The system shown in 18.4 of the book is used as the basis to evaluate the order

Question

The system shown in 18.4 of the book is used as the basis to evaluate the order of reaction A + B rightarrow C where the rate of disappearance of 'A' per unit volume is and 'n' is not known. The liquid depth is high enough so that at z rightarrow infinity, the concentration of A reaches "0" and no more diffusion happens. The concentration of A at the liquid surface (z = 0) is Cin = 0.035mol/m3 and the diffusivity can be assumed to be constant Dxs = 5 times 10-5 m2/2. In order to find the order of reaction, several experiments were performed where the temperature was changed so that the reaction rate constant k*s was changed but the diffusivity retained constant. Then the rate of adsorption (molar flux) of "A" was measured for those experiments. Develop only the differential equation and boundary conditions to find the concentration of "A" profile in the liquid. Clearly state your assumptions Find the relationship between the rate of adsorption of "A" with the diffusivity, reaction rate constant, Cm and reaction order "n". Plot the adsorption ratio vs. and find the value for "n". For part b, you need to find dCs/dz|r=0 For part c, you can use Microsoft Excel or a similar program. Units of lambda mn in (mol/m3)1-a s-1. k*s Nx|r=0 (mol/m2)1-a s-1 mol/m2s 1.84589E-05 -4.1568E-08 1.90959E-05 -4.2279E-08 1.93337E-05 -4.2542E-08

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