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MHT CET202526 Apr 2025Evening ShiftChemistryChemical KineticsActual

A complex reaction takes place in following steps. aligned & NO ₂ Cl _ ( g ) NO _ 2( ~g ) + Cl _ ( g ) (slow) & NO ₂ Cl _ ( g ) + Cl _ ( g ) NO _ 2( ~g ) + Cl _ 2( ~g ) (fast) aligned Identify rate law equation for this reaction.

Options

  1. Ar = k [ NO ₂ Cl ]
  2. Br = k [ NO ₂ ][ Cl ]
  3. Cr = k [ NO ₂ ]^2
  4. Dr = k [ NO ₂ Cl ]^2

Correct answer

A. r = k [ NO ₂ Cl ]

Step-by-step solution

The reaction mechanism consists of two elementary steps: NO ₂ Cl _ (g) NO _ 2(g) + Cl _ (g) (slow) NO ₂ Cl _ (g) + Cl _ (g) NO _ 2(g) + Cl _ 2(g) (fast) The rate-determining step governs the overall rate law. For the slow unimolecular decomposition, the rate is proportional to the concentration of NO ₂ Cl : r = k[ NO ₂ Cl ] This matches option A.

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