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Assertion (A): A constant half life independent of starting concentration indicates a first order reaction.
Reason (R): Only for first order does the integrated rate law give a half life free of any concentration term.

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

Answer: B

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

Both are true and the reason gives the proof. For first order \( t_{1/2} = \ln 2/k \), with no concentration in it, so every halving takes the same time whatever the starting point. For any other order the half life carries \( C_0 \) - rising with concentration for zero order and falling for second - which is exactly what makes the constancy diagnostic.

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