Question at position 13 For an unknown macronutrient, approximately 14 molecules of oxygen are required for oxidation and 10 molecules of carbon dioxide are produced. The RQ of this molecule is:0.930.830.711.00单项选择题
A
0.93
B
0.83
C
0.71
D
1.00

Question

Question at position 13 For an unknown macronutrient, approximately 14 molecules of oxygen are required for oxidation and 10 molecules of carbon dioxide are produced. The RQ of this molecule is:0.930.830.711.00单项选择题

A

0.93

B

0.83

C

0.71

D

1.00

BlackTom AI · Accepted Answer

Respiratory quotient (RQ) equals CO2 produced divided by O2 consumed, so RQ = 10/14 = 0.714 ≈ 0.71.

1) Relevant knowledge points and concepts
- RQ is defined as VCO2/VO2 (moles or volumes of CO2 produced per O2 consumed) and is used to characterize which macronutrient is being oxidized.
- Typical RQ values: carbohydrate ≈ 1.00, protein ≈ 0.80–0.85, fat ≈ 0.70–0.75. Exact stoichiometry for particular molecules yields specific RQ.

2) Step-by-step reasoning process
- Given: O2 required = 14 molecules (VO2 = 14), CO2 produced = 10 molecules (VCO2 = 10).
- Apply definition: RQ = VCO2 / VO2.

3) Intermediate calculation steps
- RQ = 10 / 14
- Simplify fraction: 10/14 = 5/7
- Decimal: 5 ÷ 7 = 0.7142857...
- Round to two decimal places: 0.71

4) Why the correct answer is correct
- The computed RQ from the provided stoichiometry is 0.714, which when rounded to two decimal places matches 0.71. This value also falls in the typical range for fat oxidation, consistent with a macronutrient that requires relatively more O2 per CO2 produced.

5) Why the other options are incorrect
- 1.00 would require equal CO2 and O2 (e.g., carbohydrate oxidation), but here CO2 (10) < O2 (14), so RQ < 1.00.
- 0.93 would correspond to CO2/O2 ≈ 0.93 (e.g., 14 CO2 for 15 O2 or 13.95/15), which does not match 10/14.
- 0.83 corresponds to 5/6 (≈0.833) or similar stoichiometries (e.g., protein-like), but 10/14 simplifies to 5/7, not 5/6, so it is not correct.

6) Conclusion
- The calculated RQ is 10/14 = 0.714 ≈ 0.71, confirming the provided correct answer: 0.71.

Question at position 13 For an unknown macronutrient, approximately 14 molecules of oxygen are required for oxidation and 10 molecules of carbon dioxide are produced. The RQ of this molecule is:0.930.830.711.00单项选择题

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