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# 3. A 100L mixing tank is initially filled with 20 g/1 sugar solution. As more sugar solution is pumped in, & tap is opened, draining some of the tank Sugar wate...

## Question

###### 3. A 100L mixing tank is initially filled with 20 g/1 sugar solution. As more sugar solution is pumped in, & tap is opened, draining some of the tank Sugar water enters the tank at the rate of 10 L/ht; but the level of sweetness is constantly increasing; so that the solution has t2 g/L of sugar after t hours The solutions are mixed instantly and the amount drained is 20 L/hr Find the concentration of the sugar in the mixing tank and prove mathematically what the concentration is equal to as

3. A 100L mixing tank is initially filled with 20 g/1 sugar solution. As more sugar solution is pumped in, & tap is opened, draining some of the tank Sugar water enters the tank at the rate of 10 L/ht; but the level of sweetness is constantly increasing; so that the solution has t2 g/L of sugar after t hours The solutions are mixed instantly and the amount drained is 20 L/hr Find the concentration of the sugar in the mixing tank and prove mathematically what the concentration is equal to as the last drops are emptied from the tank The answer to this second part should be physically simple, but we are looking for a proof [10 marks]

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