1.) Imagine a plume of a toxic compound ACK develops downwind of a power point smokestack. The ACK plume: advection, dis

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1.) Imagine a plume of a toxic compound ACK develops downwind of
a power point smokestack. The ACK plume: advection, dispersion, and
chemical reaction ACK + GG --> more ACK at a rate p 8= 20
degrees U = mean wind speed (m/s)
Assumptions:
Question: Starting from the equation of
mass balance, derive the differential equation that governs the
change in concentration of ACK (C, mg/m³) as a function of time and
3D space. Your answer should be in terms of C, t, x, y, z, p, K, U
and/or . You may find it helpful to clearly define and draw your
control volume. How many initial or boundary conditions would you
need to solve the problem?