Final answer:
The question deals with fluid mechanics principles such as the continuity equation and mass conservation in the context of a two tanks in series mixing process. It emphasizes that the volumetric and mass flow rates into and out of a system must be equal, which is paramount in analyzing fluid flow and concentrations in interconnected tanks.
Step-by-step explanation:
The student's question involves the concept of fluid mechanics, specific to a two tanks in series mixing process. The discussion is based on the principles of the continuity equation and mass conservation in incompressible fluids. According to these principles, the mass and volume flow rates into a system must equal the mass and volume flow rates out of the system. This fact is used to analyze the concentrations and flow of fluids in interconnected tanks.
In the given scenario, we understand that there are constant volumetric flow rates into and out of each tank and the tanks are well mixed, which means the outlet concentration equals the tank concentration. This leads to an application of the formula C1V1 = C2V2, where C represents the concentration and V represents the volume in different states before and after mixing or dilution.
Mass flow rate can be calculated by multiplying the density (assumed constant in this case) of the fluid by the volume flow rate. Further implications of the continuity equation suggest that the velocity of the fluid will increase if it flows through a pipe that narrows down, as the product of cross-sectional area (A) and velocity (v) must remain constant (Q = Av).