One kilogram of a contaminant, denoted as M, is spilled at a point ina 4m deep reservoir, denoted as L, and is instantaneously mixed over the entire depth.

a. If the diffusion coefficients in the N-S (Dy) and E-W (Dx) directions are 5 m^2/s and 10 m^2/s, respectively, calculate the concentration as a function of time at locations 100m north and 100m east of the spill; that is, find an expression for C(t) at location point (x, y)=(100m, 100m).

b. What is the concentration at the spill location after 5 minutes?

See explanations for step by step procedure to get answer.

Explanation:

Given that:

One kilogram of a contaminant, denoted as M, is spilled at a point ina 4m deep reservoir, denoted as L, and is instantaneously mixed over the entire depth.

a. If the diffusion coefficients in the N-S (Dy) and E-W (Dx) directions are 5 m^2/s and 10 m^2/s, respectively, calculate the concentration as a function of time at locations 100m north and 100m east of the spill; that is, find an expression for C(t) at location point (x,y)=(100m, 100m).

b. What is the concentration at the spill location after 5 minutes.

See attachment for complete answer.