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Question no. 7989

In a mixed flow reactor carrying out the reaction A → 3R, the conversion is 50% when gaseous reactant ‘A’ enters at 1 litre/second and leaves at 2 litres/second. The holding time for this process is _______________ seconds?

Select your answer for: In a mixed flow reactor carrying out the reaction A → 3R, the conversion is 50% when gaseous reactant ‘A’ enters at 1 litre/second and leaves at 2 litres/second. The holding time for this process is _______________ seconds?
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Answer: A. 0.5

Explanation

Holding time in a mixed flow reactor equals the reactor volume divided by the exit volumetric flow rate for variable density systems. Stoichiometric expansion for the reaction A to 3R doubles the volumetric flow rate from inlet to outlet. Dividing the system parameters correctly yields a holding time value of 0.5 seconds. Holding time represents the average duration fluid elements remain inside a continuous stirred tank reactor. Gas-phase reactions involving changes in total moles experience significant volumetric expansion during conversion. Mixed flow reactors assume complete and instantaneous blending of fluid contents throughout the vessel.

Calculating holding times correctly ensures that continuous reactors possess sufficient volume for complete reactions. Volumetric expansion must be accounted for in gas phase reactor design to avoid underestimating required sizes. Chemical engineers rely on accurate residence time metrics when designing safe high-pressure gas reactors. Option B suggesting 1 second ignores the doubling of volumetric flow rate caused by gas stoichiometry. Option C proposing 2 seconds miscalculates the volumetric expansion ratio of the reacting gas mixture. Option D predicting 3 seconds fails to apply proper reactor sizing and flow rate equations.

Subject
Engineering
Topic
—
Difficulty
medium

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