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MHT CET202013 Oct 2020Evening ShiftChemistryChemical KineticsActual

The half life of a first order reaction is 6.0 hour. How long will it take for the concentration of reactant to decrease from 0.4 M to 0 12 M ?

Options

  1. A30 36 ~h
  2. B10.42 ~h
  3. C4.25 ~h
  4. D9.51 ~h

Correct answer

B. 10.42 ~h

Step-by-step solution

For first order reaction, array l k= 0.693 t_ 1 / 2 = 0.693 6.0 h =0.1155 h⁻¹ Here, [A]₀=0.4 M,[A]_ t =0.12 M t= 2.303 k ₁₀ [A]₀ [A]₁ = 2.303 0.1155 h⁻¹ ₁₀ 0.4 0.12 = 2.303 0.1155 0.5224 t=10.42 h array

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