Butadiene, C4H6, dimerizes to C8H12 with a rate law rate = k[C4H6]2 where k = 0.84 L/(mol·min). What will be the concentration of C4H6 after 180 min if its initial concentration is 0.025 M?

Respuesta :

Answer : The concentration of C₄H₆ after 180 min is, 0.0052 M

Explanation :

The integrated rate law equation for second order reaction follows:

[tex]k=\frac{1}{t}\left (\frac{1}{[A]}-\frac{1}{[A]_o}\right)[/tex]

where,

k = rate constant = [tex]0.84L/(mol.min)[/tex]

t = time taken  = 180 min

[A] = concentration of substance after time 't' = ?

[tex][A]_o[/tex] = Initial concentration = 0.025 M

Now put all the given values in above equation, we get:

[tex]0.84=\frac{1}{180}\left (\frac{1}{[A]}-\frac{1}{(0.025)}\right)[/tex]

[tex][A]=0.0052M[/tex]

Hence, the concentration of C₄H₆ after 180 min is, 0.0052 M