Match List I (Rate law expressions) with List II (Units of rate constant k ) : List I List II A Rate = k[A]^ 1/2 [B]^ 1/2 1 mol L ⁻¹ s ⁻¹ B Rate = k[A]²[B]⁰ 2 s ⁻¹ C Rate = k[A]^ 3/2 [B]^ 3/2 3 L mol ⁻¹ s ⁻¹ D Rate = k[A]⁰ 4 L ² mol ⁻² s ⁻¹ Choose the correct answer from the options given below :

Step-by-step solution

The unit of rate constant k for an n -th order reaction is given by ( mol L ⁻¹)^ 1-n s ⁻¹ . For A: Rate = k[A]^ 1/2 [B]^ 1/2 Overall order n = 1 2 + 1 2 = 1 Unit of k = ( mol L ⁻¹)¹⁻¹ s ⁻¹ = s ⁻¹ (Matches with 2) For B: Rate = k[A]²[B]⁰ Overall order n = 2 + 0 = 2 Unit of k = ( mol L ⁻¹)¹⁻² s ⁻¹ = L mol ⁻¹ s ⁻¹ (Matches with 3) For C: Rate = k[A]^ 3/2 [B]^ 3/2 Overall order n = 3 2 + 3 2 = 3 Unit of k = ( mol L ⁻¹)¹⁻³ s ⁻¹ = L ² mol ⁻² s ⁻¹ (Matches with 4) For D: Rate = k[A]⁰ Overall order n = 0 Unit of k = ( mol