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Chemistry / Chemistry: The Central Science 12 / Chapter 7 / Problem 38E

Chemistry: The Central Science | 12th Edition | ISBN: 9780321696724 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward

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In the ionic compounds LiF,NaCl, KBr, and RbI, the

Chapter 4, Problem 38E

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QUESTION:

In the ionic compounds LiF, NaCl, KBr, and RbI, the measured cation–anion distances are 2.01 Å (Li–F), 2.82 Å (Na–Cl), 3.30 Å (K–Br), and 3.67 Å (Rb–I), respectively. (a) Predict the cation–anion distance using the values of ionic radii given in Figure 7.7. (b) Calculate the difference between the experimentally measured ion–ion distances and the ones predicted from Figure 7.7. Assuming we have an accuracy of 0.04 Å in the measurement, would you say that the two sets of ion–ion distances are the same or not? (c) What estimates of the cation–anion distance would you obtain for these four compounds using bonding atomic radii? Are these estimates as accurate as the estimates using ionic radii?

Questions & Answers

QUESTION:

In the ionic compounds LiF, NaCl, KBr, and RbI, the measured cation–anion distances are 2.01 Å (Li–F), 2.82 Å (Na–Cl), 3.30 Å (K–Br), and 3.67 Å (Rb–I), respectively. (a) Predict the cation–anion distance using the values of ionic radii given in Figure 7.7. (b) Calculate the difference between the experimentally measured ion–ion distances and the ones predicted from Figure 7.7. Assuming we have an accuracy of 0.04 Å in the measurement, would you say that the two sets of ion–ion distances are the same or not? (c) What estimates of the cation–anion distance would you obtain for these four compounds using bonding atomic radii? Are these estimates as accurate as the estimates using ionic radii?

ANSWER:

Problem 38E

In the ionic compounds LiF, NaCl, KBr, and Rbl, the measured cation-anion distances are

2.01 (Li-F), 2.82 (Na-Cl), 3.30 (K-Br), and 3.67 (Rb-1), respectively. (a) Predict

the cation-anion distance using the values of ionic radii given in Figure 7.7.(b) Calculate

the difference between the experimentally measured ion-ion distances and the ones

predicted from Figure 7.7. Assuming we have an accuracy of 0.04 in the measurement, would you say that the two sets of ion-ion distances are the same or not? (c) What

estimates of the cation-anion distance would you obtain for these four compounds

using bonding atomic radii? Are these estimates as accurate as the estimates using

ionic radii?

Step by Step Solution

Step 1 of 3

(a)

The ionic radius of cation

The ionic radius of anion

The cation-anion (Li-F) distance = ionic radius of cation + ionic radius of anion

The ionic radius of cation

The ionic radius of anion

The cation-anion (Na-Cl) distance = ionic radius of cation + ionic radius of anion

The ionic radius of cation

The ionic radius of anion

The cation-anion (K-Br) distance = ionic radius of cation + ionic radius of anion

The ionic radius of cation

The ionic radius of anion

The cation-anion (Rb-I) distance = ionic radius of cation + ionic radius of anion

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