NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Kinetic Theory of Gases
NEET · Physics · Kinetic Theory of Gases
Match the concepts in Column I with the related physical quantities...
Match the concepts in Column I with the related physical quantities or expressions in Column II.
(
)
| Column I | Column II | ||
| (a) | Average kinetic energy | (p) | \tfrac{3}{2} k_B T |
| of gas molecules | |||
| (b) | Internal energy of | (q) | U = \tfrac{3}{2} n R T |
| an ideal gas | |||
| (c) | Kinetic theory of gases | (r) | Random motion of molecules |
| (d) | Maxwell-Boltzmann | (s) | Distribution of |
| distribution | molecular speeds | ||
| (e) | Degrees of freedom | (t) | 3 |
| for a monatomic gas |
Options
- A(a - p), (b - q), (c - r), (d - s), (e - t)
- B(a - q), (b - r), (c - t), (d - s), (e - p)
- C(a - p), (b - t), (c - r), (d - s), (e - q)
- D(a - r), (b - s), (c - p), (d - q), (e - t)
Correct answer
A. (a - p), (b - q), (c - r), (d - s), (e - t)
Step-by-step solution
1. (a) Average kinetic energy of gas molecules is given by (\frac{3}{2} k_B T), where is the Boltzmann constant and is the temperature, showing that kinetic energy is directly proportional to temperature.
2. (b) Internal energy of an ideal gas for a monatomic ideal gas is (U=\frac{3}{2} n R T), where is the number of moles and is the gas constant.
3. (c) Kinetic theory of gases deals with the random motion of molecules and how it relates to macroscopic properties like pressure and temperature.
4. (d) Maxwell-Boltzmann distribution explains the distribution of molecular speeds in a gas and predicts how many molecules have a particular speed at a given temperature.
5. (e) Degrees of freedom for a monatomic gas are 3, all of which are translational, as monatomic gases have no rotational or vibrational degrees of freedom at normal conditions.