more than 1 J of energy during piston movement, or otherwise could generate sufficient force to damage the patient's blood vessels. Utilizing the diagram below for the cylindrical pump assembly, calculate the maximum stroke distance (x) of the piston in meters and an expression of the final temperature of the saline as the solution leaves the pump and enters the patient's body (assume that the starting temperature is 37C).
Q4: A pressurized tank is providing water for a fountain at a steady flow rate, shown in the following figure. The pipe has a constant diameter. If the tank is pressurized to 50 kPa. Determine: 1) The height h, to which the water rises (hint: apply the Bernoulli's equation between points 0 and 2, where velocity is both zero); 2) The water velocity in the pipe (hint: apply the Bernoulli's equation between points 0 and 3 after h is found); 3) The static pressure of water in the horizontal part of the pipe. 2 All Water 50 kN/ 0 Figure 4. Q4
STELIA Aerospace are planning to design a spherical cryogenic tank to be stored with liquid hydrogen. It is also designed with a system that if the tank reaches maximum capacity all entry and exit nozzles will automatically be closed. The specific gravity of this fluid is approximately seven hundredths the density of water. The tank is designed to have two-entry filtration system and an exit nozzle located at the bottom. The liquid hydrogen flows into the cryogenic tank at a rate of 0.85 kilograms per second and 0.75 kilograms per second. At the same time the exit nozzle is opened with a rate of 0.005 kilograms per second. (a)The shutoff valves were closed after 35 minutes, what is the volume and radius of the spherical tank? (b) Using your answers on item a, how full is the tank (in percentage) after 27.15 minutes?
NEED IMMEDIATELY. 1)Determine the mass flow rate in lbm/s of a liquid (ρ = 0.8 g/cm3) flowing through a 2 in (inside diameter) pipe at 480 m/min. A horizontal pipe of cross section 1.5 in2 has a constriction of cross section of 2 cm2. Gasoline flows in the larger pipe with a speed of 500 m/hr. Find the speed in the constriction in ft/min. SHOW COMPLETE SOLUTION and conversion
can you please solve question 1
(b) The water is siphoned out of the tank shown in Figure Q4 (b). Determine the flow rate from the tank and the pressures at points (1) and (2).
What is the rate of superheated water vapor being added to the mixing chamber?
A liquid is flowing from one large tank to another through a 1 in. diameter pipe. The level in tank A is 20 ft above the level in tank B. The pressure above the water in tank A is 10 psig, and in tank B it is 35 psig. Which direction is the water flowing?

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