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Question

The initial rate of a reaction is 2.0 × 10⁻³ mol L^{-1 s^{-1 when [A] = 0.5 M and [B] = 0.2 M. If the rate law is Rate = k[A][B], what is k in L mol^{-1 s^{-1 ?

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Explanation

Given: The initial rate of a reaction is 2.0 × 10⁻³ mol L^{-1 s^{-1 when [A] = 0.5 M and [B] = 0.2 M. If the rate law is Rate = k[A][B], what is k in L mol^{-1 s^{-1 ? These values define the system as per NCERT data. Formula: k = fracRate[A][B] = frac2.0 × 10⁻³⁰.5 × 0.2 = 0.02 .. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: Substituting values like 1.2 × 10⁻⁵, 236 J kg⁻¹ K⁻¹, CH₃CH₂NH₂ etc. into the formula and simplifying step by step. Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

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