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The conversion of ortho molecular hydrogen to para molecular hydrogen is catalyzed by NiO catalyst. Consider a supported catalyst of this type with a specific

The conversion of ortho molecular hydrogen to para molecular hydrogen is catalyzed by
NiO catalyst. Consider a supported catalyst of this type with a specific surface area of
305 m2/g and a void volume of 0.484 cm3/g. The catalyst is available in spherical pellets
with an apparent particle density of 1.33 g/cm3 and a diameter of 0.5 cm. If the ortho-
para hydrogen mixture is not too far from equilibrium, an apparent 1 st order rate constant
is given by the following relation:
rate of approach to equilibrium = kr(C-C eq.)
In a system where the hydrogen pressure was 1 atm and the temperature 77 K, the
experimentally observed (apparent) rate constant was 0.159 cm3/(s gcatalyst ). Using the
straight cylindrical pore model discussed in class, determine:
a. The mean pore radius
b. The combined diffusivity for hydrogen in the pores of this catalyst
c. effectiveness of catalyst

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