Cyclopentadiene (C5H6) reacts with itself to form

Chapter 6, Problem 109AE

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Cyclopentadiene \(\left(\mathrm{C}_{5} \mathrm{H}_{6}\right)\) reacts with itself to form dicyclopentadiene \(\left(\mathrm{C}_{10} \mathrm{H}_{12}\right)\). A 0.0400 M solution of \(\mathrm{C}_{5} \mathrm{H}_{6}\) was monitored as a function of time as the reaction \(2 \ \mathrm{C}_{5} \mathrm{H}_{6} \longrightarrow \mathrm{C}_{10} \mathrm{H}_{12}\) proceeded. The following data were collected:

                

Plot \(\left[\mathrm{C}_{5} \mathrm{H}_{6}\right]\) versus time, \(\ln \left[\mathrm{C}_{5} \mathrm{H}_{6}\right]\) versus time, and \(1 /\left[\mathrm{C}_{5} \mathrm{H}_{6}\right]\) versus time. What is the order of the reaction? What is the value of the rate constant?

Equation Transcription:

(C5H6)

(C10H12)

C5H6

2 C5H6⟶C10H12

[C5H6]

ln [C5H6]

1/[C5H6]

Text Transcription:

(C_5H_6)

(C_10H_12)

C_5H_6

2 C_5H_6 right arrow C_10H_12

[C_5H_6]

ln ⁡[C_5H_6]

1/[C_5H_6]