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Effect of Temperature on Speed of Sound in Gases

The velocity ...

Question

The velocity of sound at $0^{o} C$ is $332$ m/s. At what temperature will it $664$ m/s?

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Solution

Velocity of sound $v \propto \sqrt{T}$
So, $\frac{V_{i}}{V_{f}} = \sqrt{\frac{T_{i}}{T_{f}}}$
Or $\frac{332}{664} = \sqrt{\frac{273}{T_{f}}}$
$⟹ T_{f} = 4 \times 273 = 1092 K$
$⟹ T_{f} = 1092 - 273 = 819^{o} C$

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Effect of Temperature on Speed of Sound in Gases

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