Solved: A gas mixture containing CH3 fragments, C2H6

Chapter 13, Problem 132P

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A gas mixture containing \(\mathrm{CH}_{3}\) fragments, \(C_{2} H_{6}\) molecules, and an inert gas (He) was prepared at 600 K with a total pressure of 5.42 atm. The elementary reaction

\(\mathrm{CH}_{3}+\mathrm{C}_{2} \mathrm{H}_{6} \rightarrow \mathrm{CH}_{4}+\mathrm{C}_{2} \mathrm{H}_{5}\)

has a second-order rate constant of \(3.0 \times 10^{4}\ / \mathrm{M} \cdot \mathrm{s}\). Given that the mole fractions of \(\mathrm{CH}_{3}\) and \(C_{2} H_{6}\) are 0.00093 and 0.00077, respectively, calculate the initial rate of the reaction at this temperature.

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