Experiment shows that the rate of formation of carbon tetrachloride from chloroform,CHCl₃(g) + Cl₂(g) → CCl₄(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) → HCl (g) + CCl₃(g) [slow](3) CCl₃(g) + Cl(g) → CCl₄(g) [fast]