Question $3(20$ pts$).$ Artificial kidney is a medical device used to remove waste metabolites from your blood in cases of kidney malfunction. The dialyzing fluid passes across a hollow membrane, and the waste products diffuse from the blood into the dialyzing fluid. The blood entering the artificial kidney unit flows at the rate of $220m\frac{l}{m}in,$ and the blood exiting the unit flows at the rate of $215m\frac{l}{m}in$ and the entering concentration of urea is $2\mathrm{.}30m\frac{g}{m}l$ and the exit concentration of urea is $1\mathrm{.}70m\frac{g}{m}l.$ Dialyzing fluid flows into the unit at the rate of $1500m\frac{l}{m}in.$

a$)$ Draw and label the flowchart of the process and perform degrees of freedom analyses.

b$)$ How much water and urea $($the main waste product$)$ pass into the dialysate?

c$)$ What is the concentration of the urea in the dialysate?