Conservative, non-toxic, and inexpensive chemicals are sometimes used in the study of water bodies such as lakes to measure flow characteristics. These are commonly referred to as tracer tests, since the chemical will trace or track the flows in the system. In a lake under study, the inflow stream has been manipulated such that the tracer concentration nearly instantaneously increased from 0 mg/L to 5.25 mg/L and held there during the test period. Samples of lake water are periodically analyzed for the tracer. a. Explain how the data obtained could support a non-steady state analysis of the tracer addition to the lake. b. If the addition of tracer to the inflow stream is performed continuously for a very long time, what tracer concentration is ultimately expected in the lake (in mg/L)? Show your result using a mass balance analysis and explain why your result is sensible. c. If the tracer concentration in the lake is 2.22 mg/L after 2.50 days, what is the HRT of the lake (in days)? You may solve this problem by mass balance or use an equation from the text, notes, or equation sheet. If you use an equation from one of these sources, explain where you found it and why it applies to this problem. Conservative, non-toxic, and inexpensive chemicals are sometimes used in the study of water bodies such as lakes to measure flow characteristics. These are commonly referred to as tracer tests, since the chemical will trace or track the flows in the system. In a lake under study, the inflow stream has been manipulated such that the tracer concentration nearly instantaneously increased from 0 mg/L to 5.25 mg/L and held there during the test period. Samples of lake water are periodically analyzed for the tracer. a. Explain how the data obtained could support a non-steady state analysis of the tracer addition to the lake. b. If the addition of tracer to the inflow stream is performed continuously for a very long time, what tracer concentration is ultimately expected in the lake (in mg/L)? Show your result using a mass balance analysis and explain why your result is sensible. c. If the tracer concentration in the lake is 2.22 mg/L after 2.50 days, what is the HRT of the lake (in days)? You may solve this problem by mass balance or use an equation from the text, notes, or equation sheet. If you use an equation from one of these sources, explain where you found it and why it applies to this