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JEE Advanced2025ChemistryChemical KineticsActual

Consider a reaction A+R Product. The rate of this reaction is measured to be k[A][R] . At the start of the reaction, the concentration of R,[R]₀ , is 10 -times the concentration of A,[A]₀ . The reaction can be considered to be a pseudo first order reaction with assumption that k[R]=k^ is constant. Due to this assumption, the relative error (in %) in the rate when this reaction is 40 % complete, is _______ [ k and k^

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Step-by-step solution

aligned & A + R Product & t =0 ~A ₀ 10 ~A ₀ & t = t 0.6 ~A ₀ 9.6 ~A ₀ & Rate = k [ A ][ R ] & Rate ₁= k (0.6 ~A ₀ ) 9.6 ~A ₀ & ~A + R Product & t =0 ~A ₀ 10 ~A ₀( excess ) & t = t 0.6 ~A ₀ 10 ~A ₀ & Rate = k ^ [ A ], k ^ = k [ R ] & Rate ₂= ( k 10 ~A ₀ ) (0.6 ~A ₀ ) & 100 Rate Rate ₁ = (0.6 10-0.6 9.6 0.6 9.6 100=4.1666 aligned

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