letaijasimplyy6151 letaijasimplyy6151
  • 05-07-2019
  • Physics
contestada

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

Respuesta :

aristocles aristocles
  • 10-07-2019

Answer:

v = 335.7 m/s

Explanation:

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

[tex]v = \sqrt{\frac{\gamma RT}{M}}[/tex]

now we have

[tex]\gamma = 1.4[/tex] 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

[tex]v = \sqrt{\frac{(1.4)(8.31)(281)}{0.029}}[/tex]

[tex]v = 335.7 m/s[/tex]

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