**Educational Resource on Bacterial Growth****Bacterial Growth Data**Suppose that exactly 100 bacteria are added into a flask containing nutrients for the bacteria. The data collected at 37 °C is summarized in the table below:| t (min) | Number of bacteria ||---------|--------------------|| 0.0 | 100 || 19.0 | 200 || 38.0 | 400 || 57.0 | 800 || 76.0 | 1600 |**Questions for Analysis**1. **How many bacteria will be present after 133 min?** - Number of bacteria: [Input field]2. **What is the order of the rate of production of the bacteria?** - o zero order - o first order - o second order3. **What is the rate constant for the process?** - \( k = \) [Input field] - Units: [Dropdown field]This exercise helps learners analyze bacterial growth using experimental data and evaluate the order and rate constants of the process.

Here we are provided with a table that contains time vs number of bacteria. We need to write the order of reaction, number of bacteria after 133 min and rate constant for the process. Since bacterial growth is first order reaction, The order of the reaction is first order. So the order of rate of production of bacteria is, first order. So, dN/dt = kN where N is the number of sample and k is rate constant. From the given data, it is clear that the number of bacteria increases two foldin each 19 minutes. So after 133 minutes => 133/19 = 7 This means 7 times of doubling which can be simply represented as 27. that is after 7 times of 19 minutes the time becomes 133 minutes and the number of bacterias will be 27 = 128 times of the initial. Since the initial number of bacteria is 100, The number of bacteria after 133 minutes, n = 128 × 100 = 12800 So the number of bacteria present after 133 minutes = 12800.For a first order reaction, kt = ln(N/N0) k × 19 = ln (200/100) k = ln (2)/19 k = 0.036 min-1. So the rate constant for the process is, k = 0.036 min-1

Science

Chemistry

Suppose that exactly 100 bacteria are added into a flask containing nutrients for the bacteria. The data collected at 37 °C is summarized in the table. t (min) 0.0 19.0 38.0 57.0 76.0 How many bacteria will be present after 133 min? number of bacteria: Number of bacteria 100 200 400 800 1600 k= What is the rate constant for the process? What is the order of the rate of production of the bacteria? zero order first order second order Units:

Suppose that exactly 100 bacteria are added into a flask containing nutrients for the bacteria. The data collected at 37 °C is summarized in the table. t (min) 0.0 19.0 38.0 57.0 76.0 How many bacteria will be present after 133 min? number of bacteria: Number of bacteria 100 200 400 800 1600 k= What is the rate constant for the process? What is the order of the rate of production of the bacteria? zero order first order second order Units:

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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