$t_{100\%}$ is the time required for the $100\%$ completion of the reaction, while $t_{1/2}$ is the time required for $50\%$ of the reaction to be completed. Which of the following options correctly represents the relation between $t_{100\%}$ and $t_{1/2}$ for zero and first-order reactions, respectively?

  • A
    $t_{100\%} = (t_{1/2})^2$ and $t_{100\%} = (t_{1/2})^{-\infty}$
  • B
    $t_{100\%} = 2t_{1/2}$ and $t_{100\%} = \infty$
  • C
    $t_{100\%} = 2t_{1/2}$ and $t_{100\%} = (2t_{1/2})^2$
  • D
    $t_{100\%} = \infty$ and $t_{100\%} = 2t_{1/2}$

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