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NEETChemistryChemical Kinetics

For a reaction between reactants X and Y, it is observed that doubling the concentration of X while keeping the concentration of Y constant increases the reaction rate by a factor of 8. Furthermore, halving the concentration of Y while keeping the concentration of X constant reduces the reaction rate to half of its initial value. The overall order of the reaction is

Options

  1. A2
  2. B3
  3. C5
  4. D4

Correct answer

D. 4

Step-by-step solution

Let the rate law be Rate = k[ X ]^m[ Y ]^n . When the concentration of X is doubled, the rate increases by a factor of 8: 2^m = 8 m = 3 When the concentration of Y is halved, the rate is halved: ( 1 2 )^n = 1 2 n = 1 The overall order of the reaction is the sum of the partial orders: Overall order = m + n = 3 + 1 = 4 . Answer: 4

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