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Platinum nanoparticles of diameter 2 nm are important
catalysts in carbon monoxide oxidation to carbon
dioxide. Platinum crystallizes in a face-centered cubic
arrangement with an edge length of 3.924 Å. (b) Estimate
how many platinum atoms are on the surface of a 2.0-nm
Pt sphere, using the surface area of a sphere 14pr22 and
assuming that the “footprint” of one Pt atom can be estimated
from its atomic diameter of 2.8 A .