N}t}}\)Where,K = Rate CONSTANT which depends on the type of microorganism, the type of disinfectant and temperaturen = Constant for a particular microorganism and type of disinfectantC = Disinfectant concentration (weight/volume)Nt = Number of microorganism present at any time ‘t’CALCULATION:Given, t = 8 min, n = 1 and C = 0.1 g/m3∵ We know that, \({N_t} = {N_o}{e^{ - K{C^n}t}}\)Let 'x' be the number of micro organism present initially99% KILL of micro organism implies that at time 't' 1% of micro organism are still surviving∴ Micro organism surviving at time 't' = (1/100) x∴ \(\frac{1}{{100}}x = x.{e^{ - K \times 0.1 \times 8}}\)⇒ \( - K \times 0.8 = \ln \left( {\frac{1}{{100}}} \right)\)K = 5.76 /min

"> N}t}}\)Where,K = Rate CONSTANT which depends on the type of microorganism, the type of disinfectant and temperaturen = Constant for a particular microorganism and type of disinfectantC = Disinfectant concentration (weight/volume)Nt = Number of microorganism present at any time ‘t’CALCULATION:Given, t = 8 min, n = 1 and C = 0.1 g/m3∵ We know that, \({N_t} = {N_o}{e^{ - K{C^n}t}}\)Let 'x' be the number of micro organism present initially99% KILL of micro organism implies that at time 't' 1% of micro organism are still surviving∴ Micro organism surviving at time 't' = (1/100) x∴ \(\frac{1}{{100}}x = x.{e^{ - K \times 0.1 \times 8}}\)⇒ \( - K \times 0.8 = \ln \left( {\frac{1}{{100}}} \right)\)K = 5.76 /min

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An experiment shows that a concentration of 0.1 g/m3 of free available chlorine yield a 99% kill of bacteria in 8 minutes. Calculate disinfection rate constant (1 /min)? Assume that Chick's Law and Watson's Law hold with n = 1.

Waste Water Engineering Adsorption Water Treatment in Waste Water Engineering . 6 months ago

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Concept:As per Watson and Chicks law\({N_t} = {N_o}{e^{ - K{C^N}t}}\)Where,K = Rate CONSTANT which depends on the type of microorganism, the type of disinfectant and temperaturen = Constant for a particular microorganism and type of disinfectantC = Disinfectant concentration (weight/volume)Nt = Number of microorganism present at any time ‘t’CALCULATION:Given, t = 8 min, n = 1 and C = 0.1 g/m3∵ We know that, \({N_t} = {N_o}{e^{ - K{C^n}t}}\)Let 'x' be the number of micro organism present initially99% KILL of micro organism implies that at time 't' 1% of micro organism are still surviving∴ Micro organism surviving at time 't' = (1/100) x∴ \(\frac{1}{{100}}x = x.{e^{ - K \times 0.1 \times 8}}\)⇒ \( - K \times 0.8 = \ln \left( {\frac{1}{{100}}} \right)\)K = 5.76 /min

Posted on 17 Nov 2024, this text provides information on Waste Water Engineering related to Adsorption Water Treatment in Waste Water Engineering. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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