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KVPY2019ChemistrySome Basic Concepts of Chemistry

The number of moles of water present in a spherical water droplet of radius 1 . 0   cm is, [Given : Density of water in the droplet = 10   g   cm - 3 ]

Options

  1. Aπ 18
  2. B2 π 27
  3. C24 π
  4. D2 π 9

Correct answer

B. 2 π 27

Step-by-step solution

Number of moles, n = mass ( m )  molar mass  ( M ) Given, radius = 1 . 0   cm ∴ volume = 4 π 3   cm 3 Given, density = 1 . 0   g   cm - 3 , ∴ Mass = volume × density = 4 π 3   g (Atomic weight of water = 18 ) ∴    n = 4 π 3 × 18 = 2 π 27

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