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The speed of sound in a perfect gas depends on

  • A.The absolute temperature alone
  • B.The absolute pressure alone
  • C.The density alone
  • D.Both the pressure and the density independently

Answer: A

For a perfect gas the speed of sound is the square root of the specific heat ratio times the gas constant times the absolute temperature. Pressure and density appear only through their ratio, which the equation of state ties to temperature, so temperature is the only independent variable that matters.

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