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Q.Assertion (A): Order and molecularity of a reaction are always same. Reason (R): Complex reactions involve a sequence of elementary reactions and the slowest step is rate determining. (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A). (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A). (C) Assertion (A) is true, but Reason (R) is false. (D) Assertion (A) is false, but Reason (R) is true.

CBSECBSE Class XII Board 2023MCQ· 1mImportance★★★★★
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Order and molecularity are not always the same — they coincide only for elementary reactions. Complex reactions follow the rate-determining step, making the assertion false while the reason is true. The answer is (D).

The heart of this question lies in understanding two fundamental kinetic parameters: order and molecularity, and recognizing when they align and when they diverge.

Molecularity is a theoretical concept that counts the number of reactant molecules (or atoms, ions) that must collide simultaneously in a single elementary step. It's always a small whole number (1, 2, or rarely 3) because the probability of more than three particles colliding at once is vanishingly small. Molecularity is defined only for elementary reactions.

Order is an experimental quantity — the sum of the powers of concentration terms in the rate law. It can be fractional, zero, or even negative, and is determined from actual kinetic data.

For an elementary reaction, the rate law can be written directly from the stoichiometry, so order equals molecularity. For example, the elementary step 2 NO+OX2→2 NOX2\ce{2NO + O2 -> 2NO2} has molecularity 3 and is third-order overall.

But here's where it gets interesting: most reactions we encounter are complex (multi-step). The overall rate law is governed by the slowest step — the rate-determining step (RDS). The order of the overall reaction reflects the RDS and any pre-equilibrium steps, not the overall stoichiometry.

Let's examine the assertion and reason:

Assertion (A): "Order and molecularity of a reaction are always same."

This is false. Consider the decomposition of hydrogen peroxide catalyzed by iodide:

2 HX2OX2→2 HX2O+OX2\ce{2H2O2 -> 2H2O + O2}

The mechanism involves:

  • Step 1 (slow): HX2OX2+IX−→HX2O+IOX−\ce{H2O2 + I^- -> H2O + IO^-} (molecularity = 2)
  • Step 2 (fast): HX2OX2+IOX−→HX2O+OX2+IX−\ce{H2O2 + IO^- -> H2O + O2 + I^-}

The rate law is rate=k[HX2OX2][IX−]\text{rate} = k[\ce{H2O2}][\ce{I^-}], giving order = 2. The RDS has molecularity 2, so they match here. But the overall reaction has stoichiometric coefficient 2 for HX2OX2\ce{H2O2}, yet molecularity isn't defined for the overall process — only for elementary steps.

A clearer counter-example: the reaction 2 NOX2+FX2→2 NOX2F\ce{2NO2 + F2 -> 2NO2F} proceeds via:

  • NOX2+FX2→NOX2F+F\ce{NO2 + F2 -> NO2F + F} (slow)
  • NOX2+F→NOX2F\ce{NO2 + F -> NO2F} (fast)

The rate law is rate=k[NOX2][FX2]\text{rate} = k[\ce{NO2}][\ce{F2}] (order = 2), but the overall stoichiometry suggests molecularity would be 3 if it were elementary — which it isn't. …

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