CHAPTER 4  >  ACTIVITIES  >  PROBLEMS  >  PROBLEM 7
Flows in different environments: Toluene in water, air, and soil
Water, soil, and air are in contact. 1.0 µmole of toluene is mixed in with 5.0 liters of water. The volume of air is 50 liters. The amount of soil is assumed to be unknown initially.
Assume that soil and air do not interact in this system.
The first two graphs show equilibtium concentrations for toluene for water and air in contact (left) and water and soil in contact (right).
The molar mass of toluene is 92.1 g/mole.

a. Create a linear fit for the equilibrium concentrations for toluene in water and air and determine the equilibrium constant.
b. In the graph showing the equilibrium values for toluene for water and soil in contact a best fit power law is presented (y = a·x^b). Determine the coefficients of this relation.
c. There is a total of 1.0 µmole of toluene in the system. Use the data of the dynamical experiment to find the amount of soil present in the system (according to experimental data, this should be 1.0 kg).
d. Determine the rates of change of amounts of substance of toluene in the three environments at t = 0 s. Use this to determine all the currents of toluene between the components of the system (water, air, soil).
e. What is the transport factor for the transport of toluene from water to air?
f. What is the transport factor for the transport of toluene from water to soil?
g. Sketch the diagram of a system dynamics model for the system.

Equilibrium relations for toluene

Click to obtain pdf for printing


Dynamics of toluene

Click to obtain pdf for printing