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Assertion (A): For a first order reaction the segregation and maximum mixedness limits give the same conversion.
Reason (R): A first order rate depends linearly on concentration, so averaging commutes with reacting.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: A

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason gives the mathematics. A first order rate is linear in concentration, so the average of the reacted concentrations equals the reaction of the averaged concentration - averaging and reacting commute. The micromixing therefore cannot matter, and the two limits coincide. For any other order the operations do not commute and the bounds separate.

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