and are the solute concentration in the gas phase at the soil surface [M/L3] and that of Cg C* the atmosphere [M/L3] which is above a (stagnant) boundary layer of thickness [L], l respectively. Also, and indicate the dispersion coefficient in the mobile phase Dl, M0, δ(t) (corresponding to the sum of the last two terms in Eq. (A.3)), initial solute mass applied in unit area, and Dirac-delta function, respectively. Taking the Laplace transform of the governing equations, initial condition, and boundary conditions results in: for a total mass balance, (A.9) , (A.10) , (A.11) , (A.12) , (A.13) , (A.14) . (A.15)
Cg and C* are the solute concentration in the gas phase at the soil surface [M/L3] and that of the atmosphere [M/L3] which is above a (stagnant) boundary layer of thickness l [L], respectively. Also, Dl, M0, and δ(t) indicate the dispersion coefficient in the mobile phase (corresponding to the sum of the last two terms in Eq. (A.3)), initial solute mass applied in unit area, and Dirac-delta function, respectively. Taking the Laplace transform of the governing equations, initial condition, and boundary conditions results in: for a total mass balance, (A.9) , (A.10) , (A.11) , (A.12) , (A.13) , (A.14) . (A.15)
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