What are the factors which affect the speed of sound in the gas?

Answers (1)

 Factors affecting the speed of sound in the gas

1.Effect of density - 

For two gases of densities \rho_1 \ and \ \rho_2 at same pressure with ratios of specific heat \gamma_1 \ and \ \gamma_2 - 

                                                                    \frac{v_1}{v_2} = \sqrt{\frac{\gamma_1 \times \rho_2}{\gamma_2 \times \rho_1}}

2.Effect of temperature -

     As,  \frac{P}{\rho} = \frac{RT}{M}   

 

                             So v = \sqrt{\frac{\gamma RT}{M}}\Rightarrow v \propto \sqrt{T}

So, as the temperature increases the velocity will increase

3. Effect of humidity - 

With the increase in humidity, the density will increase. And as we know that - v \propto \frac{1}{\sqrt{\rho}}

So, the speed of sound will increase.

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