Imagine that a reaction similar to that in Problem 5.76 is carried out between sodium acetylide and ( $R$ )-2-phenylpropanal to yield 4-phenyl-1-pentyn-3-ol:
(a) Is the product chiral?
(b) Draw both major and minor reaction products, assuming that the reaction takes place preferentially from the Re face of the carbonyl group. Is the product mixture optically active? Explain.