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Thermal Physics

Gas laws, the ideal gas equation and r.m.s. speed

  • 4 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on Boyle's law and the pressure law and investigating them, estimating absolute zero, the ideal gas equation pV = nRT, the kinetic theory equation, mean square speed and root mean square speed.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation of state for an ideal gas in terms of the number of moles.

Key term

Define mean square speed.

Key term

State Boyle's law for an ideal gas.

Key term

Define root mean square speed in terms of mean square speed.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State Boyle's law for an ideal gas.

    Model answer

    At constant temperature, pV = constant (pressure is inversely proportional to volume)

  2. 2

    What relationship holds for a fixed mass of gas at constant volume when temperature changes?

    Model answer

    P/T = constant (pressure is directly proportional to absolute temperature)

  3. 3

    Describe how Boyle's law can be investigated experimentally.

    Model answer

    By measuring the pressure and volume of a fixed mass of gas at constant temperature

  4. 4

    How can the pressure-temperature relationship for a gas be investigated experimentally?

    Model answer

    By measuring the pressure of a fixed volume of gas at different temperatures

  5. 5

    How can absolute zero be estimated from experimental gas data?

    Model answer

    By extrapolating a graph of gas pressure against temperature to find the temperature at which pressure would reach zero

  6. 6

    State the equation of state for an ideal gas in terms of the number of moles.

    Model answer

    pV = nRT, where p is pressure, V is volume, n is the number of moles, R is the molar gas constant, and T is absolute temperature

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