Unit 5 · Kinetics
Lesson 46 of 91

5.9 Steady-State Approximation

01Substituting intermediates

When a fast reversible step precedes the slow step, assume it reaches equilibrium: k_f[A][B] = k_r[I]. Solve for [I] and substitute.

This produces rate laws with orders that look strange but match experiment.

02Notebook box

[I] = (k_f/k_r)[A][B] → plug into slow step.

Worked example: Fast 2NO ⇌ N₂O₂; slow N₂O₂ + O₂ → 2NO₂ → rate = k[NO]²[O₂].

Key takeaways
  • ✦Fast equilibrium first.
  • ✦Solve for the intermediate.
  • ✦Substitute into slow step.
Quick check

Did it stick?

1.Fast A ⇌ I, slow I + B → P. Rate law?

2.The approximation assumes the intermediate's concentration is…

3.Rate law in the NO example is order ___ overall.