The internal energy of a fixed case of an ideal gas depends on:

Correct answer: B. Temperature, but not pressure or volume

  • A. Pressure, but not volume or temperature
  • B. Temperature, but not pressure or volume
  • C. Volume, but not pressure or temperature
  • D. Pressure and temperature, but not volume

Explanation

For an ideal gas the internal energy is purely the kinetic energy of its molecules, and that depends only on absolute temperature. Pressure and volume may be changed in any way at all: so long as the temperature is unchanged, the internal energy is unchanged.

This question appeared on the ETEA MDCAT 2013 paper, which you can sit online with every answer explained.

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About Thermodynamics

Thermal equilibrium and heat explain how temperature and energy transfer are related, while molar specific heats describe the heat required by a gas at constant volume or constant pressure. The first law connects heat supplied, work done and change in internal energy, with sign conventions kept distinct from temperature changes.

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