“…For internal mass transfer, the values of Thiele modulus, internal effectiveness factor, and Weisz-Prater criterion were computed based on the first order of reduction for Ag/TiO 2 . [52] where ϕ 1 is the Thiele modulus, η is the internal effectiveness factor, C W − P is the Weisz-Prater criterion, R cat is the particle radius (56.57 nm for Ag/TiO 2 -10 sample), k is the reduction rate constant, D e is the effective diffusivity, D K ð Þ H 2 is the Knudsen diffusivity of H 2 , ϕ p is the porosity (0.4), σ c is the constriction factor (0.8), e τ is the tortuosity (3), d is the pore diameter (9.53 nm), R is the ideal gas constant, T is the reduction temperature, M A is the molecular mass of H 2 . Based on these data, the values for ϕ 1 , η, and C W − P are 1.01 × 10 −5 , 0.9999 and 1.02 × 10 −10 for the first peak and 8.2 × 10 −6 , 1.00 and 6.72 × 10 −11 for the second peak at their respective reduction peak temperatures (389.3 and 490 K).…”