chemistry : class12 Radius Ratio : Ionic solids : Solid State MCQ Questions and Answers
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Radius Ratio
MCQ questions and answers.
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MCQ Questions
1. The radius ratio in an ionic solid is defined as the ratio of the radius of the cation to the radius of the anion. Which expression represents it?
A.
r−/r+
B.
r+/r−
C.
r+ + r−
D.
r+ − r−
Correct Answer:
r+/r−
Explanation:
The radius ratio is calculated as the radius of the cation divided by the radius of the anion, r+/r−.
2. What is the approximate radius-ratio range for a coordination number of 4 in an ionic solid?
A.
0.155–0.225
B.
0.225–0.414
C.
0.414–0.732
D.
0.732–1.000
Correct Answer:
0.414–0.732
Explanation:
A coordination number of 4 is generally associated with a radius ratio between 0.414 and 0.732.
3. An ionic solid has a cation-to-anion radius ratio of 0.30. Which coordination number is most likely according to radius-ratio rules?
A.
2
B.
3
C.
4
D.
6
Correct Answer:
3
Explanation:
A radius ratio from 0.225 to 0.414 generally gives a coordination number of 3. Since 0.30 lies in this range, the expected coordination number is 3.
4. Which radius ratio generally corresponds to a coordination number of 6?
A.
0.10
B.
0.25
C.
0.50
D.
0.85
Correct Answer:
0.85
Explanation:
Coordination number 6 is expected when the radius ratio lies approximately between 0.732 and 1.000. The value 0.85 lies in this range.
5. If the radius of a cation is 50 pm and the radius of an anion is 100 pm, what is the radius ratio?
A.
0.25
B.
0.50
C.
1.50
D.
2.00
Correct Answer:
0.50
Explanation:
The radius ratio is r+/r− = 50/100 = 0.50.
6. A radius ratio of approximately 0.20 is generally associated with which coordination number?
A.
2
B.
3
C.
4
D.
6
Correct Answer:
2
Explanation:
Radius ratios from about 0.155 to 0.225 generally correspond to coordination number 2. Therefore, 0.20 indicates coordination number 2.
7. Which coordination number is generally possible when the radius ratio is 0.70?
A.
2
B.
3
C.
4
D.
6
Correct Answer:
4
Explanation:
A radius ratio between 0.414 and 0.732 generally supports coordination number 4. The value 0.70 lies within this range.
8. For a radius ratio equal to 0.80, which coordination number is predicted by the radius-ratio rule?
A.
3
B.
4
C.
6
D.
8
Correct Answer:
6
Explanation:
A radius ratio from 0.732 to 1.000 generally corresponds to coordination number 6. Since 0.80 is in this range, the predicted coordination number is 6.
9. If the radius ratio of an ionic solid is 0.40, which coordination number is most likely?
A.
2
B.
3
C.
4
D.
6
Correct Answer:
3
Explanation:
The range 0.225–0.414 corresponds to coordination number 3. Since 0.40 falls within this range, the likely coordination number is 3.
10. Which statement about the radius ratio is correct?
A.
A larger cation generally gives a smaller radius ratio
B.
The radius ratio is calculated as anion radius divided by cation radius
C.
The radius ratio helps predict the coordination number of an ionic solid
D.
The radius ratio is the sum of cation and anion radii
Correct Answer:
The radius ratio helps predict the coordination number of an ionic solid
Explanation:
The radius ratio r+/r− is used to estimate the coordination number and geometry of ions in an ionic solid.
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