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Specific Heat Capacity

At what tempe...

Question

At what temperature is the velocity of sound in oxygen is equal to half its velocity in chlorine at $42$ ? The ratio of molecular weights of oxygen and chlorine is $(16 : 35)$

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Solution

$\frac{T_{1}}{m_{1}} = \frac{T_{2}}{m_{2}}$
$T_{1} = T_{2} (\frac{m_{1}}{m_{2}})$
$⟹ (273 + 42) (\frac{16}{35})$
$144 K = - 129 ° C$

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