JEE Exam  >  JEE Questions  >  The rate of a reaction quadruples when the te... Start Learning for Free
The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is: (Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)
  • a)
    107.2 kJ mol−1
  • b)
    53.6 kJ mol−1
  • c)
    26.8 kJ mol−1
  • d)
    214.4 kJ mol−1
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The rate of a reaction quadruples when the temperature changes from 30...
To determine the activation energy of the reaction, we can use the Arrhenius equation:

k = A * e^(-Ea / (R * T))

Where:
k is the rate constant
A is the preexponential factor
Ea is the activation energy
R is the gas constant (8.314 J mol^-1 K^-1)
T is the temperature in Kelvin

Given that the rate of the reaction quadruples when the temperature changes from 300 to 310 K, we can write:

k2 = 4 * k1

Using the Arrhenius equation for both temperatures, we have:

k1 = A * e^(-Ea / (R * 300))
k2 = A * e^(-Ea / (R * 310))

Substituting k2 = 4 * k1, we get:

4 * k1 = A * e^(-Ea / (R * 310))

Dividing both sides by k1 and simplifying, we have:

4 = e^(-Ea / (R * 310))

Taking the natural logarithm of both sides, we get:

ln(4) = -Ea / (R * 310)

Simplifying further, we have:

Ea = -ln(4) * R * 310

Substituting the values of ln(4) = 0.693 and R = 8.314 J mol^-1 K^-1, we have:

Ea = -0.693 * 8.314 * 310

Ea ≈ -17372.31 J/mol

Therefore, the activation energy of the reaction is approximately -17372.31 J/mol.
Explore Courses for JEE exam
The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer?
Question Description
The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer?.
Solutions for The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is:(Assume activation energy and preexponential factor are independent of temperature; ln 2=0.693; R=8.314 J mol−1 K−1)a)107.2 kJ mol−1b)53.6 kJ mol−1c)26.8 kJ mol−1d)214.4 kJ mol−1Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev