**Question 2: Calculating the Rate Constant**The question involves determining the rate constant for a waste material sample. The details given are:- The five-day Biochemical Oxygen Demand (BOD₅) of the waste is 220 mg/L.- The ultimate Biochemical Oxygen Demand (BOD) is 320 mg/L.The task is to calculate the rate constant for this decomposition process. **Explanation for Students:**The BOD is a measure of the amount of oxygen required by microorganisms to decompose organic matter in water. The rate constant is an important parameter in water quality analysis as it helps predict how quickly organic pollutants will be broken down in a body of water. To calculate the rate constant (\(k\)), one can use the following formula: \[ L_t = L_0 (1 - e^{-kt}) \]Where: - \(L_t\) is the BOD at time \(t\).- \(L_0\) is the ultimate BOD.- \(k\) is the rate constant.- \(t\) is time, often in days for water treatment processes.By rearranging the formula and using provided values, one can solve for the rate constant \(k\).

BOD -: it refers to biological oxygen demand. It is the actual requirement or demand of microorganisms of oxygen gas for the decomposition of biodegradable organic material or matter present in a particular aquatic body.Given data -: BOD5 -: Here 5 refers to number of days that's is 5 days are available. 5 days are usually taken as refrence of standard. Now we have also given ultimate BOD i.e. 320mg/L let that be Bo -: 320 mg/L And BOD5 is given as -: 220 mg/L time for decomposition is 5 days Now applying equation to find rate constant -: BOD5 = Bo(1-e-kt) Here K is rate constant Put the required values, 220 mg/L = 320 mg/L( 1-e-k5) On solving above we get 0.6875 = 1-e-k5 0.3125 = e-k5 Taking anti log both sides -: 0.73 = k5 K = 0.146 day-1 Hence rate constant is found to be K = 0.146 day-1

Answered: 2) If the BOD; of a waste is 220 mg/l…

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2) If the BOD; of a waste is 220 mg/l and the ultimate BOD is 320 mg/1, what is the rate constant?

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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