During production, transport, and use of natural gas (primarily methane), some inevitably leaks into the atmosphere where it acts as a greenhouse gas. The principal removal mechanism for methane is via reaction with hydroxyl radical (page 90 of the text). Assuming the second-order rate constant for the reaction is k=8.31015cm3molec1s1, the methane concentration is 1.239 ppmv (similar to the concentration given in Table 8.3), and the hydroxyl radical concentration is 1.2106moleccm3 (a reasonable estimate for a clean atmosphere), calculate a pseudo-first-order rate constant for the reaction. Use the pseudo-first-order rate constant to calculate the first-order half-life for methane in the atmosphere. Report the half-life to three decimal places in units of minutes. Do not include units in your answer. Assume 25C and 1.00atm pressure for unit conversion