AP EAMCET20227 Jul 2022Evening ShiftChemistryChemical KineticsActual
What is the concentration (in mol L ⁻¹ ) of the product after 20 ~s in the following reaction. Given that A 3 B , rate =k[ ~A ]^0
Options
- A6.6 10⁻²
- B1.32 10⁻¹
- C1.98 10⁻¹
- D2.2 10⁻²
Correct answer
C. 1.98 10⁻¹
Step-by-step solution
For the zero order reaction, A 3 B the half-life is given by the formula t_ 1 / 2 =A₀ / 2 k where, A₀ is the initial concentration and k is the rate constant. After 15 ~s the concentration of A (0.1 ~mol ~L ⁻¹ ) is reduced to its half value (0.05 ~mol ~L ⁻¹ ) , so, t_ 1 / 2 =15 ~s k=0.1 / 2 15=0.0033 ~mol ~L ⁻¹ ~s ⁻¹ For zero order reaction after time ' t ' the concentration of reactant A is given by formula [A]= [A₀ ]-k t After t=20 ~s aligned [A] & =0.1 ~mol ~L ⁻¹-0.0033 ~mol ~L ⁻¹ ~s ⁻¹ 20 ~s & =0.033 ~mol ~L ⁻¹