Question

The speed of sound through oxygen gas at TK is $vm{s}^{-1}$. As the temperature becomes 2T and oxygen gas dissociated into atomic oxygen, the speed of sound is:

• A. Remains the same
• B. Becomes 2v
• C. Becomes $\sqrt{2}v$
• D. None of these

Answer 1

The correct option is C Becomes $\sqrt{2}v$

$V=\frac{YRT}{M}$

ie $V\alpha \sqrt{T}{V}_{new}\alpha \sqrt{2t}\frac{V}{V_{new}}=\frac{\sqrt{T}}{\sqrt{2}T}{V}_{new}=\sqrt{2}V$