# Fundamentals of Physics Chapter 19 Solutions: The Kinetic Theory of Gases

Halliday Resnick and Walker Fundamentals of Physics Volume 1 Chapter 19 ‘The Kinetic Theory of Gases’ will help you polish all the concepts related to this chapter for competitive exams like JEE and NEET. The chapter ‘The Kinetic Theory of Gases’ of Resnick Halliday Walker Solutions covers topics like Avogadro’s number, ideal gases, work done by gas, pressure, temperature, RMS speed, translational kinetic energy, mean free path, the distribution of molecular speed, the molar specific heat of ideal gases and other related concepts.

Resnick Halliday & Walker fundamental of Physics Volume 1 ‘’Kinetic Theory of Gases’ contains 10 modules covering 97 questions. The solutions for these questions from our subject matter experts are arranged systematically from basic to advanced levels and cover all types of questions that are asked in competitive exams like JEE Mains and JEE Advanced. With the help of our solutions, you will be able to manage your time efficiently in the exam hall by practising similar type questions prior.

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## Important Topics For Resnick Halliday & Walker Fundamentals of Physics Volume 1 Solutions Chapter 19: The Kinetic Theory of Gases

**Kinetic Theory of Gases**

A gas contains atoms that work together to fill the volume of a container and eventually exert pressure on the walls of the container. Gas has three variables that are volume, pressure, and temperature. In the chapter, you will understand how these three variables work together.

The kinetic theory of the gases mainly relates the macroscopic properties of gases to the microscopic properties of gas molecules. This theory of gases. Relates the motion of atoms to the pressure, volume, as well as the temperature of gases. In the chapter, you will know about the countless applications of the kinetic theory of gases.

**Avogadro’s Number**

Avogadro told that all the gases that occupy the same volume that too under the same conditions of temperature and pressure contain the same amount of atoms or molecules.

The value of Avogadro’s number is:

* ** N*_{A} = 6.02 x 10^{23} mol^{-1}

**Ideal Gases**

This section will tell you about the macroscopic properties of gases and also the ideal gas law. This law is used for any single gas or a mixture of gases.

* pV= nRT*

Here, p is the absolute pressure, n is the number of moles present in the gas, and T is the temperature in the kelvins. The symbol *R* is the gas constant that has the same value for all gases, *R= 8.31 J/mol.K*

This topic helps you to gain useful insights into the limiting behaviours of real gases.

Also, in the chapter, you will know how to find the work done by an ideal gas at a particular temperature and at constant volume and pressure.

**Pressure, Temperature and RMS speed**

In order to calculate these three things in a gas, you will have to go through the chapter to know the right formula so that you can calculate the pressure exerted by gas at a particular temperature. Also, you will know how to calculate the RMS speed of molecules of gases.

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### Exercise Discussion of Halliday Resnick and Walker Fundamentals of Physics Volume 1 Solutions Chapter 19 the Kinetic Theory of Gases

**Module 1: Avogadro’s Number**

This module has only two questions in which you will have to find a mass or the number of moles and atoms in a substance.

**Module 2: Ideal Gases**

This module has 14 questions in which you will have to find the number of moles, the temperature of a substance, pressure, amount of energy transferred, work is done, volume in the container.

**Module 3: Pressure, Temperature, and RMS Speed**

This module has 7 questions where you will solve questions based on finding the RMS speed of molecules, the pressure of the gas, or identifying the type of gas.

**Module 4: Translation Kinetic Energy**

Module 4 contains only 3 questions where you will have to determine the average value of the translational kinetic energy.

**Module 5: Mean Free Path**

Module 5 contains 5 questions where you need to find answers to the questions like finding the frequency, assuming the molecular diameter of a substance, and finding the number of molecules.

**Module 6: The Distribution of Molecular Speeds**

Module 6 contains 8 questions. These questions ask you to find the average speed and RMS speed of molecules, gas temperature, and the two mass ratios.

**Module 7: The Molar Specific Heats of an Ideal Gas**

This module contains 7 questions in which you will have to find the mass of atoms, the change in kinetic energy, the volume of gas, the amount of energy transferred, internal energy, amount of work done.

**Module 8: Degrees of Freedom and Molar Specific Heats**

Module 8 contains a total of 4 questions in which you need to find the amount of internal energy amount of energy transferred and change in kinetic energy.

**Module 9: The Adiabatic expansion of an Ideal Gas**

Module 9 contains 9 questions in which you will have to find out the pressure and temperature of gas, final volume of gas, change in the internal energy, and amount of work done.

**Module 10: Additional Problems **

The last module contains 33 questions. You will be solving questions on all the topics of the chapter like calculating the work done, finding the number of moles, translational kinetic energy, average speed, amount of pressure, molar specific heat, change in internal energy, the ratio of masses of molecules.