Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainChemistryChemical Kinetics

The rate equation for a first-order reaction is given by R = R 0 e - kt . A straight line with positive slope is obtained by plotting ( R 0 = Initial concentration of the reactant, R = concentration of the reactant at time t )

Options

  1. Alog R 0 R Vs time
  2. BR Vs time
  3. Clog R Vs time
  4. Dlog R R 0 Vs time

Correct answer

A. log R 0 R Vs time

Step-by-step solution

First-order reaction is the rate of reaction is proportional to the first power of the concentration of the reactant R . R → P Rate = - d R dt = kR Rate equation, R = R 0 e - kt Comparing with y = mx + c , if we plot lnR against t , we get a straight line with a slope = - k and intercept = ln R 0 . Also, k = 2 . 303 t log R 0 R ⇒ log R 0 R = kt 2 . 303 If we plot a graph between log R 0 R Vs t , slope = k 2 . 303 .

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 99 Percentile Qs Bank for JEE Main PYQs