Strict warning: No AI$.$ Create a flawless table.

AW$05$

"Problem $3\mathrm{.}10.$ A solid product P is formed by the reaction between a gas A whose concentration remains constant during the reaction and a solid B $($spherical particles$)$ according to the stoichiometry $$g $+2$s $.$ The reaction is to be carried out in a furnace in which solids and gas are continuously fed and move in plug flow. If the furnace has a height of $2$ m and a diameter of $10$ cm$,$ calculate the conversion achieved by the solid in the operation.

Data: Particle diameter: $1$ cm; gas flow: $100$L$/$h; solids flow rate: $5$ kg$/$h; Solid MW: $300$ g$/$mol; mass transfer coefficient: $10-4$ m$/$s; specific reaction rate constant K$$: $10$ m$/$sec; effective diffusivity De: $5$x$10-5$ m$2/$s; temperature: $200$C$.$ The NSR model can be applied for particles of constant size.

NSR Model $($Ctte Size Spherical Particle$)$:

$$

$1/3$kg$$gas film diffusion resistance$($seg$.$m$-1)$

R$/6$De$$ ash diffusion resistance$($seg$.$m$-1)$

$1/$k$$resistance to chemical reaction$($seg$.$m$-1)"$