The ratio of densities of nitrogen and oxygen is $14:16.$ The temperature at which the speed of sound in nitrogen will be same at that in oxygen at $55^oC$ is ..... $^oC$
Medium
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$v = \sqrt {\frac{{\gamma \,RT}}{M}} $
$\Rightarrow \frac{{{T_N}}}{{{T_0}}} = \frac{{{M_N}}}{{{M_0}}}$
$\Rightarrow \frac{{{T_N}}}{{273 + 55}} = \frac{{14}}{{16}} = \frac{7}{8}$
$\Rightarrow {T_N} = 287K = 14 \,^oC$
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