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Q.For the reaction A →\rightarrow B, the rate of reaction becomes three times when the concentration of A is increased by nine times. What is the order of reaction ?

Uttar Pradesh UpmspCBSE Class XII Board 2018Subjective· 1mImportance★★★★★
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The order comes straight from the rate law: rate ×3\times 3 for concentration ×9\times 9 gives 9n=39^n = 3, so n=12n = \tfrac{1}{2}.

Concept. For A→BA \rightarrow B, the rate depends on [A][A] as rate=k[A]n\text{rate} = k[A]^n, where nn is the order with respect to AA. This is a standard CBSE Class-12 Chemistry chemical-kinetics numerical.

Why. The order is the experimentally found exponent linking rate to concentration; we recover it by comparing two rates.

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