Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main2013ChemistryChemical KineticsActual

The rate of a reaction doubles when its temperature changes from 300 K to 310 K . Activation energy of such a reaction will be: ​ R = 8.314 JK -1 mol -1 and log 2 = 0.301

Options

  1. A58 . 5   kJ   mol   - 1
  2. B60 . 5   kJ   mol   - 1
  3. C53 . 6   kJ   mol   - 1
  4. D48 . 6   kJ   mol   - 1

Correct answer

C. 53 . 6   kJ   mol   - 1

Step-by-step solution

log k 2 k 1 = − E a 2 .303 R ( 1 T 2 − 1 T 1 ) log k 2 k 1 = E a 2 . 3 0 3 R T 2 - T 1 T 1 T 2 log  2 = E a 2 . 3 0 3 × 8 . 3 1 4 × 1 0 3 0 0 × 3 1 0 E a = 0 . 301 × 2 . 303 × 8 . 314 × 300 × 310 10 = 53603 . 9   J / mol E a = 53.6 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 JEE Main PYQs