Two streams flow into a $500\mathrm{.}0-$gallon tank. The first stream is $10\mathrm{.}0wt\%$ ethanol and $90\mathrm{.}0$ wt $\%$ hexane $($mixture density is ${}_{1}0\mathrm{.}680$

$\frac{g}{c}{m}^3)$ and the second is $90\mathrm{.}0wt\%$ ethanol, $10\mathrm{.}0wt\%$ hexane $($mixture density ${}_{2}0\mathrm{.}780\frac{g}{c}{m}^3).$

After the tank has been filled, which takes $12\mathrm{.}0$ minutes, an analysis of its contents determines that it is $75\mathrm{.}0$ wt $\%$ ethanol and $25\mathrm{.}0$

wt $\%$ hexane.

Estimate the density of the final mixture and the mass and volumetric flow rates of the two feed streams.

Mass flow rate of stream $1$:

i

$k\frac{g}{m}in$

Volumetric flow rate of stream $1$ :

i

$\frac{L}{m}in$

Mass flow rate of stream $2$:

$k\frac{g}{m}in$

Volumetric flow rate of stream $2$ :

$\frac{L}{m}in$

Density of mixure:

$\frac{g}{c}{m}^3$