A reaction is carried out at \( 400 \mathrm{~K} \). If the same reaction is carried out in prese...

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A reaction is carried out at \( 400 \mathrm{~K} \). If the same reaction is carried out in presence of a catalyst at the same rate, the temperature needed is \( 300 \mathrm{~K} \). If catalyst lowers the energy of activation by \( 2 \mathrm{~kJ} \mathrm{~mol}^{-1} \), the energy of activation of reaction without catalyst was
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