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One Integer Value Correct Type
This section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).
This section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).
Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?
Correct answer is '7'. Can you explain this answer?
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One Integer Value Correct TypeThis section contains 3 questions, when ...
Solution:
Given,
- Atoms of element B form hep lattice
- Atoms of element A occupy 2/3rd of tetrahedral voids
To find:
- Total number of atoms of A and B in the hep lattice
Let's assume that there are 'x' atoms of B and 'y' atoms of A in the hep lattice.
Number of tetrahedral voids = Number of atoms of B
Number of octahedral voids = Number of atoms of A/2
As per the question, atoms of A occupy 2/3rd of tetrahedral voids.
Therefore, number of atoms of A in tetrahedral voids = 2/3 * Number of atoms of B
Also, number of atoms of A in octahedral voids = Number of atoms of A/2
Total number of atoms of A = Number of atoms of A in tetrahedral voids + Number of atoms of A in octahedral voids
= 2/3 * Number of atoms of B + Number of atoms of A/2
= 4/6 * Number of atoms of B + 3/6 * Number of atoms of A
= (4/6)x + (3/6)y
Similarly, total number of atoms of B = x
Total number of atoms in the hep lattice = x + [(4/6)x + (3/6)y]
= (10/6)x + (3/6)y
= (5/3)x + (1/2)y
As the total number of atoms in the hep lattice is an integer value, we can assume that x = 3.
Substituting x = 3 in the above equation, we get:
Total number of atoms in the hep lattice = (5/3)(3) + (1/2)y
= 5 + (1/2)y
For the total number of atoms in the hep lattice to be an integer, y must be odd.
Therefore, possible values of y are 1, 3, 5, 7, and 9.
Out of these, only for y=7, the total number of atoms in the hep lattice will be an integer.
Hence, the correct answer is '7'.
Given,
- Atoms of element B form hep lattice
- Atoms of element A occupy 2/3rd of tetrahedral voids
To find:
- Total number of atoms of A and B in the hep lattice
Let's assume that there are 'x' atoms of B and 'y' atoms of A in the hep lattice.
Number of tetrahedral voids = Number of atoms of B
Number of octahedral voids = Number of atoms of A/2
As per the question, atoms of A occupy 2/3rd of tetrahedral voids.
Therefore, number of atoms of A in tetrahedral voids = 2/3 * Number of atoms of B
Also, number of atoms of A in octahedral voids = Number of atoms of A/2
Total number of atoms of A = Number of atoms of A in tetrahedral voids + Number of atoms of A in octahedral voids
= 2/3 * Number of atoms of B + Number of atoms of A/2
= 4/6 * Number of atoms of B + 3/6 * Number of atoms of A
= (4/6)x + (3/6)y
Similarly, total number of atoms of B = x
Total number of atoms in the hep lattice = x + [(4/6)x + (3/6)y]
= (10/6)x + (3/6)y
= (5/3)x + (1/2)y
As the total number of atoms in the hep lattice is an integer value, we can assume that x = 3.
Substituting x = 3 in the above equation, we get:
Total number of atoms in the hep lattice = (5/3)(3) + (1/2)y
= 5 + (1/2)y
For the total number of atoms in the hep lattice to be an integer, y must be odd.
Therefore, possible values of y are 1, 3, 5, 7, and 9.
Out of these, only for y=7, the total number of atoms in the hep lattice will be an integer.
Hence, the correct answer is '7'.
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Community Answer
One Integer Value Correct TypeThis section contains 3 questions, when ...
Number of atoms in tetrahedral in small cube of unit cell of B = 4
Thus, tetrahedral voids in unit cell of B = 8.
Number of atoms of A = 2/3 of tetrahedral voids of B
Total number of atoms in lattice = 4 + 3 = 7
Thus, tetrahedral voids in unit cell of B = 8.
Number of atoms of A = 2/3 of tetrahedral voids of B
Total number of atoms in lattice = 4 + 3 = 7
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One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer?
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One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer?.
One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer?.
Solutions for One Integer Value Correct TypeThis section contains 3 questions, when worked out will result in an integer value from 0 to 9 (both inclusive).Atoms of an element B form hep lattice and those o f the element A occupy 2/3rd of tetrahedral voids. How many num ber of atoms of A and B (in total) are present in the hep lattice?Correct answer is '7'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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