For the reaction $A_2 + B_2 \rightleftarrows 2AB$,the activation energy for the forward and backward reactions are $180 \ kJ \ mol^{-1}$ and $200 \ kJ \ mol^{-1}$,respectively. If a catalyst lowers the activation energy of both forward and backward reactions by $100 \ kJ \ mol^{-1}$,what will be the enthalpy change $(\Delta H)$ for the reaction $A_2 + B_2 \rightarrow 2AB$ in the presence of the catalyst?

  • A
    $-300 \ kJ \ mol^{-1}$
  • B
    $-120 \ kJ \ mol^{-1}$
  • C
    $-280 \ kJ \ mol^{-1}$
  • D
    $-20 \ kJ \ mol^{-1}$

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