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GATE 2023 ES – Question 32

Environmental Microbiology · Microbial Metabolism · 1 mark · Numerical answer

Glucose respiration has respiratory quotient1. Find the quotient for complete oxidation of fatty acid $C_{51}H_{98}O_6$,to two decimals.

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Correct answer: 0.65 to 0.75

Explanation

Complete oxidation is $C_{51}H_{98}O_6+72.5O_2\to51CO_2+49H_2O$. Carbon fixes51 CO₂ and hydrogen fixes49 H₂O; products contain151 oxygen atoms, of which6 come from fuel, requiring145/2=72.5 O₂. Thus $RQ=51/72.5=.703448$,rounded **.70**.

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