MHT CET202312 May 2023Evening ShiftChemistryChemical KineticsActual
A first order reaction takes 23.03 minutes for 20 % decomposition. Calculate its rate constant.
Options
- A5:6 6 10⁻³ minute ⁻¹
- B4.5 10⁻³ minute ⁻¹
- C6.5 10⁻³ minute ⁻¹
- D9.69 10⁻³ minute ⁻¹
Correct answer
D. 9.69 10⁻³ minute ⁻¹
Step-by-step solution
[A]₀=100 %,[A]_t=100-20=80 % Substitution of these in above aligned k & = 2.303 t ₁₀ [ A ]₀ [ ~A ]_ t k & = 2.303 t ₁₀ 100 80 & = 2.303 23.03 ~min ₁₀(1.25) & = 2.303 23.03 ~min 0.0969 & =9.69 10⁻³ minute ⁻¹ aligned