Consider the reaction $2 \ A + 2 \ B \rightarrow C + 2 \ D$. If the concentration of $A$ is doubled at constant $B$,the rate increases by a factor of $4$. If the concentration of $B$ is doubled at constant $A$,the rate is doubled. What is the rate law?

  • A
    $r = k[A]^{2}[B]^{2}$
  • B
    $r = k[A]^{4}[B]^{2}$
  • C
    $r = k[A][B]^{2}$
  • D
    $r = k[A]^{2}[B]$

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The reaction,$X + 2Y + Z \to N$ occurs by the following mechanism:
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