Indicate whether each of the following statements is true or false. If false, explain why.

(a) In some cases, constitutional isomers are chiral.

(b) In every case, a pair of enantiomers have a mirror image relationship.

(c) Mirror-image molecules are in all cases enantiomers.

(d) If a compound has an enantiomer, it must be chiral.

(e) Every chiral compound has a diastereomer.

(f) If a compound has a diastereomer, it must be chiral.

(g) Every molecule containing one or more asymmetric carbons is chiral.

(h) Any molecule containing a stereocenter must be chiral.

(i) Any molecule with a stereocenter must have a stereoisomer.

(j) Some diastereomers have a mirror-image relationship.

(k) Some chiral compounds are optically inactive.

(l) Any chiral compound with a single asymmetric carbon must have a positive optical rotation if the compound has the R configuration.

(m) A structure is chiral if it has no plane of symmetry.

(n) All chiral molecules have no plane of symmetry.

(o) All asymmetric carbons are stereocenters.