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The speed of sound in the air is proportional to the square root of the absolute temperature. At 20 °C the speed of sound is 343 m/s. What is the speed of sound at –10 °C? (0 °C = 273 K).

  • 3 years ago
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  1. nowhereman
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    Just solve: \[ \frac{x}{\sqrt{273 - 10}} = \frac{343}{\sqrt{273+20}} \] because that is what proportional means.

    • 3 years ago
  2. BecomeMyFan=D
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    how do you get kelvin from celcius?

    • 3 years ago
  3. nowhereman
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    It's just a simple translation [K] = [C] + 273.15, but you should see this from my previous answer.

    • 3 years ago
  4. BecomeMyFan=D
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    am i not supposed to use something like \[(spped of sound) \alpha temperature ^{2}\] ?

    • 3 years ago
  5. BecomeMyFan=D
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    speed = k * temperature ^ 2

    • 3 years ago
  6. BecomeMyFan=D
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    ?

    • 3 years ago
  7. nowhereman
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    No, you said yourself, that the speed of sound v is proportional to the square root of the temperature T, so \[v \sim \sqrt{T} ⇔ ∃ k: v = k\cdot \sqrt{T}\]

    • 3 years ago
  8. BecomeMyFan=D
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    oh, i get it

    • 3 years ago
  9. BecomeMyFan=D
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    thanx

    • 3 years ago
  10. BecomeMyFan=D
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    so, is the answer 325? because thats what i got

    • 3 years ago
  11. BecomeMyFan=D
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    anwar, can you please fan lokisan, because he helped me alot and i can only fan him once

    • 3 years ago
  12. nowhereman
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    Yes, 325 is about right. A more exact value I got, using 1 deg C = 273.15 K, is 324.975677595.

    • 3 years ago
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