There is no evaporation, and 3.0 x 106m3 of water flows out each year.
Lakes receive water from streams each year and lose water to out flowing streams and evaporation. The following values are based on the Great Salt Lake in Utah. The lake receives 3.0 x 106m3 of water per year with salinity of 1 part per thousand (concentration 0.001). The lake contains 3.3 x 107m3 of water and starts with no salinity. Assume that the water that flows out has a concentration equal to that of the entire lake. Compute the discrete-time dynamical system by finding (a) the total salt before the inflow, (b) total water, (c) total salt and salt concentration after inflow, and (d) total water, total salt, and salt concentration after outflow or evaporation.