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The Pilling-Bedworth ratio is defined as the ratio of

  • A.Volume of oxide to volume of metal
  • B.Weight of oxide to weight of metal
  • C.Density of oxide to density of metal
  • D.Surface area of oxide to surface area of metal

Answer: A

The Pilling-Bedworth ratio is the ratio of volume of oxide to volume of metal.

It compares the volume of the oxide formed with the volume of the metal consumed to form it:

\[ \text{PBR} = \frac{M_{ox}\,\rho_{m}}{n\,M_{m}\,\rho_{ox}} \]

where n is the number of metal atoms per oxide formula unit. A ratio below 1 (as for magnesium) gives a porous, non-protective oxide; between about 1 and 2 (as for aluminium) a dense protective film; and well above 2 an oxide that cracks and spalls.

The formula contains densities and masses, which may tempt one towards the weight or density options, but the quantity defined is a volume ratio.

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