Answer:
The dimerization of butadiene to 4-vinylcyclohexene folows second order kinetics and its rate law will be given by :
[tex]R=k[C_4H_6]^2[/tex]
Explanation:
[tex]2C_4H_6\rightarrow C_8H_{12}[/tex]
The rate of the reaction ;
[tex]R=k[C_4H_6]^x[/tex]
As given in the question , that graph of time verses [tex]\frac{1}{[C_4H_6]}[/tex] was linear but plots of [tex][C_4H_6][/tex] or [tex]\ln[C_4H_6][/tex] was curved.
Generally:
Graph of time verses [tex][concentration][/tex] for zero order reaction is linear with negative slope.
Graph of time verses [tex]\ln [concentration][/tex] for secon order reaction is linear with negative slope.
Graph of time verses [tex]\frac{1}{[concentration]}[/tex] for secon order reaction is linear with positive slope.
So, the dimerization of butadiene to 4-vinylcyclohexene folows second order kinetics and its rate law will be given by :
[tex]R=k[C_4H_6]^2[/tex]
