A company is experimenting with a new type of PFR reactor that allows them to adjust the inner

diameter of the pipe. It was made so that at some point there is a decrease in the overall diameter

in the pipe, to help with mixing. Currently you are using it to run the elementary reaction

$2AB+C.$ Unfortunately, there is a small flaw in the design, and we see a small, pin$-$point

crack form beyond the diameter decrease, where contents are leaking at a rate $5\%$ of the inlet

flow. Is it possible to have only a $10\%$ decrease in conversion at the outlet of the reactor

$($depending on the location of the tear$)?$ Mathematically show why$/$why not. Assume temperature

and pressure change is negligible, and PFR assumptions hold throughout.

Hint: Begin with mole balances.