Discussion
Assertion (A): A mixture of particle sizes cannot be treated as a single mean size.
Reason (R): The conversion time relation is non-linear in the particle radius.
Answer: C
Correct answer: Both A and R are true, and R is the correct explanation of A
Both are true and the reason gives the cause. Because the conversion time depends non-linearly on radius, the average conversion of a mixture is not the conversion of the average particle - the small particles finish long before the large ones and then contribute nothing further, while the large ones dominate the time to reach high overall conversion. A size distribution must therefore be integrated over rather than replaced by a mean.
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