At what temperatures -in deg-C- will the speed of sound in air be 3 times its value at 0 deg-C-

Dear Student, speed of sound is directly proportional to square root of temperature. v #945;TT #160;is #160;in #160;kelvin #160;v3v=273T19=273TT=273* ...

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Standard IX

Physics

Effect of Temperature on Speed of Sound in Gases

At what tempe...

Question

At what temperatures (in °C) will the speed of sound in air be 3 times its value at 0°C?

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Solution

Dear Student,

speed of sound is directly proportional to square root of temperature.
$v α \sqrt{T} T i s i n k e l v i n \frac{v}{3 v} = \sqrt{\frac{273}{T}} \frac{1}{9} = \frac{273}{T} T = 273 * 9 = 2457 K R e g a r d s$

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At what temperatures (in °C) will the speed of sound in air be 3 times its value at 0°C?

Dear Student, speed of sound is directly proportional to square root of temperature. vαTT is in kelvin v3v=273T19=273TT=273*9=2457 KRegards

Dear Student,

speed of sound is directly proportional to square root of temperature.
$v α \sqrt{T} T i s i n k e l v i n \frac{v}{3 v} = \sqrt{\frac{273}{T}} \frac{1}{9} = \frac{273}{T} T = 273 * 9 = 2457 K R e g a r d s$