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Kinetic Theory of Gases appeared 26 times across 3 years — 3% of Physics. This question is from Kinetic Energy and Temperature.

Year 2026 2025 2024 Total
Questions 6 11 9 26
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The average kinetic energy of a monatomic molecule is 0.414 eV at temperature:

Solution & Explanation

Related Formula
Kavg = (3)/(2) kB T
Core Logic

Given energy is in electron-volts (1 eV = 1.6 × 10⁻¹⁹ J), we isolate T:

T = 2 Kavg3 kB

Substitute constants (kB = 1.38 × 10⁻²³ J/K):

Step 1: Compute value
T = 2 × 0.414 × 1.6 × 10⁻¹⁹3 × 1.38 × 10⁻²³ T = 1.3248 × 10⁻¹⁹4.14 × 10⁻²³ = 0.32 × 10⁴ = 3200 K
Pattern Recognition

Converting eV energy properties straight to structural SI standard Joules reveals highly cleanly simplified scalar components when paired with Boltzmann values.

Chapter Mix

Class 11 Physics: Kinetic Theory of Gases

Reference Study Guides

Kinetic Theory Of Gases

More Kinetic Theory of Gases Previous-Year Questions — Page 6

Q31 jee_main_2024_31_jan_morning Kinetic Energy Of Gas Molecules
The parameter that remains the same for molecules of all gases at a given temperature is :
  • A. kinetic energy
  • B. momentum
  • C. mass
  • D. speed

Solution

Related Formula
KE = (f)/(2)kT
Core Logic

The average translational kinetic energy of any gas molecule depends only on the absolute temperature of the gas and is independent of the nature or mass of the gas.

For 1 mole of any ideal gas, the average translational kinetic energy is (3)/(2)RT. Therefore, at a given temperature, the kinetic energy parameter is uniform across all ideal gases.

Pattern Recognition

Temperature is directly proportional to average translational kinetic energy. If T is constant, KE is constant for all gases regardless of mass.

Chapter Mix

Class 11 Physics: Kinetic Theory

More Kinetic Theory of Gases Questions — jee_main_2024_27_jan_morning

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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)