6.1 Dilution of sewageIn a sewage treatment plant, a large concrete tank initially contains 440,000 litres of liquid and 10,000 kg of finesuspended solids. To flush this material out of the tank, water is pumped into the vessel at a rate of 40,000 1 h −1.Liquid containing solids leaves at the same rate. Estimate the concentration of suspended solids in the tank at the end of5 h. State your assumptions.

Solution:Let M(t) be the mass of solids at time t. The differential equation for dilution is:dM/dt =…

Answered: 6.1 Dilution of sewage In a sewage…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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
Gas is bled from a tank. Neglecting heat transfer between the gas and the tank, show that mass and energy balances produce the differential equation: dU / H'-U = dm / m Here, U and m refer to the gas remaining in the tank; H' is the specific enthaly of the gas leaving the tank. Under what conditions can one assume H'=H?
5. An air filter is used to remove small particles from an air supply to a quality control laboratory. The air is supplied at a rate of 0.5 m3/s through an air filter with a 0.5 m2 cross-section. If the pressure drop across the filter is 0.25 cm water after one hour of use, determine the life of the filter if a filter change is required when the pressure drop is 2.5 cm of water. Assume negligible filter clothes resistance
6.3 Contamination of vegetable oil Vegetable oil is used in a food processing factory to prepare instant breadcrumbs. A stirred tank is used to hold the oil. During operation of the breadcrumb process, oil is pumped from the tank at a rate of 4.8 1 h-¹. At 8 PM during the night shift, the tank is mistakenly connected to a drum of cod liver oil, which is then pumped into the tank. The volume of vegetable oil in the tank at 8 PM is 60 1. (a) If the flow rate of cod liver oil into the tank is 7.5 1h-1 and the tank has a maximum capacity of 100 1, will the tank overflow before the factory manager arrives at 9 AM? Assume that the density of both oils is the same. (b) If cod liver oil is pumped into the tank at a rate of 4.8 1 h 1 instead of 7.5 1 h−1, what is the composition of oil in the tank at midnight?
Please answer quickly thank you (4)
Problem 02.124 - Car moving through air flow An automobile moving through the air causes the air velocity (measured with respect to the car) to decrease and fill a larger flow channel. An automobile has an effective flow channel area of 3.5 m². The car is traveling at 90 km/h on a day when the barometric pressure is 70 cm of mercury and the temperature is 20°C. Behind the car, the air velocity (with respect to the car) is measured to be 82 km/h, and the temperature is 20°C. Determine the power required to move this car through the air and the area of the effective flow channel behind the car. = Flow channel The power required to move the car through the air is The area of the effective flow channel behind the car is kW. m².
14. Through a refinery, fuel ethanol is flowing in a pipe at a velocity of 1 m/s and a pressure of 101300 Pa. The refinery needs the ethanol to be at a pressure of 2 atm (202600 Pa) on a lower level. How far must the pipe drop in height in order to achieve this pressure? Assume the velocity does not change. (Hint: Use the Bernoulli equation. The density of ethanol is 789 kg/m3 and gravity g is 9.8 m/s2
Q1: Ammonia is absorbed in water from a mixture with air using a column operating at atmospheric pressure and 295 K. The resistance to transfer can be regarded as lying entirely within the gas phase. At a point in the column, the partial pressure of the ammonia is 6.6 kN/m The back pressure at the water interface is negligible, and the resistance to transfer may be regarded as lying in a stationary gas film 1 mm thick. If the diffusivity of ammonia in air is 0.236 cm2 /s, what is the transfer rate per unit area at that point in the column?
b) A 3 cm orifice plate is placed within a 4 cm pipe in which methanol at 20 °C (SG = 0.7884 and dynamic viscosity (µ) = 0.5857 cP) is flowing through. If the flow rate passing through the pipe is 3.1 litres per seconds, determine the pressure difference that must be measured around the orifice plate. The discharge coefficient of the orifice can be calculated by: 91.71B2.5 Re0.75 Cd = 0.5959 + 0.0312B2.1 – 0.184ß8 + Where, B is the ratio of orifice diameter to pipe diameter and Re is the Reynolds number.
Answer no.14
2. A cylindrical tank of diameter D contains liquid to an initial height ho. At time t = 0 a small stopper of diameter d is removed from the bottom. Using Bernoulli's equation with no losses: • Calculate a differential equation for the free surface height h (t) during draining Determine an expression for the time to to drain the entire tank. • D 1 h(t) Fig.2.The depletion of a cylindrical tank
Q4) Choose the correct answer 1- Each term of Bernoulli equation stated in the form ( p/pg+ v'/2g +Z) = constant has unit of a) N b- mN/kg e- mN/N d- mN/s 2- For pipes arranged in series: a) The head loss must be same in all pipes c- the total flow rate is same flowing through each pipe 3- The flow of fluid through a pipe is laminar when b- the velocity must be same in all pipes a- the flow is ideal b- the flow is viscous e- the Reynolds number is less than 2000 4-The ratio of maximum velocity to average velocity in laminar viscous flow in circular pipe is equal: a) 3 b) 2.5 c) 2 d) 1.5 5- The square root of inertia force to gravity force is known as: e- Weber number a- pressure coefficient d- Mach number b- Froude number

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