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Question

The initial rate of a reaction is 1.8 × 10⁻³mol L^{-1 s^{-1 when [A] = 0.2 M and [B] = 0.3 M. If the rate law is Rate = k[A]²[B], what is k in L² mol^{-2 s^{-1 ?

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Explanation

Given: The initial rate of a reaction is 1.8 × 10⁻³mol L^{-1 s^{-1 when [A] = 0.2 M and [B] = 0.3 M. If the rate law is Rate = k[A]²[B], what is k in L² mol^{-2 s^{-1 ? Formula: k = fracRate[A]²[B] = frac1.8 × 10⁻³(0.2)² × 0.3 = frac1.8 × 10⁻³⁰.012 = 0.15 .. Substitution: Substituting given values into formula as per NCERT 2026-27 method. Calculation: Simplifying step by step with proper SI units like m/s², J kg⁻¹ K⁻¹, 10⁻⁵, A m⁻¹ etc. Final Result: The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.

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