The problem: we are dumping contaminated water into a lake. what will be the concentration of this contaminant in the lake as a consequence? you'll track the mass flux to determine this. if you're tracking a mass flux (assume an implicit area), and you know a contaminant concentration, what else will you need to track? dimensional analysis will you here. this question is purposefully unstructured; i just want you to think about the big picture storage equation here, and dimensional analysis when you don't know the "right" equation a) what is your "reservoir" for this problem? what is the "stock" you are going to track? what are the fluxes associated with that stock? write out all terms with units (hint: how do you get from mass flux to concentration? ) for all pieces you decide on, and assume at implicit area equal to 1 for this problem. |3 pts b) make a sketch of the problem situation, labeling the components completely (not just "in" and "out") define the variables as seems appropriate to the problem. 1 pt c) write the budget equation for this lake assuming steady state conditions (where the fluxes in and out of the contaminant and the water are equal, and there is no net change in the stock of the contaminant in the lake) based on all of the terms in a) as drawn in b). 2 pts] d) given this equation, solve the equation for the lake concentration assuming a perfectly well-mixed lake. how does the lake concentration change with increases of outflow volumes and concentrations? 2 pts] e) real-world implications: what are the limitations of this equation in real-world applications, particularly the steady state assumption? 12 pts