a$)$ Calculate Thiele modulus and the internal effectiveness factor.

b$)$ What is the external mass transfer coefficient, $k_m($in $\frac{m}{s}),$ when the overall

effectiveness factor is $80\%$ of the internal effectiveness factor?

c$)$ Assuming all other catalyst and fluid properties are unchanged from partb$),$ what would

be the internal and overall effectiveness factors if the catalyst particle diameter was

halved?