Two second order reactions given below having identical frequency factors : (i) \( A \longrighta...

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Two second order reactions given below having identical frequency factors :
(i) \( A \longrightarrow \) Product
(ii) \( B \longrightarrow \) Product
The \( E_{a} \) for first reaction is \( 10.46 \mathrm{~kJ} / \mathrm{mol}^{-1} \) more than that of B. At \( 100^{\circ} \mathrm{C} \), the reaction (i) is \( 30 \% \) completed after 60 minute when initial concentration of \( A \) is \( 0.1 \mathrm{~mol} \mathrm{dm}^{-3} \). How long will it take for reaction (ii) to reach \( 70 \% \) completion at the same temperature if initial concentration of \( B \) is \( 0.05 \mathrm{~mol} \) litre \( ^{-1} ? \)
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