Question Details

2(C51H98O6) + 145O2 → 102CO2 +98H2O+energy The Respiratory Quotient (RQ) of a biomolecule used for respiration, as per the above equation, would be :

Options

A

Less than 0.5

B

Between 0.5 and 0.95

C

Between 1.25 and 2

D

1.0

Show Answer

Correct Answer :

Option B

Between 0.5 and 0.95

Between 0.5 and 0.95

Solution :

To find the Respiratory Quotient (RQ) we use the definition:

RQ = \frac{\text{moles of }CO_{2}\text{ produced}}{\text{moles of }O_{2}\text{ consumed}}

From the given balanced reaction

2 C51H98O6 + 145 O2 → 102 CO2 + 98 H2O + energy

the stoichiometric coefficients tell us directly how many moles of each gas are involved:

• O2 consumed = 145 mol
• CO2 produced = 102 mol

Plug these numbers into the RQ formula:

RQ = \frac{102}{145}

Perform the division:

RQ \approx 0.7034

The resulting value lies between 0.5 and 0.95.

Therefore the correct choice is “Between 0.5 and 0.95”.

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