Rate and mechanism

Exercise 1

The reaction (r) $2ICl(g)+H_2(g)$ $\longrightarrow$ $ I_2(g)$ $+$ $2HCl(g)$ proceeds by two elementary steps: (a) $ICl(g)+H_2(g)$ $\longrightarrow$ $ HCl(g)$ $+$ $HI(g)$ (slow) (b) $HI(g)+ICl(g)$ $\longrightarrow$ $ HCl(g)$ $+$ $I_2(g)$ (fast)

Determine the form of the rate law of (r)!

As (a) is slow, we have: $v_r$ $=$ $v_a$ $=$ $k[ICl][H_2]$