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Q.

The ratio of densities of $O_{2}$ and $N_{2}$ is 16:14. The temperature at which speed of sound in oxygen will be same as in nitrogen at $14^{0} C$ is

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a

$55^{0} C$

b

$156^{0} C$

c

$328^{0} C$

d

$427^{0} C$

answer is D.

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Detailed Solution

$V_{O_{2}} = V_{N_{2}}$

$\sqrt{\frac{γ R T}{32}} = \sqrt{\frac{γ R (287)}{28}}$

$T = \frac{32 \times 287}{28}$

$T = 328 K$

$t = 55^{0} C$

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