Initially, a tank contains 1000 liters
of salt water in which 50 kg of salt is
dissolved. The tank is under
proper stirring all the time. At time 0,
salt solution containing 10 g of salt
per liter is also added
a constant flow of 10 L/min to the
tank. At the same time, 10 L/min of
the tank's contents are allowed to
flow
out.
a) Write an expression for how the
amount of salt (in kg) varies with
time in the tank. Hint, line up and
solve the differential equation.
b) Plot the amount of salt in the tank
against time.
