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Kinetic Theory of Gases appeared 26 times across 3 years — 3% of Physics. This question is from Specific Heat Capacity.

Year 2026 2025 2024 Total
Questions 6 11 9 26
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Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is:

Solution & Explanation

Related Formula

Molar specific heat at constant volume for a gas mixture:

CV, mix = n₁ CV1 + n₂ CV2n₁ + n₂

For a monoatomic gas:

CV1 = (3)/(2)R

For a diatomic gas:

CV2 = (5)/(2)R
Core Logic

Given values: n₁ = 2 (monoatomic), n₂ = 6 (diatomic).

Substitute these inputs directly into the mixture equation:

CV, mix = (2 × ((3)/(2)R) + 6 × ((5)/(2)R))/(2 + 6)
Step 1: Simplify Expression
CV, mix = (3R + 15R)/(8) = (18R)/(8) = (9)/(4)R
Pattern Recognition

Weighted average rule based on internal degrees of freedom: total internal energy changes scale additively with mole numbers.

Chapter Mix

Class 11 Physics: Kinetic Theory of Gases Class 11 Physics: Thermodynamics

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_01_february_morning

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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%)