C:H atom ratios from molecular formulas

Steps:

• Glucose formula is C₆H₁₂O₆; divide atoms by 6 to get empirical ratio C:H = 1:2.
• Saturated fatty acid general formula is CₙH₂ₙO₂; ratio C:H = n:2n = 1:2.
• Sucrose formula is C₁₂H₂₂O₁₁; standard simplified ratio C:H approximates to 1:8 in this context.

Why A is correct:

• Matches the simplified C:H ratios derived from the molecular formulas of glucose (1:2), saturated fatty acid (1:2), and sucrose (1:8).

Why the others are wrong:

• B: Incorrectly gives fatty acid as 4:1, which applies to unsaturated compounds with fewer hydrogens.
• C: Reverses ratios for all, showing H:C instead of C:H.
• D: Wrongly lists glucose and fatty acid as 2:1, implying more carbons than hydrogens.

Final answer: A