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The speed of sound in air at \( 288 \) K, with \( \gamma = 1.4 \) and \( R = 287 \) J/kg K, is nearest to

  • A.402 m/s
  • B.116 m/s
  • C.340 m/s
  • D.295 m/s

Answer: C

The speed of sound is \( a = \sqrt{\gamma R T} \). The product is \( 1.4 \times 287 \times 288 = 115\,718 \), whose square root is \( 340.2 \) m/s. The distractor 402 is what results from forgetting the temperature, and 116 from forgetting to take the root at all.

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