Chemistry Exam  >  Chemistry Questions  >  A metal crystallizes with a face-centered cub... Start Learning for Free
A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is
  • a)
    144 pm
  • b)
    204 pm
  • c)
    288 pm
  • d)
    408 pm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A metal crystallizes with a face-centered cubic lattice. The edge of t...
Given:
- Metal crystallizes with a face-centered cubic lattice
- Edge of the unit cell = 408 pm

To find: Diameter of the metal atom

Formula:

In a face-centered cubic (fcc) lattice, the atoms are arranged in a pattern of a cube with an atom at each corner and an atom in the center of each face. The edge length of the unit cell (a) is related to the radius of the atom (r) by the formula:

a = 2√2r

We can rearrange the formula to find the radius (r) in terms of the edge length (a):

r = a/2√2

We are given the edge length (a) of the unit cell, so we can use the formula above to calculate the radius (r) of the atom. Then, we can double the radius to get the diameter of the atom.

Solution:

Substituting the given values in the formula:

a = 408 pm

r = a/2√2 = (408 pm)/(2√2) = 144 pm

The radius of the atom is 144 pm. To get the diameter, we double the radius:

Diameter = 2 × radius = 2 × 144 pm = 288 pm

Therefore, the diameter of the metal atom is option (c) 288 pm.
Community Answer
A metal crystallizes with a face-centered cubic lattice. The edge of t...
Use formula for BCC

RADIUS = √3a /4
= 1.41*143.82
= 287.64 € 288pm
Explore Courses for Chemistry exam
A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer?
Question Description
A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry. Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom isa)144 pmb)204 pmc)288 pmd)408 pmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Chemistry tests.
Explore Courses for Chemistry exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev