JEE Exam  >  JEE Questions  >  In the kinetic theory of gases, which of thes... Start Learning for Free
In the kinetic theory of gases, which of these statements is/are true ?
(i) The pressure of a gas is proportional to the mean speed of the molecules.
(ii) The root mean square speed of the molecules is proportional to the pressure.
(iii) The rate of diffusion is proportional to the mean speed of the molecules.
(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.
  • a)
    (ii) and (iii) only
  • b)
    (i), (ii) and (iv) only
  • c)
    (i) and (iii) only
  • d)
    (iii) and (iv) only
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the kinetic theory of gases, which of these statements is/are true ...
Explanation:

Pressure of a gas is proportional to the mean speed of the molecules:
This statement is true according to the kinetic theory of gases. The pressure of a gas is directly proportional to the mean square speed of the gas molecules.

Root mean square speed of the molecules is proportional to the pressure:
This statement is not true. The root mean square speed of the gas molecules is not directly proportional to the pressure. It is actually proportional to the square root of the temperature of the gas.

Rate of diffusion is proportional to the mean speed of the molecules:
This statement is true. The rate of diffusion of a gas is directly proportional to the mean speed of the gas molecules. Faster-moving molecules will diffuse more quickly than slower-moving ones.

Mean translational kinetic energy of a gas is proportional to its Kelvin temperature:
This statement is also true. The average translational kinetic energy of gas molecules is directly proportional to the temperature of the gas in Kelvin. This is described by the kinetic theory of gases.
Therefore, the correct statements are (iii) The rate of diffusion is proportional to the mean speed of the molecules, and (iv) The mean translational kinetic energy of a gas is proportional to its Kelvin temperature. So, the correct answer is option 'D' (iii) and (iv) only.
Explore Courses for JEE exam
In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect answer is option 'D'. Can you explain this answer?
Question Description
In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect 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 In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect 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 In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect answer is option 'D'. Can you explain this answer?.
Solutions for In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect 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 In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the kinetic theory of gases, which of these statements is/are true ?(i) The pressure of a gas is proportional to the mean speed of the molecules.(ii) The root mean square speed of the molecules is proportional to the pressure.(iii) The rate of diffusion is proportional to the mean speed of the molecules.(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.a)(ii) and (iii) onlyb)(i), (ii) and (iv) onlyc)(i) and (iii) onlyd)(iii) and (iv) onlyCorrect 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