Consider the following blending process. A well-mixed tankinitially contains 2000. L of a solution that is 30.0 wt%phosphoric acid. At some time we begin feeding two streams of acidof different concentration into the tank. One stream has a flowrateof 100.0 kg/min and an acid concentration of 80.0 wt %. The secondstream has a flowrate of 200. kg/min with an acid concentration of50.0 wt %. We also withdraw a stream at a rate of 5.0 kg/s. Assumethe density of the streams is 1185. kg/m3 .
a. Derive the differential equation for the weight fraction acidas a function of time.
b. How much phosphoric acid is in the tank after 20.0minutes?