A substance \( \mathrm{X} \) in presence of \( \mathrm{OH}^{-} \)reacts by two different mechani...

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A substance \( \mathrm{X} \) in presence of \( \mathrm{OH}^{-} \)reacts by two different mechanisms to give two different isomeric products as shown
If rate law is given as \( \frac{-\mathrm{d}[\mathrm{X}]}{\mathrm{dt}}=\mathrm{k}_{1}[\mathrm{X}]\left[\mathrm{OH}^{-}\right]+\mathrm{k}_{2}[\mathrm{X}] \) and \( \Delta \mathrm{H}_{\text {reaction-I }}=-40 \mathrm{~kJ} \) and \( \Delta \mathrm{H}_{\text {reaction-II }}=28 \mathrm{~kJ} \). then calculate \( \left[\Delta \mathrm{H}^{-}\right] \)when 1 mole of \( \mathrm{X} \) completely reacts [in \( \left.\mathrm{kJ}\right] \) if \( \left[\mathrm{OH}^{-}\right] \)is maintained at \( 0.1 \mathrm{M} \).
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