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Chemical Kinetics

Question
CBSEENCH12011373

In a first order reaction A →B, if k israte constant and initial concentration of the reactant A is 0.5 A M then the half -life is : 

  • 0.693/0.5 k

  • log2/k

  • log space 2 space divided by space straight k square root of 0.5 end root
  • ln2 / k

Solution

D.

ln2 / k

For first order reaction.
straight k space equals space fraction numerator 2.303 over denominator straight t end fraction space log space fraction numerator straight a over denominator left parenthesis straight a minus straight x right parenthesis end fraction
straight t subscript 1 divided by 2 end subscript space equals space fraction numerator 2.303 over denominator straight k end fraction space log space fraction numerator straight a over denominator straight a minus begin display style straight a over 2 end style end fraction
space equals space fraction numerator 2.303 over denominator straight k end fraction space log space 2
equals space fraction numerator ln space 2 over denominator straight k end fraction