Butadiene reacts to form a dimer according to the equation 2C₄H₆(g) →C₈H₁₂(g) The reaction obeys the second order rate law, Rate = k[C₄H₆]², with a rate constant k = 3.68 M⁻¹min⁻¹ at a certain temperature. Starting with an initial concentration of [C₄H₆] = 0.0500 M, what will be the butadiene concentration after 45.0 min?

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter11: Chemical Kinetics: Rates Of Reactions
Section11.7: Reaction Mechanisms
Problem 11.12E
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Butadiene reacts to form a dimer according to the equation

2C₄H₆(g) →C₈H₁₂(g)

The reaction obeys the second order rate law, Rate = k[C₄H₆]², with a rate constant k = 3.68 M⁻¹min⁻¹ at a certain temperature. Starting with an initial concentration of [C₄H₆] = 0.0500 M, what will be the butadiene concentration after 45.0 min?

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Step 1

Butadiene reacts to form a dimer according to the equation

2C₄H₆(g) →C₈H₁₂(g)

The reaction obeys the second-order rate law and the rate constant k = 3.68 M⁻¹min⁻¹. 

The initial concentration of [C₄H₆] = 0.0500 M

Time of reaction is = 45.0 s

Concentration after 45.0 s is =?

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