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KVPY2011ChemistrySurface Chemistry

When the size of a spherical nanoparticle decreases from 30 ~nm to 10 ~nm , the ratio surface area/volume becomes

Options

  1. A1 / 3 of the original
  2. B3 times the original
  3. C1 / 9 of the original
  4. D9 times the original

Correct answer

B. 3 times the original

Step-by-step solution

Surfacearea Volume = d ² d ³ 6 = 6 ~d ~d ₁=30 ~nm ~d ₂=10 ~nm ( Surface area Volume )₂= 6 ~d ₂ 6 ~d ₁ = d ₁ ~d ₂ = 30 10 =3

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