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

Chemistry: The Central Science | 12th Edition | ISBN: 9780321696724 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward ISBN: 9780321696724 27

Solution for problem 38E Chapter 7

Chemistry: The Central Science | 12th Edition

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

Chemistry: The Central Science | 12th Edition

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Problem 38E

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?

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Step-by-Step Solution:

Problem 38EIn the ionic compounds LiF,NiCl, KBr, and RbI, the measured cation-anion distances are2.01 Å (Li-F), 2.82 Å (NaCl), 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 andthe ones predicted from Figure 7.7. Assuming we have accuracy of 0.04 Å in themeasurement, would you say that the two set of ion-ion distances are the same or not( c) What estimates of the cation-anion distance would you obtain for these fourcompounds using bonding atomic radii Are these estimates as accurate as theestimates using ionic radii Step 1 of 14SOLUTIONAnalyze and Plan: We are given experimental measured cation-anion distance of fourcompounds and use ionic and bonding atomic radii from figure 7.7 we have to calculate thedifference between the experimentally measured ion-ion distance and the ones predicted fromfigure 7.7. Cation-anion distance is equal to the sum of cation and anion ionic radii. Step 2 of 14Solve: (a) From figure 7.7 we haveThe ionic radius of cation Li = 0.90 ÅThe ionic radius of anion F = 1.19 ÅThe cation-anion(Li-F) distance = iconic radius of cation + ionic radius of anion += 0.90 Å 1.19 Å= 2.09 Å Step 3 of 14From figure 7.7. We haveThe ionic radius of cation Na = 1.16 ÅThe ionic radius of anion Cl = 1.67 ÅThe cation-anion(Li-F) distance = iconic radius of cation + ionic radius of anion\n= 1.16 Å 1.67 Å= 2.83 Å Step 4 of 14From figure 7.7. We haveThe ionic radius of cation K = 1.52 ÅThe ionic radius of anion Br =1.82 ÅThe cation-anion (K-Br) distance = ionic radius of cation + ionic radius of anion= 1.52 Å 1.82 Å= 3.34 Å Step 5 of 14From figure 7.7. We haveThe ionic radius of cation Rb = 1.66 ÅThe ionic radius of anion I =2.06 ÅThe cation-anion (Rb-I) distance = ionic radius of cation + ionic radius of anion= 1.66 Å 2.06 Å= 3.72 Å Step 6 of 14(b) Experimentally measured cation-anion distance (Li-F) = 2.01 ÅPredicted cation-anion (Li-F) = 2.09 ÅDifference = 2.09 Å - 2.01 Å= 0.08 Å\n Step 7 of 14Experimentally measured cation-anion distance (Na-Cl) = 2.82 ÅPredicted cation-anion (Na-Cl) distance = 2.83 ÅDifference = 2.83 Å - 2.82 Å=0.01 Å

Step 8 of 14

Chapter 7, Problem 38E is Solved
Step 9 of 14

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

This textbook survival guide was created for the textbook: Chemistry: The Central Science, edition: 12. Since the solution to 38E from 7 chapter was answered, more than 1593 students have viewed the full step-by-step answer. Chemistry: The Central Science was written by and is associated to the ISBN: 9780321696724. The full step-by-step solution to problem: 38E from chapter: 7 was answered by , our top Chemistry solution expert on 04/03/17, 07:58AM. The answer to “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?Reference” is broken down into a number of easy to follow steps, and 114 words. This full solution covers the following key subjects: ion, anion, estimates, radii, distances. This expansive textbook survival guide covers 49 chapters, and 5471 solutions.

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