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NEET2012ChemistryChemical KineticsActual

For a reaction, r=k ( CH ₃ COCH ₃ )^ 3 / 2 then unit of rate of reaction and rate constant respectively is

Options

  1. Amol L ⁻¹ ~s ⁻¹, ~mol ^ -1 / 2 ~L ^ 1 / 2 ~s ⁻¹
  2. Bmol ⁻¹ ~L ⁻¹ ~s ⁻¹, ~mol ^ -1 / 2 ~L ^ -1 / 2 ~s ⁻¹
  3. Cmol L ⁻¹ ~s ⁻¹, ~mol ^ +1 / 2 ~L ^ 1 / 2 ~s ⁻¹
  4. Dmol L s , mol ^ +1 / 2 ~L ^ 1 / 2 ~s

Correct answer

A. mol L ⁻¹ ~s ⁻¹, ~mol ^ -1 / 2 ~L ^ 1 / 2 ~s ⁻¹

Step-by-step solution

aligned : Rate & = concentration time = mol L ⁻¹ ~s = & mol L ⁻¹ ~s ⁻¹ aligned aligned : Rate & = concentration time = mol L ⁻¹ ~s & = mol L ⁻¹ ~s ⁻¹ aligned The units of rate constant for the reaction of the n^ th order = ( mol L ⁻¹ )^ 1-n ~s ⁻¹ here, = 3 2 Unit of rate constant = ( mol L ⁻¹ )^ 1-3 / 2 ~s ⁻¹= ( mol L ⁻¹ )^ -1 / 2 ~s ⁻¹= mol ^ -1 / 2 ~L ^ 1 / 2 ~s ⁻¹

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