(r)-2-butanol reacts with phosphorus tribromide to give a (c4h9br). treatment of a with sodium cyanide in dmf gives b (c5h9)n. b is optically active. draw the structure of b.

The reaction described above is a series of sn2 substitutions. The initial (R)-2-butanol reacts with PBr₃ in pyridine to turn the alcohol functionality into a leaving group as it attaches to the phosphorus of PBr₃. One of the bromides from PBr₃ eventually displaces the oxygen atom with an sn2 substitution. Therefore, the product will have an inversion of stereochemistry as (S)-2-bromobutane is formed.

This product is treated with NaCN and CN⁻ is a very good nucleophile. The bromo-substitutent is a good leaving group, therefore, the nucleophile will do an sn2 substitution which inverts the stereochemistry once more to give the optically active product shown.

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