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JEE Advanced Chemistry Chemical Kinetics 2025 JEE Advanced 2025 (Paper 2)

JEE Advanced Chemistry Question (2025) — Solution

Question

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^ represent corresponding rate constants]

Options

  1. A. A
  2. B. B
  3. C. C
  4. D. D

Answer

A. A

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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Related: Chemistry — Chemical Kinetics · All PYQ Banks