The hydrolysis of butyl bromide follows the stoichiometry below: The progress of
ID: 1028665 • Letter: T
Question
The hydrolysis of butyl bromide follows the stoichiometry below: The progress of the reaction is followed by titrating an aliquot of the reaction mixture with standard silver nitrate solution. In a typical experiment, the volumes of AgNOs required to precipitate all the Br in 1.00 mL aliquots of the reaction mixtu ure are given in the table below. Time /sax: AgNO3 mL 0 100 200 300 400 500600 700 800 900 10001100 1200 1300 0.00 0.931.73 2.42 3.013.523.96 4.33 4.66 4.945.18 5.39 5.565.72 Time 1400 1500 1600 1700 1800 1900 20002100 2200 2300 2400 2500 2600 AgNOs5 mL 5.85 5.96 6.066.15 6.22 6.28 6.336.386.42 6.46 6.496.56.53 Using the Guggenheim method' demonstrate that this reaction is first order with respect to [C4HoBr]. Provide a value for the reaction rate constant, its units and the reaction half-lifeExplanation / Answer
The given reaction depends only the C4H9Br concentation. Therefore this reaction is first order with respect to C4H9Br.
Rate expression for first order
k = 2.303/t x log (v/vt)
here v is initial volume
vt is volume at time 't'
k = 2.303/100 x log (1/0.93)
= 0.023 x log(1.1)
= 0.023 x 0.0413
k = 9.499 x 10-4 sec-1
Unit for first order reaction is sec-1
Half life for first order reaction is t1/2 = 0.693/k
= 0.693 / 9.499 x10-4 sec-1
t1/2 = 729.5 seconds
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