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  • Stuck here, help me understand: The velocity of sound is measured in hydrogen and oxygen at a certain temperature. The ratio of the velocities is,

The velocity of sound is measured in hydrogen and oxygen at a certain temperature. The ratio of the velocities is,

  • Option 1)

    1:1

  • Option 2)

    1:2

  • Option 3)

    1:4

  • Option 4)

    4:1

 

Answers (1)

best_answer

As we learnt in 

Effect of temperature on speed of sound -

\because \frac{P}{\rho }= \frac{RT}{M}

\therefore V= \sqrt{\frac{\gamma RT}{M}}

 

- wherein

V \alpha \sqrt{T}

T is in Kelvin

So velocity increses with increase in temperature.

 

 

 V=\sqrt{\frac{\gamma RT}{M}}\:\:\:=>V\propto \frac{1}{\sqrt{14}}

\frac{V_{H2}}{V_{O2}}=\sqrt{\frac{M_{O2}}{M_{H2}}}=\sqrt{\frac{32}{2}}=4:1

 


Option 1)

1:1

This option is incorrect.

Option 2)

1:2

This option is incorrect.

Option 3)

1:4

This option is incorrect.

Option 4)

4:1

This option is correct.

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Plabita

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