For an uncatalyzed reaction at

CHEMISTRY · Single correct · A Level · Chemistry · Kinetics · Kinetics

Problem

For an uncatalyzed reaction at 298 K298\,\text{K}, the activation energy is 120 kJ mol−1120\,\text{kJ}\,\text{mol}^{-1}. A catalyst provides an alternative pathway with an activation energy that is 40 kJ mol−140\,\text{kJ}\,\text{mol}^{-1} lower. Assuming the pre-exponential factor remains the same, which of the following is the best estimate for the ratio kcatkuncat\dfrac{k_{\text{cat}}}{k_{\text{uncat}}} at 298 K298\,\text{K}? (Take R=8.314 J mol−1 K−1R = 8.314\,\text{J}\,\text{mol}^{-1}\,\text{K}^{-1}.) (a) About 101010^{10} (b) About 10410^{4} (c) About 10710^{7} (d) About 10210^{2}

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