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On a day when the temperature is 8 degrees Celcius, what is the speed of sound in air, in units of m/s.

User Harry Cho
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1 Answer

4 votes

Answer:

v = 335.7 m/s

Step-by-step explanation:

As we know that speed of sound in air is given by the formula


v = \sqrt{(\gamma RT)/(M)}

now we have


\gamma = 1.4 For air

M = 29 g/mol = 0.029 kg/mol

T = 8 degree Celcius = 273 + 8 = 281 K

R = 8.31 J/mol K

now from above formula we have


v = \sqrt{((1.4)(8.31)(281))/(0.029)}


v = 335.7 m/s