Enter your answer in the provided box. The boat form and the chair form of cyclo

Question

Enter your answer in the provided box. The boat form and the chair form of cyclohexane (C6H12) interconvert as shown here: In this representation, the H atoms are omitted, and a C atom is assumed to be at each intersection of two lines (bonds). The conversion is first-order in each direction. The activation energy for the chair-to-boat conversion is 41 kJ/mol. If the frequency factor is 1.0 x 10^12 s^-1, what is k 1 at 298 K? The equilibrium constant Kc for the reaction is 9.83 X 10^3 at 298 K. x 10 s^-1 Enter your answer in scientific notation.

Explanation / Answer

From the Arrhenius equation:

k -1 = (1.02 x 1012s-1) e^ [-41 kJ/mol / {(0.0083145 kJ/K mol)(298 K)}] = 6.64x 104 s-1

k1 = Kck-1 = (9.83 x 103) (6.64 x 104s-1) = 6.5 x 108s-1

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