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Q.Identify the order of the reaction from the rate constant K = 2.3 × 10⁻⁶ L mol⁻¹ s⁻¹.

Karnataka PUCKarnataka II PUC Board 2020Subjective· 1mImportance★★★★★
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The unit of KK is mol−1L s−1\text{mol}^{-1}\text{L s}^{-1}, which matches a second-order rate constant, so the reaction is second order.

Concept. For a reaction of order nn, the rate law is Rate=K[A]n\text{Rate} = K[A]^n. Since rate has units mol L−1s−1\text{mol L}^{-1}\text{s}^{-1}, the units of KK are

units of K=mol L−1s−1(mol L−1)n=mol1−n Ln−1 s−1\text{units of } K = \frac{\text{mol L}^{-1}\text{s}^{-1}}{(\text{mol L}^{-1})^{n}} = \text{mol}^{1-n}\,\text{L}^{n-1}\,\text{s}^{-1}

Why second order. For n=2n = 2:

units of K=mol−1 L1 s−1=L mol−1s−1\text{units of } K = \text{mol}^{-1}\,\text{L}^{1}\,\text{s}^{-1} = \text{L mol}^{-1}\text{s}^{-1} …

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