Question

A sample of oxygen at NTP has volume V and a sample of hydrogen at NTP has volume 4V. Both the

gases are mixed and the mixture is maintained at NTP. If the speed of sound in hydrogen at NTP is 1270

m/s, calculate the speed of sound in the mixture.​

Answer 1

Given:

The volume of the hydrogen is 4V

The speed of sound at NTP is 1270

To find:

The speed of the sound in the mixture.

Solution:

The ratio of the velocity of hydrogen and mixture as given below:

v'/v=$\sqrt{} \frac{p'}{p}$

Now the density mixture is

p= (p"v"+p'v')/(v"+v')

Taking the ratio of the density of hydrogen and mixture.

p/p'=(1+(p"/p')×(v"/v'))/(1+(v"/v'))

Putting the above values

=(1+16/4)/(1+1/4)

=4

Now calculating the speed of mixture.

v=v'√1/4

v=1270/2

v=635 m/sec

So the speed of sound in mixture is  635 m/sec