Question #44628

An alkyl halide $X$ ($C_5H_{11}Br$) is subjected to dehydrohalogenation under two different sets of conditions:

Reaction 1: $X \xrightarrow{NaOEt / EtOH, \ 350 \text{ K}}$ $P$ (Major) Reaction 2: $X \xrightarrow{KOtBu / t-BuOH, \ 350 \text{ K}}$ $Q$ (Major)

Reductive ozonolysis of $P$ yields a mixture of two carbonyl compounds; one gives both a positive Tollens' test and a positive iodoform test, while the other gives a negative Tollens' test. Reductive ozonolysis of $Q$ yields two carbonyl compounds, one of which is a gas at $298 \text{ K}$ and the other gives a positive iodoform test.

What is the absolute difference in the number of hyperconjugative $\alpha$-hydrogens between the major products $P$ and $Q$?