Step 1: Understanding the Concept:
Chirality describes molecules that cannot be placed on top of their mirror image. The substitution mechanisms \(S_N1\) and \(S_N2\) affect the configuration of a chiral carbon in different ways.
Step 2: Check statement (A).
In \(S_N1\), a planar carbocation forms first. The nucleophile attacks from either face with equal chance, so a 1:1 mixture of enantiomers forms. So (A) is TRUE.
Step 3: Check statement (B).
A racemic mixture holds equal amounts of both enantiomers. Their optical rotations cancel, so net rotation is zero. So (B) is TRUE.
Step 4: Check statement (C).
Enantiomers are mirror images that are NON-superimposable. Superimposable mirror images belong to an achiral molecule. So (C) is FALSE.
Step 5: Check statement (D).
In \(S_N2\) the nucleophile attacks from the back side, so the configuration at the carbon is inverted (Walden inversion). So (D) is TRUE.
Final Answer:
The false statement is (C).
\[ \boxed{\text{(C)}} \]