Question

$2(C_{51}H_{98}O_{6}) + 145\,O_{2} \longrightarrow 102\,CO_{2} + 98\,H_{2}O + \text{energy}$ The Respiratory Quotient (RQ) of a biomolecule used for respiration, as per the above equation, would be :

• A. 1
• B. Less than 0.7
• C. Between 0.5 and 0.95
• D. Between 1.25 and 2

Hint:

Remember the standard RQ values: Carbohydrates = 1.0, Proteins $\approx$ 0.9, and Fats = 0.7.

Answer 1

The Correct Option is B

Step 1: Understanding the Question
The question asks for the Respiratory Quotient (RQ) value based on the chemical equation provided. The equation represents the aerobic oxidation of tripalmitin, which is a type of fat. Step 2: Key Formula or Approach
The Respiratory Quotient (RQ) is the ratio of the volume of $CO_2$ produced to the volume of $O_2$ consumed. \[ \text{RQ} = \frac{\text{Volume of } CO_2 \text{ evolved}}{\text{Volume of } O_2 \text{ consumed}} \] Step 3: Detailed Explanation
Analyzing the Balanced Equation: From the provided equation, we can see: - Moles of $CO_2$ evolved = 102 - Moles of $O_2$ consumed = 145
Calculating the Value: \[ \text{RQ} = \frac{102}{145} \approx 0.7 \]
Classifying the Biomolecule: Since the RQ is less than 1.0, it indicates that the substance being oxidized is a fat or a fatty acid. Carbohydrates have an RQ of 1.0, whereas fats are around 0.7.
Matching the Options: The value 0.7 falls comfortably in the range between 0.5 and 0.95.
Step 4: Final Answer
The calculated RQ for the molecule is approximately 0.7. Therefore, the answer falls within the range given in option (A).