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The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
- a)228 pm
- b)398 pm
- c)144 pm
- d)618 pm
Correct answer is option 'C'. Can you explain this answer?
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The edge length of face centred unit cubic cell is 508 pm. If the radi...
To find the radius of the anion, we can use the concept of the face-centered unit cubic cell and the given information about the cation's radius.
Given:
- Edge length of the face-centered unit cubic cell = 508 pm
- Radius of the cation = 110 pm
We need to determine the radius of the anion.
Formula:
In a face-centered unit cubic cell, the cations are located at the corners of the cube, and the anions are located at the center of each face.
1. Calculate the diagonal of the face-centered unit cubic cell:
Using the Pythagorean theorem, we can find the diagonal of the cube using the edge length.
- Diagonal of the cube = √(3 * (edge length)^2)
- Diagonal of the cube = √(3 * (508 pm)^2) = √(3 * 258064 pm^2) = √774192 pm = 878.21 pm
2. Calculate the distance between the cation and the center of the face:
The distance between the cation and the center of the face is half the diagonal of the cube.
- Distance between cation and center of the face = Diagonal of the cube / 2 = 878.21 pm / 2 = 439.105 pm
3. Calculate the radius of the anion:
The radius of the anion is the difference between the distance between the cation and the center of the face and the radius of the cation.
- Radius of the anion = Distance between cation and center of the face - Radius of the cation = 439.105 pm - 110 pm = 329.105 pm
Therefore, the radius of the anion is 329.105 pm, which is approximately 329 pm. None of the given options match this value. Thus, the correct answer may not be option 'C'.
Given:
- Edge length of the face-centered unit cubic cell = 508 pm
- Radius of the cation = 110 pm
We need to determine the radius of the anion.
Formula:
In a face-centered unit cubic cell, the cations are located at the corners of the cube, and the anions are located at the center of each face.
1. Calculate the diagonal of the face-centered unit cubic cell:
Using the Pythagorean theorem, we can find the diagonal of the cube using the edge length.
- Diagonal of the cube = √(3 * (edge length)^2)
- Diagonal of the cube = √(3 * (508 pm)^2) = √(3 * 258064 pm^2) = √774192 pm = 878.21 pm
2. Calculate the distance between the cation and the center of the face:
The distance between the cation and the center of the face is half the diagonal of the cube.
- Distance between cation and center of the face = Diagonal of the cube / 2 = 878.21 pm / 2 = 439.105 pm
3. Calculate the radius of the anion:
The radius of the anion is the difference between the distance between the cation and the center of the face and the radius of the cation.
- Radius of the anion = Distance between cation and center of the face - Radius of the cation = 439.105 pm - 110 pm = 329.105 pm
Therefore, the radius of the anion is 329.105 pm, which is approximately 329 pm. None of the given options match this value. Thus, the correct answer may not be option 'C'.
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The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion isa)228 pmb)398 pmc)144 pmd)618 pmCorrect answer is option 'C'. Can you explain this answer?
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The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion isa)228 pmb)398 pmc)144 pmd)618 pmCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion isa)228 pmb)398 pmc)144 pmd)618 pmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion isa)228 pmb)398 pmc)144 pmd)618 pmCorrect answer is option 'C'. Can you explain this answer?.
The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion isa)228 pmb)398 pmc)144 pmd)618 pmCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion isa)228 pmb)398 pmc)144 pmd)618 pmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion isa)228 pmb)398 pmc)144 pmd)618 pmCorrect answer is option 'C'. Can you explain this answer?.
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