Answered: Platinum nanoparticles of diameter ∼2…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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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. 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 ° .

Expert Solution

Step 1

(a)

For face-centered cubic crystal lattice, the relationship between radius and edge length is given below.

The value of radius for platinum atom can be obtained by putting the value of edge length in the above expression.

The volume of Pt atoms is calculated by the formula,

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