Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020ChemistryChemical KineticsPractice

For a first order reaction A → P , the temperature (T) dependent rate constant k was found to follow the equation log ⁡ k = - 2000 1 T + 6.0 . The pre-exponential factor A and the activation energy E a , respectively, are

Options

  1. A1.0 × 10 6 s - 1 and 9.2 kJ mol - 1
  2. B6.0 s - 1 and 16.6 kJ mol - 1
  3. C1.0 × 10 6 s - 1 and 16.6 kJ mol - 1
  4. D1.0 × 10 6 s - 1 and 38.3 kJ mol - 1

Correct answer

D. 1.0 × 10 6 s - 1 and 38.3 kJ mol - 1

Step-by-step solution

log k = log A − E a 2.303 R T ...(1) Also given log k = 6.0 − ( 2000 ) 1 T …(2) On comparing equations, (1) and (2) log A = 6.0 ⇒ A = 10 6 s − 1 and E a 2.303 R = 2000 ; ⇒ E a = 2000 × 2.303 × 8.314 = 38.29 kJ mol − 1

Practice Chemical Kinetics on Quantrex Academy →

More from Chemical Kinetics

For a reversible reaction R P , at constant temperature, both the forward and the backward reactions are first order elementary reactions with rate constants k_f and k_b , respecti 2026For a first-order reaction R P at a given temperature, k is the rate constant. For this reaction, at the given temperature, the concentrations of R and P at a time t are [ R ] and 2026Given below are two statements: R=8.314 J K ⁻¹ mol ⁻¹ and 1 cal =4.2 J Statement I: When E_a=12.6 kcal/mol, the room temperature rate constant is doubled by a 10 ,^ C increase in t 2026Decomposition of a hydrocarbon follows the equation k = (5.5 10¹¹ , s ⁻¹) ,e^ -28000 , K T . The activation energy of reaction is __________ kJ mol ⁻¹ . (Nearest Integer) Given : R 2026For a reaction A P at T K , the half life (t_ 1/2 ) is plotted as a function of initial concentration [A]₀ of A as given below. The value of x in the given figure is _______ s (Nea 2026First order gas phase reaction A B + C p_i = initial pressure of gas A, p_t = total pressure of the reaction mixture at time t Expression of rate constant ( k ) is 2026If the half life of a first order reaction is 6.93 minutes then the time required for completion of 99 % of the reaction will be _____ minutes. (Given : 2 = 0.3010 ) 2026Consider the given graph showing variation of reactant concentration with time. Three different reactions were started with identical initial concentration of reactants. Which of t 2026 Full Chemical Kinetics list All NTA Abhyas JEE Main PYQs