at t=0,a tank contains Q0 g of the salt dissolved in 100L of water, assume that...

at t=0,a tank contains Q0 g of the salt dissolved in 100L of water, assume that water containing 1/4g of salt per L in entering the tank at a rate of r L/min. at the same time, the well-mixed mixture is draining from the tank at the same rate.

a) set up the differential equation and initial condition for the salt amount Q as a function of time.

b)find the amount of salt in the tank as a function of time t, Q(t), by solving the differential equation in the above problem.

c) when t->infinit , meaning after a long time, what is the limt amount Qlimit?

Expert Solution

Colby Messinger answered 1 year ago

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