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 3 years ago
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
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).

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nowhereman
 3 years ago
Best ResponseYou've already chosen the best response.0Just solve: \[ \frac{x}{\sqrt{273  10}} = \frac{343}{\sqrt{273+20}} \] because that is what proportional means.

BecomeMyFan=D
 3 years ago
Best ResponseYou've already chosen the best response.0how do you get kelvin from celcius?

nowhereman
 3 years ago
Best ResponseYou've already chosen the best response.0It's just a simple translation [K] = [C] + 273.15, but you should see this from my previous answer.

BecomeMyFan=D
 3 years ago
Best ResponseYou've already chosen the best response.0am i not supposed to use something like \[(spped of sound) \alpha temperature ^{2}\] ?

BecomeMyFan=D
 3 years ago
Best ResponseYou've already chosen the best response.0speed = k * temperature ^ 2

nowhereman
 3 years ago
Best ResponseYou've already chosen the best response.0No, you said yourself, that the speed of sound v is proportional to the square root of the temperature T, so \[v \sim \sqrt{T} ⇔ ∃ k: v = k\cdot \sqrt{T}\]

BecomeMyFan=D
 3 years ago
Best ResponseYou've already chosen the best response.0so, is the answer 325? because thats what i got

BecomeMyFan=D
 3 years ago
Best ResponseYou've already chosen the best response.0anwar, can you please fan lokisan, because he helped me alot and i can only fan him once

nowhereman
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, 325 is about right. A more exact value I got, using 1 deg C = 273.15 K, is 324.975677595.
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