Platinum nanoparticles of diameter ~2 nm are important
Chapter 6, Problem 83E(choose chapter or problem)
CATALYSIS (section 14.7)
Platinum nanoparticles of diameter are important catalysts in carbon monoxide oxidation to carbon dioxide. Platinum crystallizes in a face-centered cubic arrangement with an edge length of
. (a) Estimate how many platinum atoms would fit into a
sphere; the volume of a sphere is
. Recall that
and
. (b) Estimate how many platinum atoms are on the surface of a
sphere, using the surface area of a sphere
and assuming that the "footprint" of one
atom can be estimated from its atomic diameter of
. (c) Using your results from (a) and (b), calculate the percentage of
atoms that are on the surface of a
nanoparticle. (d) Repeat these calculations for a 5.0-nm platinum nanoparticle. (e) Which size of nanoparticle would you expect to be more catalytically active and why?
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