For the reaction $A + B \longrightarrow \text{product}$,the rate law equation is $\text{rate} = k[A]^2[B]$. If the rate of reaction is $0.22 \ mol \ L^{-1} \ s^{-1}$,calculate the rate constant $k$. Given: $[A] = 1 \ mol \ L^{-1}, [B] = 0.25 \ mol \ L^{-1}$.

• A
  $0.44 \ mol^{-2} \ L^2 \ s^{-1}$
• B
  $0.88 \ mol^{-2} \ L^2 \ s^{-1}$
• C
  $1.136 \ mol^{-2} \ L^2 \ s^{-1}$
• D
  $3.52 \ mol^{-2} \ L^2 \ s^{-1}$