$t_{100\%}$ 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 $t_{100\%} = 2t_{1/2}$