In a process, Methyl Ethyl Ketone, MEK is used to dissolve a thin coating of Polymer film away from a $3030$ cm

$2$

surface. The thickness of the film is initially $\mathrm{.}1$ mm$.$ Liquid MEK with the volumetric flow rate of $40$ cm

$3$

$/$s flows on top of the flat surface. The depth of liquid MEK flow is $2$ cm and the concentration of dissolved polymer in the bulk solvent is zero $($C

A$,\backslash$infty

$$

$=0).$ Let A$=$ polymer and B$=$MEK. a$)$ What are the Sc and average Sh numbers? b$)$ What is the average mass flux of dissolved polymer from the surface? c$)$ What are the thickness of velocity and concentration boundary layers at x$=20$ cm $?$ Potentially useful data: D

AB

$$

$=3\mathrm{.}0\backslash$times $10$

$6$

cm

$2$

$/$s$,$ the diffusion coefficient of dissolved polymer $($solute A $)$ in liquid MEK solvent at $25$

$$

C;$\backslash$rho

A$,$ solid

$$

$=1\mathrm{.}05$ g$/$cm

$3$

$,$ mass density of solid polymer film material; c

As

$$

$=$c

A

$$

$$

$=0\mathrm{.}04$ g$/$cm

$3$

$,$ maximum solubility of dissolved polymer $($solute A $)$ in MEK solvent at $25$

$$

C;

u

B

$$

$=6\mathrm{.}0\backslash$times $10$

$3$

cm

$2$

$/$s$,$ kinematic viscosity of liquid MEK at $25$

$$

C;$\backslash$rho

B

$$

$=0\mathrm{.}80$ g$/$cm

$3$

$,$ mass density of liquid MEK solvent at $25$

$$

C$.$