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Q.The role of a catalyst is to change : (A) equilibrium constant (B) enthalpy of reaction (C) Gibbs energy of reaction (D) activation energy of reaction

CBSECBSE Class XII Board 2025MCQ· 1mImportance★★★★★
✓ Free question

A catalyst provides an alternative reaction pathway with lower activation energy, speeding up both forward and reverse reactions equally without altering thermodynamic properties. The answer is (D).

Why catalysts work: the energy barrier concept

Every chemical reaction requires reactant molecules to climb an energy hill before they can transform into products. This hill—the activation energy EaE_a—represents the minimum energy needed to break old bonds and form new ones. Think of it as a mountain pass: molecules must reach the summit before they can descend into the product valley.

A catalyst doesn't push molecules harder or change where they start and end. Instead, it carves a tunnel through the mountain—a new reaction pathway with a lower summit. More molecules now have enough thermal energy to cross, so the reaction speeds up dramatically.

Crucially, the catalyst lowers the barrier in both directions by the same amount. The thermodynamic landscape—the relative energies of reactants and products—remains untouched.

What a catalyst does NOT change

Before examining what changes, let's eliminate what stays constant:

  1. Equilibrium constant KK

    The equilibrium constant depends only on the standard Gibbs energy change: ΔG∘=−RTln⁡K\Delta G^\circ = -RT \ln K. Since a catalyst doesn't alter the stability difference between reactants and products, KK remains unchanged. The system reaches equilibrium faster, but the final composition is identical.

  2. Enthalpy of reaction ΔH\Delta H

    This is the heat absorbed or released, determined by the difference in bond energies between products and reactants. A catalyst doesn't strengthen or weaken these bonds—it merely provides an alternative route between them.

  3. Gibbs energy of reaction ΔG\Delta G

    The spontaneity and equilibrium position depend on ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S, both state functions. The catalyst affects how fast the system reaches its natural destination, not where that destination lies.

Watch out

A common misconception is that catalysts "shift equilibrium." They don't. Both forward and reverse rates increase proportionally, so the ratio kf/kr=Kk_f/k_r = K stays constant.

What a catalyst DOES change

  1. Activation energy EaE_a This is the catalyst's sole thermodynamic target. By stabilizing the transition state through temporary bond formation (in homogeneous catalysis) or by adsorbing reactants in favorable orientations (in heterogeneous catalysis), the catalyst lowers the energy barrier.

The Arrhenius equation shows why this matters:

k=Ae−Ea/RTk = A e^{-E_a/RT}

Even a modest reduction in EaE_a produces an exponential increase in the rate constant kk. A reaction that would take hours might complete in minutes.

Tip

Remember the mnemonic: catalysts are kinetic helpers, not thermodynamic changers. They affect the path (activation energy), not the destination (equilibrium, enthalpy, Gibbs energy).

The mechanism in action

Consider the decomposition of hydrogen peroxide, catalyzed by iodide ions:

  • Uncatalyzed: 2H2O2→2H2O+O22\text{H}_2\text{O}_2 \to 2\text{H}_2\text{O} + \text{O}_2 (high EaE_a, slow)
  • Catalyzed: Two-step pathway via H2O2+I−→H2O+IO−\text{H}_2\text{O}_2 + \text{I}^- \to \text{H}_2\text{O} + \text{IO}^- followed by H2O2+IO−→H2O+O2+I−\text{H}_2\text{O}_2 + \text{IO}^- \to \text{H}_2\text{O} + \text{O}_2 + \text{I}^-

Each step has a lower activation energy than the direct route. The iodide ion is regenerated, unchanged. The overall ΔH\Delta H and ΔG\Delta G are identical to the uncatalyzed reaction.

✓Final answer

The correct option is (D) — a catalyst changes the activation energy of reaction.

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