This problem asks you to model a stream as a 1-D plug-flow reactor
a. Write a mass balance equation for a stream under steady-state conditions with a firstorder decay rate. Assume an ideal, 1-D plug-flow reactor.
b. Solve your equation to develop an expression for the concentration as a function of the concentration at x = 0, the rate constant k, distance x, and the mean velocity u.
c. Assume the rate constant for decay is 1.2 d-1, the mean stream velocity is 0.035 m/s, and the initial concentration is 50 μg/L at x = 0, and create a figure showing the concentration as a function of distance downstream from the source.
d. Determine the concentration at x = 1 km.

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