Question

if the velocity of sound in helium at room temperature is 330 m/s, then the velocity of sound in hydrogen is

Answer 1

Velocity of sound in hydrogen = 427.7 m/s

Given:

If the velocity of sound in helium at room temperature is 330 m/s.

To find:

Velocity of sound in hydrogen.

Formula used:

Velocity of sound = $\sqrt{\frac{ \gamma \times p }{\rho} }$

Where p = pressure

           $\rho$ = Density

Explanation:

Velocity of sound = $\sqrt{\frac{ \gamma \times p }{\rho} }$

We know that    PV = nRT  ⇒   P =$\rho$ $\frac{RT}{m}$

Where m = atomic mass of gas

So

Velocity of sound = $\sqrt{\frac{\gamma RT}{m} }$

Temperature is constant, R is constant

Velocity of sound ∝ $\sqrt{\frac{\gamma }{m} }$

We know that Atomic mass of helium = 4

                                    $\gamma$ of helium = 1.66

                      Atomic mass of hydrogen = 2

                                    $\gamma$ of hydrogen = 1.4

From above equation,

By putting the values,

Velocity of sound in hydrogen = $\sqrt{\frac{42}{25} }$ × velocity of sound in helium

Velocity of sound in hydrogen = 427.7 m/s

To learn more...

1)Find the speed of sound in the mixture of 1mole helium and 2 mole oxygen

https://brainly.in/question/2579512

2)Speed of sound in helium at 27c temp given molecular weight of helium 4g/mol

https://brainly.in/question/8170955