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?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

Chemistry: The Central Science | 14th Edition | ISBN: 9780134414232 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus ISBN: 9780134414232 1274

Solution for problem 12.34 Chapter 12

Chemistry: The Central Science | 14th Edition

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Chemistry: The Central Science | 14th Edition | ISBN: 9780134414232 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus

Chemistry: The Central Science | 14th Edition

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Problem 12.34

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)

Step-by-Step Solution:

Step 1 of 5) To determine the concentrations of the species involved in the equilibrium, we consider that the solution is initially 0.10 M in HCOOH molecules. We then consider the ionization of the acid into H+ and HCOO-. For each HCOOH molecule that ionizes, one H+ ion and one ion are produced in solution. Because the pH measurement indicates that 3H+4 = 4.2 * 10-3 M at equilibrium, we can construct the following table:The properties of an acid solution that relate directly to the concentration of H+1aq2, such as electrical conductivity and rate of reaction with an active metal, are less evident for a solution of a weak acid than for a solution of a strong acid of the same concentration. Figure 16.11 presents an experiment that demonstrates this difference with 1 M CH3COOH and 1 M HCl. The concentration is only 0.004 M, whereas the 1 M HCl solution contains. As a result, the reaction rate with the metal is much faster in the HCl solution. As the concentration of a weak acid increases, the equilibrium concentration of H+1aq2 increases, as expected. However, as shown in Figure 16.12, the percent ionization decreases as the concentration increases. Thus, the concentration of H+1aq2 is not directly proportional to the concentration of the weak acid. For example, doubling the concentration of a weak acid does not double the concentration of H+1aq2.

Step 2 of 2

Chapter 12, Problem 12.34 is Solved
Textbook: Chemistry: The Central Science
Edition: 14
Author: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus
ISBN: 9780134414232

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?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