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Question 850005
JEE Chemistry · Medium

States of Matter and Gaseous State: Kinetic molecular theory MCQ

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Kinetic molecular theoryMediumQuestion 850005

Question

The root mean square speed (urms) of gas molecules is:
  1. A
    √(3RT/M)
    Correct
  2. B
    √(2RT/M)
  3. C
    √(8RT/πM)
  4. D
    3RT/M

Correct answer

√(3RT/M)

Explanation

urms = √(3RT/M) where M = molar mass in kg/mol. Also: average speed u_avg = √(8RT/πM), most probable speed ump = √(2RT/M). Ratio: urms : u_avg : ump = √3 : √(8/π) : √2.

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