$A$ reaction $2A + B \xrightarrow{k} C + D$ is first order with respect to $A$ and second order with respect to $B$. Initial concentration $(t = 0)$ of $A$ is $C_0$ while $B$ is $2C_0$. If at $t = 30 \min$ the concentration of $C$ is $C_0/4$,then the rate expression at $t = 30 \min$ is:

  • A
    $R = 7C_0^3K/16$
  • B
    $R = 27C_0^3K/32$
  • C
    $R = 247C_0^3K/64$
  • D
    $R = 49KC_0^3/32$

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