Proton-alpha: "One time I lived in an environment where next door lived identical twins, Proton-beta-1 and Proton-beta-2. Boy, did they wreck havoc on my signal when I got zapped and had a spin flip - THEY SPLIT MY SIGNAL!!!" C) What is the multiplicity of Proton-alpha's signal in this scenario when there are 2 identical protons "next door"? D) For molecules containing only single bonds (we'll discuss the influence of double bonds in a future lecture), what is the adjective that describes the position of protons that split a "next door neighbor's" signal? E) How many bonds connect these "splitting next door neighbors"? Proton-alpha: "I got them back because while they were splitting my signal, I split theirs!" F) What is the multiplicity of the Proton-betas' signal?

Explanation:

C) What is the multiplicity of Proton-alpha's signal in this scenario when there are 2 identical protons "next door"?

Based on n+1 rule. Here n=2 (identical beta protons).

2+1=3

So the multiplicity of alpha proton is triplet, .

D) For molecules containing only single bonds (we'll discuss the influence of double bonds in a future lecture), what is the adjective that describes the position of protons that split a "next door neighbor's" signal?

    The meaning of the adjective is this: the multiplicity of beta protons is singlet only (no spliting) in absence of alpha proton . But beta protons splits as doublet (n=1) in the presence of alpha proton,

E) How many bonds connect these "splitting next door neighbors"?

There are 3 bonds in between alpha and beta protons in a molecule.

F) What is the multiplicity of the Proton-betas' signal?

Following the  n+1 rule, here n=1 (1 alpha proton) so 1+1=2. Hence it is  a doublet.

d.) the average kinetic energy of the gas particles is greater in container b because its particles move faster.