For the system \( \mathrm{A}(\mathrm{g}) \rightleftharpoons \mathrm...

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For the system \( \mathrm{A}(\mathrm{g}) \rightleftharpoons \mathrm{B}(\mathrm{g}), \Delta \mathrm{H} \) for the forward reaction is \( -3000 \mathrm{R} \) (Note : \( \Delta \mathrm{H}=\Delta \mathrm{E} \) in this case). Show that equilibrium constant \( \mathrm{K}=\frac{[\mathrm{B}]}{[\mathrm{A}]}=\mathrm{e}^{10} \) at \( 300 \mathrm{~K} \). If the activation energies \( \mathrm{E}_{\mathrm{f}} \& \mathrm{E}_{\mathrm{b}} \) are in the P ratio \( 12: 17 \), calculate \( \mathrm{E}_{\mathrm{f}} \) and \( \mathrm{E}_{\mathrm{b}} \) at this temperature. Assume that the pre-exponential factor is the same
\( \mathrm{W} \) for the forward and backward reactions.
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