Experiment shows that the rate of formation of carbon tetrachloride from chloroform,
CHCI₃(g) + Cl₂(g) rightarrow CCI₄(g) + HCl(g)

is first order in CHCl₃, 1/2 order in Cl₂, and 3/2 order overall. Show that the following mechanism is consistent with the rate law:

1. Cl₂(g) 2Cl(g) [fast]
2. Cl(g) + CHCl₃(g) rightarrow HCl(g) + CCl₃(g) [slow]
3. CCl₃(g) + Cl(g) rightarrow CCl₄(g) [fast]