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Rate of reaction x + y product is 5.4 10⁻² ~mol dm ⁻³ sec ⁻¹ . When [ x ]=0.2 ~mol dm ⁻³ and [ y ]=0.1 ~mol dm ⁻³ , calculate rate constant of reaction if it is first order in X and second order in Y

Options

  1. A18 ~mol ⁻² dm ^6 sec ⁻¹
  2. B27 ~mol ⁻² dm ^6 sec ⁻¹
  3. C32 ~mol ⁻² dm ^6 sec ⁻¹
  4. D12 ~mol ⁻² dm ^6 sec ⁻¹

Correct answer

B. 27 ~mol ⁻² dm ^6 sec ⁻¹

Step-by-step solution

aligned & r =- d ( x ) dt =- d ( y ) dt & r =5.4 10⁻² mol dm ^3- sec & r = k [ x ] [ y ]^2 & 5.4 10⁻²= K (0.2)(0.1)^2 & ~K =27 ~mol ⁻² dm ^6 sec ⁻¹ aligned

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