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Further Mechanics and Thermal Physics

Molecular kinetic theory model

  • 6 things to know
  • Papers 2 and 3

Overview

Deriving the kinetic theory equation, root mean square speed, and internal energy of an ideal gas.

What you need to know

Answer each one before you reveal it.

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Numbers

In the kinetic theory derivation, how are the momentum change and the force on a wall found?

Numbers

How is root mean square speed calculated, and what forms the internal energy of an ideal gas?

Numbers

How is the average kinetic energy of a gas molecule related to temperature?

Numbers

Why does a factor of one third appear in the kinetic theory derivation?

Key term

State the kinetic theory assumption regarding the motion of gas molecules

Process

According to molecular kinetic theory, how does pressure arise in a gas?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is Brownian motion?

    Model answer

    The random, erratic movement of small visible particles suspended in a fluid, caused by collisions with invisible atoms or molecules.

  2. 2

    Why does Brownian motion provide evidence for the existence of atoms?

    Model answer

    The random motion of visible particles can only be explained by collisions with much smaller, invisible particles (atoms or molecules).

  3. 3

    According to molecular kinetic theory, how does pressure arise in a gas?

    Model answer

    Gas molecules collide with the container walls and exert force on them; pressure is the result of these collisions.

  4. 4

    At constant temperature, why does reducing the volume of a gas increase its pressure?

    Model answer

    Reducing volume increases the frequency of molecular collisions with the walls, thereby increasing pressure.

  5. 5

    Explain why increasing the temperature of a gas at constant volume increases its pressure.

    Model answer

    Higher temperature increases the average kinetic energy and speed of molecules, leading to more frequent and harder collisions with the walls.

  6. 6

    What does it mean to say the gas laws are empirical?

    Model answer

    They are derived from experimental observations rather than theoretical principles.

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