Tertiary butyl bromide (C4H9Br) reacts with water in the following manner: C4H9Br + H2O = C4H9OH + HBr. The reaction follows the first order rate law rate = K(C4H9Br). If one begins with 1 gram of tertiary butyl bromide and K = 5.0 x 10-3 sec-1, how much tertiary butyl bromide will be left after 3 minutes? What is the half life of this reaction?

Chemistry: The Molecular Science
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Author:John W. Moore, Conrad L. Stanitski
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Chapter11: Chemical Kinetics: Rates Of Reactions
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Problem 121QRT: If you know some calculus, derive the integrated first-order rate law for the reaction by following...
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Tertiary butyl bromide (C4H9Br) reacts with water in the following manner: C4H9Br + H2O = C4H9OH + HBr. The reaction follows the first order rate law rate = K(C4H9Br). If one begins with 1 gram of tertiary butyl bromide and K = 5.0 x 10-3 sec-1, how much tertiary butyl bromide will be left after 3 minutes? What is the half life of this reaction?

Expert Solution
Step 1

Mass of tertiary butyl bromide initially = 1 g 

Time = 3 minutes 

Rate constant k = 5.0 × 10-3 s-1 

We need to find mass of reactant after 3 min. 

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