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Which pressure change accompanies a rise in temperature at constant volume?

  • A.The pressure is unchanged
  • B.The pressure rises in proportion to the square of the absolute temperature according to the ideal gas law
  • C.The pressure rises in proportion to the absolute temperature
  • D.The pressure falls because the gas expands and therefore exerts less force upon the walls of the container

Answer: C

With density fixed, the gas law gives pressure proportional to absolute temperature, which is Gay-Lussac's law. Doubling the absolute temperature therefore doubles the pressure. The atmosphere rarely holds volume constant, so this case arises more often in laboratory and engineering contexts than in meteorology, but the relation is part of the same single equation of state. Most errors here come from carrying a result across from a neighbouring case where it does not hold.

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