The rate constant (k) for the reaction CH4 + OH = CH3* + H2O is 6.3×10-15 cm3 molecules-1 s-1. If the atmospheric mixing

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The rate constant (k) for the reaction CH4 + OH = CH3* + H2O is
6.3×10-15 cm3 molecules-1 s-1. If the atmospheric mixing ratio of
methane is 1.74 ppm, and the concentration of OH molecule is
6.0×105 molecules cm-3 at a pressure of 1.01×105 pascal and a
temperature of 298K.
a) Calculate the concentration of air molecules in molecules/cm3
(i.e., number density of air molecules). Answer: [2.45×10^19
molecules/cm3]
b) What is the concentration of methane in molecules/cm3 (i.e.,
number density of CH4 molecules)? Answer: [ 4.27*
10^13 molecules/cm3]
c) Calculate the lifetime of methane. Answer
: [>8 years]
d) Calculate the rate of methane destruction by reaction with
hydroxyl radicals. The concentration of OH radicals is 8.7×105
molecules/cm3. Answer: [2.34×105
molecules/cm3/s]
Please show your work