NCERT Solutions for Class 11 Physics Ch-12: Kinetic Theory
NCERT Solutions for Class 11 Physics Chapter 12 Kinetic Theory explains the microscopic behaviour of gas molecules, the kinetic theory postulates, the ideal gas equation, degrees of freedom, and the law of equipartition of energy.
Overview of Topics & Subtopics
Important Questions and Answers
Q1: State any two basic postulates of the kinetic theory of gases.
Answer: Two basic postulates are: (i) A gas consists of a very large number of tiny molecules in constant, random motion, colliding elastically with each other and with the walls of the container; (ii) The molecules are treated as point masses, and the volume occupied by the molecules themselves is negligible compared to the volume of the container.
Q2: Write the ideal gas equation and explain the terms involved.
Answer: The ideal gas equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles of the gas, R is the universal gas constant, and T is the absolute temperature of the gas.
Q3: What is the kinetic interpretation of temperature according to kinetic theory?
Answer: According to kinetic theory, the absolute temperature of a gas is directly proportional to the average kinetic energy of translation of its molecules; specifically, the average kinetic energy per molecule is given by (3/2)kBT, where kB is the Boltzmann constant.
Q4: What is meant by the 'degrees of freedom' of a gas molecule?
Answer: The degrees of freedom of a molecule refer to the total number of independent ways in which it can possess energy, such as through translational, rotational, or vibrational motion. A monatomic gas molecule has 3 degrees of freedom (translational only), while a diatomic gas molecule typically has 5 (3 translational and 2 rotational).
Q5: State the law of equipartition of energy.
Answer: The law of equipartition of energy states that in thermal equilibrium, the total energy of a system is equally distributed among all its degrees of freedom, with each degree of freedom contributing an average energy of (1/2)kBT per molecule.