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10. The difference in activation energy for the uncatalyzed and catalyzed decomposition of hydrogen peroxide is...

10. The difference in activation energy for the uncatalyzed and catalyzed decomposition of hydrogen peroxide is 68.0x103 J / mol. At 298 K and assuming z and p (catalyzed) = z and p (uncatalyzed), what is the ratio kcatalyzed / kuncatalyzed?

(a) 8.83x1011    (b) 8.35x1012    (c) 0.83x109    (d) 8.3x1011    (e) 18.3x1011

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Answer #1

we have relation K = A exp ( -Ea/RT)

Hence Kcatalysed / Kuncatalysed = A exp ( - Ea catalysed / RT) / A exp ( - Ea uncatalysed/RT)

                           = exp ( Ea uncatalysed- Ea uncatalysed) / RT

                  = exp ( 68 x 10^3 J/mol / 8.314 J/molK x 298 K)

                =    exp ( 27.446 )

                = 8.3 x 10^11

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