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Hi, a tank contains 1500L of water with 2 kg of dissolved sugar initially present. A...

Hi, a tank contains 1500L of water with 2 kg of dissolved sugar initially present. A mixture containing water with 0.5kg/L of sugar flows into the tank at a rate of 20L/min and flows out at the same rate. If you are pedantic, the mixture is kept uniform by stirring. Let x(t) denote the amount of sugar in the tank at time t, in kilograms.

i) Find an equation for dx/dt in terms of x(t), plugging in all relevant numbers.

ii) Solve the equation you found in part a) for x(t).

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