inflowoutflowmixing tankFigure 1Figure 1 shows a mixing tank for sugar syrup. The volume of syrup in the tank is always kept at5000 litre. At initial (t = 0), the amount of sugar in the tank is 30kg. The tank is supplied withsyrup through the inflow pipe at a rate of 20 litre/min. This inflow syrup contains 1kg of sugarper each litre of syrup. At the same time, the syrup is discharge out from the tank through theoutflow pipe at a rate of 10 litre/min. Determine the amount of sugar in the tank at any time t.Hint: use the principle of mass conservation as follows:Rate of change of mass in a tank = rate of mass entering the tank – rate of mass exiting the tank.

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Figure 1 shows a mixing tank for sugar syrup. The volume of syrup in the tank is always kept at 5000 litre. At initial (t = 0), the amount of sugar in the tank is 30kg. The tank is supplied with syrup through the inflow pipe at a rate of 20 litre/min. This inflow syrup contains Ikg of sugar per each litre of syrup. At the same time, the syrup is discharge out from the tank through the outflow pipe at a rate of 10 litre/min. Determine the amount of sugar in the tank at any time t. Hint: use the principle of mass conservation as follows: Rate of change of mass in a tank = rate of mass entering the tank – rate of mass exiting the tank.

Figure 1 shows a mixing tank for sugar syrup. The volume of syrup in the tank is always kept at 5000 litre. At initial (t = 0), the amount of sugar in the tank is 30kg. The tank is supplied with syrup through the inflow pipe at a rate of 20 litre/min. This inflow syrup contains Ikg of sugar per each litre of syrup. At the same time, the syrup is discharge out from the tank through the outflow pipe at a rate of 10 litre/min. Determine the amount of sugar in the tank at any time t. Hint: use the principle of mass conservation as follows: Rate of change of mass in a tank = rate of mass entering the tank – rate of mass exiting the tank.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

inflow
outflow
mixing tank
Figure 1
Figure 1 shows a mixing tank for sugar syrup. The volume of syrup in the tank is always kept at
5000 litre. At initial (t = 0), the amount of sugar in the tank is 30kg. The tank is supplied with
syrup through the inflow pipe at a rate of 20 litre/min. This inflow syrup contains 1kg of sugar
per each litre of syrup. At the same time, the syrup is discharge out from the tank through the
outflow pipe at a rate of 10 litre/min. Determine the amount of sugar in the tank at any time t.
Hint: use the principle of mass conservation as follows:
Rate of change of mass in a tank = rate of mass entering the tank – rate of mass exiting the tank.

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