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A clean lake with a constant volume of 107 m3 is fed by a pollution-free stream...

A clean lake with a constant volume of 107 m3 is fed by a pollution-free stream with flow rate of 50 m3/s.
A factory dumps 5.0 m3/s of waste with a pollutant concentration of 100 mg/L into the lake. The pollutant
has a first-order reaction rate coefficient (decay) of 0.25 d-1. Assuming the pollutant is well-mixed in the
lake. How long does it take the lake to reach the steady-state concentration? You may assume that if
concentration is approximately 99% of the steady-state concentration, the system is considered to
reach steady-state.

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