Methane is a by-product of a number of natural processes (such as digestion of cellulose
Chapter 22, Problem 22.37(choose chapter or problem)
Methane is a by-product of a number of natural processes (such as digestion of cellulose in ruminant animals, anaerobic decomposition of organic waste matter) and industrial processes (such as food production and fossil fuel use). Reaction with the hydroxyl radical \(\mathrm{OH}\) is the main path by which \(\mathrm{CH}_4\) is removed from the lower atmosphere. T. Gierczak, R.K. Talukdar, S.C. Herndon, G.L. Vaghjiani, and A.R. Ravishankara (J. Phys. Chem. A 101, 3125 (1997)) measured the rate constants for the elementary bimolecular gas-phase reaction of methane with the hydroxyl radical over a range of temperatures of importance to atmospheric chemistry. Deduce the Arrhenius parameters A and \(E_{\mathrm{a}}\) from the following measurements:
\(\begin{array}{llllllll}T / \mathrm{K} & 295 & 223 & 218 & 213 & 206 & 200 & 195 \\ k /\left(10^6 \mathrm{dm}^3 \mathrm{~mol}^{-1} \mathrm{~s}^{-1}\right) & 3.55 & 0.494 & 0.452 & 0.379 & 0.295 & 0.241 & 0.217\end{array}\)
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