Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2014ChemistryChemical KineticsActual

Two substances R and S decompose in solution independently, both following first order kinetics. The rate constant of R is twice that of S . In an experiment, the solution initially contained 0.5 millimoles of R and 0.25 of S . The molarities of R and S will be equal just at the end of time equal to

Options

  1. Atwice the half life of R
  2. Btwice the half life of S
  3. Cthe half life of S
  4. Dthe half life of R

Correct answer

A. twice the half life of R

Step-by-step solution

Substance R Substance S 2 k k rate constant t _ 1 / 2 = n t _ 1 / 2 where n = number of half life period Amount of R left = 0.5 (2)^ T / t _ / 2 Amount of S left = 0.25 (2)^ T / 2 t / 2 Equating both 0.5 0.25 = (2)^ T / t _ 1 / 2 (2)^ T / 2 t _ 1 / 2 or 2=(2)^ T / t _ 1 / 2 T =2 t _ 1 / 2 2 t _ 1 / 2 is half life of S and twice the half -life of R

Practice Chemical Kinetics on Quantrex Academy →

More from Chemical Kinetics

For the reaction 2 SO ₂+ O ₂ 2 SO ₃ , the rate of disappearance of O ₂ is 2 10⁻⁴ ~mol ~L ⁻¹ s ⁻¹ . The rate appearance of SO ₃ is 2024If for a first order reaction, the value of A and E_a are 4 10¹³ ~s ⁻¹ and 98.6 ~kJ ~mol ⁻¹ respectively, then at what temperature will its half life period be 10 minutes? 2024In the chemical reaction A B , what is the order of the reaction? Given that, the rate of reaction doubles if the concentration of A is increased four times. 2024Calculate the activation energy of a reaction, whose rate constant doubles on raising the temperature from 300 K to 600 K . 2024In the reaction, A products, If the concentration of the reactant is doubled rate of the reaction remains unchanged. The order of the reaction with respect to A is 2024In a first order reaction, the concentration of the reactant, decreases from 0.8 M to 0.4 M in 15 minutes. The time taken for the concentration to change from 0.1 M to 0.025 M is 2024For the decomposition of azomethane, CH ₃ ~N ₂ CH ₃( ~g ) CH ₃ CH ₃( ~g )+ N ₂( ~g ) a first order reaction, the variation in partial pressure with time at 600 ~K is given as The h 2023Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows Arrhenius equation is 2023 Full Chemical Kinetics list All BITSAT PYQs