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A particle under reaction control reaches 87.5 per cent conversion. What fraction of the original radius does the core retain?

  • A.one quarter
  • B.seven eighths
  • C.one half
  • D.one eighth

Answer: C

The unreacted fraction is one eighth by volume, and the cube root of an eighth is a half. This relation between volume conversion and core radius is the heart of the shrinking core model. Volume goes with the cube of radius.

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