Target Exam

CUET

Subject

Chemistry

Chapter

Physical: Chemical Kinetics

Question:

The correct expression of the rate of the reaction according to the collision theory is

Options:

$Z_{AB} e^{-Ea/RT}$

$PZ_{AB} e^{-Ea/RT}$

$\frac{-Ea}{RT}$

$Pe^{-Ea/RT}$

Correct Answer:

$PZ_{AB} e^{-Ea/RT}$

Explanation:

The correct answer is Option (2) → $PZ_{AB} e^{-Ea/RT}$

Collision theory states that for a reaction to occur, molecules must collide with:

  • Sufficient energy (≥ activation energy)
  • Proper orientation

So rate depends on number of collisions, orientation factor, and energy factor.

Option 2: $PZ_{AB} e^{-E_a/RT}$

Complete expression of collision theory rate constant:

  • $Z_{AB}$ = collision frequency
  • $P$ = steric factor (proper orientation)
  • $e^{-E_a/RT}$ = fraction of energetic molecules

This matches Arrhenius form $k = Ae^{-E_a/RT}$, where $A = PZ$.