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For the first order reaction, half-life is 14 sec. The time requires for the initial concentration to reduce to 1/8th of its value is:

Correct answer: B. 42s

  • A. 28s
  • B. 42s
  • C. (14)2s
  • D. (14)3s

Explanation

For a first-order reaction, the half-life is the time it takes for the concentration to reduce to half its initial value. Given that the half-life is 14 seconds, we need to determine how many half-lives it takes to reduce the concentration to 1/8th of its initial value. Since (1/2)3 = 1/8, it takes 3 half-lives to reach this concentration. Therefore, the total time required is 3 x 14 = 42 seconds. Option B is correct. Option A incorrectly assumes only 2 half-lives are needed. Options C and D incorrectly manipulate the half-life duration.

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About Reaction Kinetics

Reaction kinetics relates reaction rate to concentration, temperature, surface area and catalysts. Questions cover rate laws, reaction order, rate constants, activation energy and the activated complex, including how a catalyst lowers the activation energy without changing the overall energy change or equilibrium position.

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