A food manufacturer has a large 1000L vat initially filled w

A food manufacturer has a large 1000L vat initially filled with 1000g of salt in 100L of pure water at t = 0. Tomato puree (liquid consistency) with no salt is added at a rate of 10L/min. A seasoning mixture (liquid consistency) with a concentration of 75g salt/L is added at a rate of r(t) in L/min. The vat is well stirred at all times. The vat contents are emptied from the vat into a secondary container at a rate of 5L/min where t is in minutes. Write and initial value problem for the amount of salt in the vat at any time t. Be sure to indicate what your variables mean, including units. Hint: how much liquid is in the vat in any given minute? Do not attempt to solve this differential equation

Solution

http://tinypic.com/r/2rr87x1/8