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The significance of weight average \(\overline{\text{M}}\text{w}\) and number average \(\overline{\text{M}}\text{n}\) molecular weights is that :

  • A.\(\overline{\text{M}}\text{w}\) is sensitive to low molecular weight species
  • B.\(\overline{\text{M}}\text{n}\) is sensitive to high molecular weight species
  • C.\(\overline{\text{M}}\text{w}\) is sensitive to high molecular weight and \(\overline{\text{M}}\text{n}\) is sensitive to low molecular weight
  • D.\(\overline{\text{M}}\text{n}/\overline{\text{M}}\text{w}\) gives information of polydispersivity

Answer: C

The significance is that M̄w is sensitive to high molecular weight and M̄n to low molecular weight species.

The number average, M̄n = ΣNiMi/ΣNi, counts every molecule equally, so a large number of small molecules pulls it down. The weight average, M̄w = ΣNiMi2/ΣNiMi, weights each molecule by its mass, so a few very large molecules raise it markedly.

The first two options state the sensitivities the wrong way round. The polydispersity index is M̄w/M̄n (always 1 or more), not M̄n/M̄w as the last option writes it.

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