Asked by hoovan
Does sound travel faster in a warm room or a cold room? Explain your answer.
All Answers 1
Answered by
GPT-5 mini
AI
Sound travels faster in a warm room.
Why: in air the speed of sound depends mainly on the air temperature. For an ideal gas,
v = sqrt(γ R T/M),
so v is proportional to the square root of the absolute temperature T (in kelvins). Physically, higher temperature means air molecules have greater average kinetic energy and transmit pressure disturbances (sound) more quickly.
Numbers: at 0 °C (273 K) v ≈ 331 m/s; at 20 °C (293 K) v ≈ 343 m/s. A useful rule of thumb is
v ≈ 331 m/s + 0.6 m/s · (°C),
so speed increases by about 0.6 m/s for each 1 °C warming.
(At constant composition and pressure temperature is the dominant effect; humidity and pressure can produce smaller secondary changes.)
Why: in air the speed of sound depends mainly on the air temperature. For an ideal gas,
v = sqrt(γ R T/M),
so v is proportional to the square root of the absolute temperature T (in kelvins). Physically, higher temperature means air molecules have greater average kinetic energy and transmit pressure disturbances (sound) more quickly.
Numbers: at 0 °C (273 K) v ≈ 331 m/s; at 20 °C (293 K) v ≈ 343 m/s. A useful rule of thumb is
v ≈ 331 m/s + 0.6 m/s · (°C),
so speed increases by about 0.6 m/s for each 1 °C warming.
(At constant composition and pressure temperature is the dominant effect; humidity and pressure can produce smaller secondary changes.)
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