Verified Solution • 2025–26 Session moderate

QJEEM09Cha562: JEE Main 2009 Chemistry - Class 12 JEEM09Cha562 Solution: The half life period of a first order chemical reaction is 6.93 …

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2=0.301) :

Multiple Choice Options

  • A 230.3 minutes
  • B 23.03 minutes
  • C 46.06 minutes
  • D 460.6 minutes

Step-by-Step Verified Solution

For first order reaction

k=2.303tlog⁡100100−99k = {{2.303} \over t}\log {{100} \over {100 - 99}}

0.6936.93=2.303tlog⁡1001{{0.693} \over {6.93}} = {{2.303} \over t}\log {{100} \over 1}

0.6936.93=2.303×2t{{0.693} \over {6.93}} = {{2.303 \times 2} \over t}

⇒t=46.06min⁡\Rightarrow t = 46.06\min

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