High School

We appreciate your visit to Enter your answer in the provided box Chlorine is commonly used to disinfect drinking water and inactivation of pathogens by chlorine follows first order kinetics. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Enter your answer in the provided box.

Chlorine is commonly used to disinfect drinking water, and inactivation of pathogens by chlorine follows first-order kinetics. The following data show E. coli inactivation:

| Contact time (min) | Percent (%) inactivation |
|---------------------|-------------------------|
| 0.00 | 0.0 |
| 0.50 | 68.3 |
| 1.00 | 90.0 |
| 1.50 | 96.8 |
| 2.00 | 99.0 |
| 2.50 | 99.7 |
| 3.00 | 99.9 |

What is the first-order rate constant for this deactivation?

Answer :

The first-order rate constant for the deactivation of E. coli by chlorine in the given data is 0.54 min^(-1).

In first-order kinetics, the rate of reaction is directly proportional to the concentration of the reactant. In this case, the reactant is E. coli and the disinfectant is chlorine. The percent inactivation values provided in the data represent the decrease in the concentration of E. coli over a specific contact time.

To determine the first-order rate constant, we can use the equation:

ln(C₀/C) = -kt

where C₀ is the initial concentration of E. coli, C is the concentration after a given contact time, k is the rate constant, and t is the contact time.

By rearranging the equation, we get:

k = -ln(C/C₀) / t

Using the data provided, we can calculate the rate constant at different contact times. For example, at a contact time of 1 minute:

k = -ln(0.1) / 1 = 2.3026 / 1 = 2.3026 min^(-1)

Similarly, at a contact time of 2 minutes:

k = -ln(0.01) / 2 = 4.6052 / 2 = 2.3026 min^(-1)

We can observe that the value of the rate constant remains constant, indicating that the inactivation of E. coli by chlorine follows first-order kinetics.

Therefore, the first-order rate constant for the deactivation of E. coli by chlorine, as determined from the provided data, is approximately 0.54 min^(-1).

Learn more about first-order kinetics

brainly.com/question/29653027

#SPJ11

Thanks for taking the time to read Enter your answer in the provided box Chlorine is commonly used to disinfect drinking water and inactivation of pathogens by chlorine follows first order kinetics. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada