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Na crystallizes in fcc lattice having edge length 500 pm. Mass of the Na particle is 4.151 × 10– 23g. the density of the lattice is:
  • a)
    1.33 g/cm3
  • b)
    1.5 g cm3
  • c)
    1.75 g/cm3
  • d)
    2.00 g cm3
Correct answer is option 'A'. Can you explain this answer?
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Na crystallizes in fcc lattice having edge length 500 pm. Mass of the ...
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Na crystallizes in fcc lattice having edge length 500 pm. Mass of the ...
To calculate the density of Na, we need to know its atomic mass and the volume of the unit cell of the fcc lattice. The atomic mass of Na is 22.990 g/mol. To convert this to grams per atom, we divide by Avogadro's number: 22.990 g/mol / 6.022 x 10^23 atoms/mol = 3.817 x 10^-23 g/atom The volume of the fcc unit cell can be calculated using the formula: V = a^3 / 4 where a is the edge length of the unit cell. Substituting the given value of 500 pm (or 500 x 10^-12 m) gives: V = (500 x 10^-12 m)^3 / 4 = 6.25 x 10^-29 m^3 Now we can calculate the density: density = mass / volume = 4.151 x 10^-23 g / 6.25 x 10^-29 m^3 Converting units: density = (4.151 x 10^-23 g) / (6.25 x 10^-29 m^3) x (10^3 cm/m)^3 / (1 g/cm^3) = 0.972 g/cm^3 Therefore, the density of Na in its fcc lattice is 0.972 g/cm^3.
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Na crystallizes in fcc lattice having edge length 500 pm. Mass of the Na particle is 4.151 × 10– 23g. the density of the lattice is:a)1.33 g/cm3b)1.5 g cm3c)1.75 g/cm3d)2.00 g cm3Correct answer is option 'A'. Can you explain this answer?
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Na crystallizes in fcc lattice having edge length 500 pm. Mass of the Na particle is 4.151 × 10– 23g. the density of the lattice is:a)1.33 g/cm3b)1.5 g cm3c)1.75 g/cm3d)2.00 g cm3Correct answer is option 'A'. 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 Na crystallizes in fcc lattice having edge length 500 pm. Mass of the Na particle is 4.151 × 10– 23g. the density of the lattice is:a)1.33 g/cm3b)1.5 g cm3c)1.75 g/cm3d)2.00 g cm3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Na crystallizes in fcc lattice having edge length 500 pm. Mass of the Na particle is 4.151 × 10– 23g. the density of the lattice is:a)1.33 g/cm3b)1.5 g cm3c)1.75 g/cm3d)2.00 g cm3Correct answer is option 'A'. Can you explain this answer?.
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