The uncatalyzed decomposition of substance X has an activation energy of 75 kJ mol

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Problem

The uncatalyzed decomposition of substance X has an activation energy of 75 kJ mol−1^{-1}. A catalyst lowers the activation energy to 40 kJ mol−1^{-1}. Assuming the pre-exponential factor is the same for both pathways, by what factor is the rate constant increased at 298 K? (Use R=8.314 J mol−1K−1R = 8.314\,\text{J mol}^{-1}\text{K}^{-1}.) (a) 1.0×1071.0\times10^{7} (b) 1.01.0 (c) 1.3×1061.3\times10^{6} (d) 4.7×1034.7\times10^{3}

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