Indicate whether each of the following statements is true or false. If false, explain why.
(a) In every case, pair of enantiomers have a mirror- image relationship.
(b) If a compound has an enantiomer, it must be chiral.
(c) If a compound has a diastereomer, it must be chiral.
(d) Any molecule containing a stereocenter must be chiral.
(e) Some diastereomers have a mirror-image relationship.
(f) Any chiral compound with a single asymmetric carbon must have a positive optical rotation if the compound has the R configuration.
(g) All chiral molecules have no plane of symmetry.