A mixture contains $27.3 g$ of sorbitol, $HOCH X_{2} - (CHOH) X_{4} - CH X_{2} OH$ (molar mass $182 g mo l^{- 1}$ ), and $4.6 g$ of glycerol (molar mass $92 g mo l^{- 1}$ ). Assuming every vicinal C-C bond is cleaved once and no other oxidation occurs, how many moles of $HIO X_{4}$ are consumed in total? Give the answer to two decimal places.

Numerical answer type, answer in mol, tolerance 0.02.

Answer: 0.85 mol

Sorbitol has six carbons and five C-C bonds, all between carbinol carbons, so it uses 5 mol HIO4 per mole. Glycerol uses 2 mol per mole. Moles of sorbitol are

27.3/182 = 0.15

and of glycerol

4.6/92 = 0.05

. Total HIO4 =

0.15 \times 5 + 0.05 \times 2 = 0.85 mol

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Answer: 0.85 mol

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