Two streams flow into a 500-gallon tank. The first stream is 10.0 wt% ethanol and 90.0% hexane (the mixture density, (ρ₁, is 0.68 g/cm³) and the second is 90.0 wt% ethanol, 10.0% hexane (ρ₂. = 0.78 g/cm³). After the tank has been filled, which takes 22 min, an analysis of its contents determines that the mixture is 60.0 wt% ethanol, 40.0% hexane. You wish to estimate the density of the final mixture and the mass and volumetric flow rates of the two feed streams.

(a) Draw and label a flowchart of the mixing process and do the degree-of-freedom analysis.

(b) Perform the calculations and state what you assumed.