We are pumping $15\%$ carboxymethlcellulose in water through a pipe with an I.D$.=0\mathrm{.}053m$ and length $113m.$ One end of the pipe is connected to our pump that can generate a pressure of up to $\frac{1\mathrm{.}5}{b}ar.$ The other end of the pipe is open to the atmosphere. What is he maximum volumetric flow $($in $m^3$ PER HOUR$)$ can we expect? Do not enter the units in the answer box and ignore any roughness effects of the pipe.

Consult the text for the fluid properties of $15\%$

carboxymethicellulose

$n=0\mathrm{.}554$;$K=3\mathrm{.}13k\frac{g}{m}-s^{2-n}$