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Thermodynamics

Mean kinetic energy and the absolute temperature scale

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on the link between mean kinetic energy and absolute temperature, converting from Celsius, why the absolute scale must be used, and why a gas cools as a liquid evaporates.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How is a pressure against temperature graph used to find absolute zero, and what happens to mean kinetic energy when the absolute temperature doubles?

Process

What happens to the internal energy of a substance that is heated without changing state?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Why is it impossible to cool a substance below absolute zero?

    Model answer

    At absolute zero the molecules already have the least energy they can possess, so there is no further energy left to remove.

  2. 2

    How is the mean kinetic energy of molecules related to the absolute temperature?

    Model answer

    The mean molecular kinetic energy is directly proportional to the absolute temperature.

  3. 3

    The absolute temperature of a gas is doubled. What happens to the mean kinetic energy of its molecules?

    Model answer

    The mean kinetic energy also doubles, because it is directly proportional to absolute temperature.

  4. 4

    A gas is heated from 27 °C to 327 °C. By what factor does the mean kinetic energy of its molecules increase?

    Model answer

    The absolute temperature rises from 300 K to 600 K, so the mean kinetic energy doubles.

  5. 5

    How can a graph of pressure against temperature for a fixed volume of gas be used to find absolute zero?

    Model answer

    Extrapolate the straight line backwards to the temperature at which the pressure would fall to zero; the intercept on the Celsius axis is about −273 °C.

  6. 6

    Why must absolute temperature, not Celsius temperature, be used in the gas equations?

    Model answer

    The equations express direct proportionality, which only holds on a scale that starts at a true zero of molecular energy.

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