Estimate the maximum horizontal distance over which the benzene is transported i

Question

Estimate the maximum horizontal distance over which the benzene is transported in 10 years. Assume that the benzene transport is only affected by retardation (hint: choose an appropriate relation between kow and koc from table 13.1)
Answer = 21.1 m Please show work
Image displays table 13.1 mass is fully able to to lllllll d pb u A d (1- n) p, H t n d A(H n d) the exchange takes A a standard surface area over order of of the active top sediment layer (usually in the place, d the between 1 and 5 mm) L H-the water depth [L]. Table 13.1 Relationships between K and K (K and K in l kg 1) (source: Lymann et al, 1990) Regression equation Class of organic compounds Aromatics, polynuclear aromatics, triazines, and dinitroaniline log Koc 0.937 log Kow 0.006 herbicides Mostly aromatic or polynuclear aromatics; two chlorinated log Koc 1.00 log Kow-021 Triazines and dinitroaniline herbicides log Koe 0.94 log Kow+ 0.02 Variety of pesticides log koo, 1.029 log kom -0.18 Wide variety of organic compounds, mainly pesticides Note: units of K and Ko are in kg og Ko 0.544 log k +1.377

Explanation / Answer

log Kow = 2.13

from the table log Koc = 0.937 log Kow – 0.006

therefore, log Koc =(0.937)(2.13) – 0.006

                        Koc = 100 ml water/g organic carbon (approx..)

To estimate the value of Kd:

Kd = (0.008 g carbon/ g soil)(100 ml water/g organic carbon) = 0.8 ml water/g soil

To find the retardation factor:

R = 1+ (0.8 ml /g). (1.8 g/cm3)/ 0.3 =5.8

local horizontal groundwater flow velocity(v)= 1200 cm/sec

How fast the plume of benzene would travel is v/R = 2.069 m/sec

the maximum horizontal distance over which the benzene is transported in 10 years

distance = (2.069)(1314) = 2718.66

In meters, = 27.18 m

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