Estimate the speed of sound in air at standard temperature and pressure. Athe mass of 1 mole of air is 29.0 xx 10^(-3) kg.

Estimate the speed of sound in air at standard temperature and pressur

1.	Estimate the speed of sound in air at standard temperature and pressure. Athe mass of 1 mole of air is 29.0 xx 10^(-3) kg.
Answer» <html><body><p></p>Solution :We know that <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> mole of any gas occupies 22.4 litres at STP. Therefore, density of air at STP is : <br/> `rho_(o) = ("mass of mole of air")// ("volume of one mole of air at STP")` <br/> `= (29.0 <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> 10^(-3) kg)/(22.4 xx 10^(-3) m^(3))` <br/> `= 1.29 kg m^(-3)` <br/> According to Newton.s formula for the speed of sound in a medium, we get for the speed of sound in air at STP, <br/> `v = [(1.01 xx 10^(5) N m^(-<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>))/(1/29 kg m^(-3))]^(1//2) = 280 m s^(-1)` (15.23)</body></html>