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Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?
- a)X2Y3
- b)X3Y2
- c)X3Y4
- d)X4Y3
Correct answer is option 'A'. Can you explain this answer?
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Atoms of element X form a BCC and atoms of element Y occupy 3/4th of t...
The number of tetrahedral voids form is equal to twice the number of atoms of element X. Number of atoms of Y is 3/4th the number of tetrahedral voids i.e. 3/2 times the number of atoms of X. Therefore, the ratio of numbers of atoms of X and Y are 2:3, hence X2Y3.
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Atoms of element X form a BCC and atoms of element Y occupy 3/4th of t...
Explanation:
Given,
- Atoms of element X form BCC
- Atoms of element Y occupy 3/4th of the tetrahedral voids
BCC (Body-Centered Cubic) lattice has 2 atoms per unit cell and 1 at the center of the cube.
Tetrahedral voids are formed by connecting the midpoints of 4 corner atoms of a tetrahedron.
Therefore, in 1 unit cell of BCC, the number of tetrahedral voids = 2.
Let the formula of the compound be XaYb.
Number of atoms of X in 1 unit cell = a
Number of atoms of Y in 1 unit cell = b * 3/4
In BCC, the coordination number of X atoms is 8 and that of Y atoms in the tetrahedral voids is 4.
Therefore, the number of tetrahedral voids occupied by Y atoms = (a * 8) / 4 = 2a
Given that Y atoms occupy 3/4th of the tetrahedral voids, we can write:
2a * 3/4 = b * 3/4
=> a = b * 1.5
Substituting this value of a in terms of b in the formula XaYb, we get:
X(Y1.5)2
Simplifying this, we get:
X3Y2
Therefore, the correct answer is option (b) X3Y2.
Given,
- Atoms of element X form BCC
- Atoms of element Y occupy 3/4th of the tetrahedral voids
BCC (Body-Centered Cubic) lattice has 2 atoms per unit cell and 1 at the center of the cube.
Tetrahedral voids are formed by connecting the midpoints of 4 corner atoms of a tetrahedron.
Therefore, in 1 unit cell of BCC, the number of tetrahedral voids = 2.
Let the formula of the compound be XaYb.
Number of atoms of X in 1 unit cell = a
Number of atoms of Y in 1 unit cell = b * 3/4
In BCC, the coordination number of X atoms is 8 and that of Y atoms in the tetrahedral voids is 4.
Therefore, the number of tetrahedral voids occupied by Y atoms = (a * 8) / 4 = 2a
Given that Y atoms occupy 3/4th of the tetrahedral voids, we can write:
2a * 3/4 = b * 3/4
=> a = b * 1.5
Substituting this value of a in terms of b in the formula XaYb, we get:
X(Y1.5)2
Simplifying this, we get:
X3Y2
Therefore, the correct answer is option (b) X3Y2.
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Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. Can you explain this answer?
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Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. 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 Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. 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 Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. Can you explain this answer?.
Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. 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 Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. 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 Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. Can you explain this answer?.
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Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Atoms of element X form a BCC and atoms of element Y occupy 3/4th of the tetrahedral voids. What is the formula of the compound?a)X2Y3b)X3Y2c)X3Y4d)X4Y3Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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