Answer:
rate = [NO]²[O2]
Explanation:
The rate law for the reaction:
2 NO(g) + O2(g) → 2 NO2(g)
Is expressed in terms of reactants as follows:
rate = [NO]ⁿ[O2]ˣ
Where n and x are the coefficients of the rate law.
If [NO] is doubled, the rate increased 4 times. That is only possible if:
rate = [NO]²[O2]ˣ
Now, as [NO] is doubled and increased the rate 4 times, and [NO] + [O2] when doubled increased the rate 8 times, doubled [O2] implies increased the rate 2 times. That is only possible is:
rate = [NO]²[O2]
