(Solved): In a process, Methyl Ethyl Ketone, MEK is used to dissolve a thin coating of Polymer film away fro ...

In a process, Methyl Ethyl Ketone, MEK is used to dissolve a thin coating of Polymer film away from a $$30?30{\mathrm{cm}}^2$$ surface. The thickness of the film is initially $$.1\mathrm{mm}$$. Liquid MEK with the volumetric flow rate of $$40{\mathrm{cm}}^3/\mathrm{s}$$ flows on top of the flat surface. The depth of liquid MEK flow is $$2\mathrm{cm}$$ and the concentration of dissolved polymer in the bulk solvent is zero $$\left(C_{A,?}=0\right)$$. Let $$\mathrm{A}=$$ polymer and $$\mathrm{B}=\mathrm{MEK}$$. 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 $$x=20\mathrm{cm}$$ ? Potentially useful data: $$D_{AB}=3.0\times 10^{?6}{\mathrm{cm}}^2/\mathrm{s}$$, the diffusion coefficient of dissolved polymer (solute $$A$$ ) in liquid MEK solvent at $$25^{?}\mathrm{C};{?}_{A,\text{ solid }}=1.05\mathrm{g}/{\mathrm{cm}}^3$$, mass density of solid polymer film material; $$c_{As}=c_A{}^{?}=0.04\mathrm{g}/{\mathrm{cm}}^3$$, maximum solubility of dissolved polymer (solute $$A$$ ) in MEK solvent at $$25^{?}\mathrm{C};{?}_B=6.0\times 10^{?3}{\mathrm{cm}}^2/\mathrm{s}$$, kinematic viscosity of liquid $$\mathrm{MEK}$$ at $$25^{?}\mathrm{C};{?}_B=0.80\mathrm{g}/{\mathrm{cm}}^3$$, mass density of liquid MEK solvent at $$25^{?}\mathrm{C}$$.