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The speed of sound will be highest in

  • A.dry air at 0 degree centigrade
  • B.dry air at 30 degree centigrade
  • C.humid air at 0 degree centigrade
  • D.humid air at 30 degree centigrade

Answer: D

Sound travels fastest in humid air at 30 degree centigrade.

Two effects raise the speed of sound in air. It increases with temperature, by about 0.6 m/s for every degree Celsius, because the molecules move faster. And it increases with humidity, because water vapour (molecular mass 18) is lighter than the nitrogen and oxygen it replaces, so humid air is less dense.

\[ v \approx 331 + 0.6\,T \ \text{m/s} \]

So the warmest and most humid air wins. Dry air at 0 degrees is the slowest of the four, and humid air at 0 degrees or dry air at 30 degrees each has only one of the two advantages.

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