Consider a pond where the water volume is 10^4 m^3.Each minute 10 m^3 of
water is added into the pond and another 10 m^3 of water is drained from the
pond, so the total water volume stays constant.Now starting at time t=0
a certain substance X is added into the pond at a constant rate of 1kg
per minute , which is immediately soluble in water . Let g(t) represent
the total amount of X in the pond at time t.
a.Write down the differential equation for g(t)
b.Solve the equation to get an expression for g(t)
c. What is the equillibrium concentarion of X ( kg/m^3)
in the pond when t→∞
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