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The DS Company used methyl salicylate in its wintergreen flavoured chewing gum. Quality control is done on the methyl salicylate by FTIR spectroscopy. Methyl salicylate has two close resonances at 1618 cm-1 and 1680 cm-1.

(a) What is the minimum distance that the moving mirror in the FTIR instrument must transit to resolve these two resonances?

(b) What is the minimum sampling rate required at this resolution for a scan from 700 to 4000 cm-1?

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