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GK QUESTION#3163

For a sample of a monatomic element, which expression gives the number of atoms in terms of the sample mass, molar mass and Avogadro constant?

  1. A(Given mass / Molar mass) × Avogadro constantCorrect answer
  2. B(Avogadro constant / Given mass) × Molar mass
  3. C(Molar mass / Given mass) × Avogadro constant
  4. D(Given mass / Avogadro constant) × Molar mass
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Answer

A. (Given mass / Molar mass) × Avogadro constant

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Explanation

For a sample of a monatomic element, n = m/M and N = nNₐ. Hence the number of atoms is (given mass/molar mass)×Avogadro constant. The mass units used for m and M must be consistent; a molecular sample would require a further atomicity factor to count individual atoms.

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