Final answer:
The false statement about reduction reactions is that an electron acceptor becomes more positively charged (A). In fact, an electron acceptor becomes less positively charged when it gains an electron.
Step-by-step explanation:
The question provided relates to reduction reactions and their characteristics within redox (reduction-oxidation) processes. To identify the false statement among the options given, we must utilize the understanding that reduction involves the gain of electrons or hydrogen atoms, and is always coupled with an oxidation reaction, which is the loss of electrons. Thus, a correct statement would indicate that an electron acceptor becomes less positively charged upon gaining an electron, and not more positively charged as stated in option A.
Statement A is FALSE because an electron acceptor, upon gaining an electron during a reduction reaction, actually becomes less positively charged (or more negatively charged) as it now has more electrons. All other options correctly describe features of reduction reactions: they are indeed coupled with oxidation reactions in redox processes (B), a molecule can gain a hydrogen atom (C), an electron acceptor gains an electron (D), and they frequently involve electron carrier molecules like NAD+, NADP+, and FAD (E).