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.

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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.
Transcribed Image Text: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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