Question

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

Answer 1

Answer:

v = 335.7 m/s

Explanation:

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

$v = \sqrt{\frac{\gamma RT}{M}}$

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

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

$v = 335.7 m/s$