?Sodium metal (atomic weight 22.99 g/mol) adopts a body-centered cubic structure with a density of \(0.97 \mathrm{~g} / \mathrm{cm}^{3}\). (a

Chapter 12, Problem 12.34

(choose chapter or problem)

Sodium metal (atomic weight 22.99 g/mol) adopts a body-centered cubic structure with a density of \(0.97 \mathrm{~g} / \mathrm{cm}^{3}\).

(a) Use this information and Avogadro’s number \(\left(N_{\mathrm{A}}=6.022 \times 10^{23} / \mathrm{mol}\right)\) to estimate the atomic radius of sodium.

(b) If sodium didn’t react so vigorously, it could float on water. Use the answer from part (a) to estimate the density of Na if its structure were that of a cubic close packed metal. Would it still float on water?

Text Transcription:

0.97 g / cm^3

(NA = 6.022 X 10^23/mol)

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