A tank is initially filled with 1000 litres of a salt solution containing 1000 grams of salt. A solution containing 10 g/l runs into the tank at the rate of 5 l/min and the well stirred mixture runs out of the tank at the same rate.
(i) Determine the differential equation with initial condition that models this situation.
(ii) Determine how long it will take for the salt in the tank reaching 2500g.
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