First slide

Speed of wave

Question

Under similar condition of temperature and pressure, which of the following will have the least velocity of sound?

Moderate

A

O₂
B

CO₂
C

He
D

Ne

Solution

$v_{sound} = \sqrt{\frac{γRT}{M}}$ So, $v_{sound} \propto \sqrt{\frac{γ}{M}}$
for O₂ and CO₂ $\to γ = \frac{7}{5} = 1 .4 and M_{{CO}_{2}} < M_{O_{2}}$
for He and Ne $\to γ = \frac{5}{3} = 1 .67 and V_{Ne} < V_{{He}_{}} Therefore v_{{co}_{2}} < v_{o_{2}} < v_{Ne} < v_{He}$

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