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BITSAT2024ChemistryChemical KineticsActual

If for a first order reaction, the value of A and E_a are 4 10¹³ ~s ⁻¹ and 98.6 ~kJ ~mol ⁻¹ respectively, then at what temperature will its half life period be 10 minutes?

Options

  1. A330 K
  2. B300 K
  3. C330.95 K
  4. D311.15 K

Correct answer

D. 311.15 K

Step-by-step solution

According to Arrhenius equation, k= A- E_a 2.303 R T ...(i) For 1^ st order reaction, k= 0.693 t_ 1 / 2 = 0.693 600 s =1.1 10⁻³ ~s ⁻¹ Substitute the value of k in Eq. (i) log (1.1 10⁻³ )= (4 10¹³ )- 98.6 10^3 2.303 8.314 T Solving for T , T=311.15 ~K

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