Qusetion: The system in Example has an input concentration that varies as a sine with amplitude A and frequency ω. Determine the outlet concentration for this input.

Example: The dynamic response of the mixing tank in Figure to a step change in the inlet concentration is to be determined, along with the way the speed and shape of response depend on the volume and flow rate. In this example, the outlet stream cannot be used for further production until 90% of the change in outlet con centration has occurred; therefore, a specific goal of the example is to determine how long after the step change the outlet stream reaches this composition.