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An element has body centered cubic structure with a cell edge of 3.0 A. The density of the metal is 2 amu/Å3. Atoms present in 243 × 1024 amu of the element are ______ × 1024. -

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Question

An element has body centered cubic structure with a cell edge of 3.0 A. The density of the metal is 2 amu/Å3. Atoms present in 243 × 1024 amu of the element are ______ × 1024.

Options

  • 7.00

  • 2.00

  • 5.00

  • 9.00

MCQ
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Solution

An element has body centered cubic structure with a cell edge of 3.0 A. The density of the metal is 2 amu/Å3. Atoms present in 243 × 1024 amu of the element are 9.00 × 1024.

Explanation:

No. of atoms in unit cell = 2

Mass of unit cell = 2 × 33 = 54

∴ atomic weight = `54/2` = 27

∴ No. of. atoms = `(243 xx 10^24)/27` 9.00 × 1024

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