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A mill reduces a powder from 50 micrometres to 5 micrometres. By what factor has the specific surface area increased, assuming spherical particles?

  • A.five times
  • B.ten times
  • C.one hundred times
  • D.one thousand times

Answer: B

Surface area per unit mass varies inversely with diameter, so a tenfold reduction in size gives a tenfold increase in area. Volume and mass scale with the cube, but area per gram scales with the reciprocal of the diameter alone.

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