Step 1: Understanding the Question:
The problem requires us to determine the total number of carbon atoms contained in a single molecule of the alkane named undecane using standard IUPAC numerical prefixes.
Step 2: Detailed Explanation:
In organic chemistry, the names of saturated straight-chain hydrocarbons (alkanes) are determined by specific prefixes that denote the length of their carbon skeleton based on the general molecular formula $\text{C}_n\text{H}_{2n+2}$:
• Heptane ($n = 7$)
• Octane ($n = 8$)
• Nonane ($n = 9$)
• Decane ($n = 10$)
• Undecane ($n = 11$)
• Dodecane ($n = 12$)
The prefix "un-" (one) combined with "decane" (ten) stands for eleven. Therefore, an undecane molecule features a continuous straight chain containing exactly 11 carbon atoms, giving it the molecular formula $\text{C}_{11}\text{H}_{24}$.
Step 3: Final Answer:
The total number of carbon atoms present in undecane is 11, which corresponds to option (B).