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JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2023 · 15 April · Morning Shift · Physics · Kinetic Theory of Gases

A flask contains Hydrogen and Argon in the ratio 2: 1 by mass. The...

A flask contains Hydrogen and Argon in the ratio 2:12: 1 by mass. The temperature of the mixture is 30°C30 ° C. The ratio of average kinetic energy per molecule of the two gases (KargonKhydrogen)\left(\dfrac{{K}_{argon}}{{K}_{hydrogen}}\right) is: (Given : Atomic Weight of Ar=39.9Ar = 39 . 9)

Options

  1. A22
  2. B11
  3. C39.939 . 9
  4. D39.92\dfrac{39 . 9}{2}

Correct answer

B. 11

Step-by-step solution

The formula to calculate the average kinetic energy per molecule of a gas at any temperature TT is given by

Kavg=32kBT{K}_{avg} = \dfrac{3}{2}{k}_{B}T

where, kB{k}_{B} is Boltzmann constant.

From above equation, it can be concluded that the average kinetic energy per molecule is independent of the molecular weight of the gas.

Hence, the required ratio is 1:11: 1.

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