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GATE CE 2019 Set 1 — Question 52

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NAT+2 / -0MediumChlorinationDrinking Water TreatmentEnvironmental Engineering

Environmental Engineering → Drinking Water Treatment → Chlorination

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Question

A wastewater is to be disinfected with 35 mg/L35\text{ mg/L} of chlorine to obtain 99%99\% kill of micro-organisms. The number of micro-organisms remaining alive (NtN_t) at time tt, is modelled by Nt=N0e−ktN_t = N_0 e^{-kt}, where N0N_0 is number of micro-organisms at t=0t = 0, and kk is the rate of kill. The wastewater flow rate is 36 m3/h36\text{ m}^3/\text{h}, and k=0.23 min−1k = 0.23\text{ min}^{-1}. If the depth and width of the chlorination tank are 1.5 m1.5\text{ m} and 1.0 m1.0\text{ m}, respectively, the length of the tank (in mm, round off to 2 decimal places) is ________
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