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  • The ratio of the speed of sound in nitrogen gas to that in helium gas, at is<div cl

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 \mathrm{~K} is

Option: 1

\sqrt{\left(\frac{2}{7}\right)}


Option: 2

\sqrt{\left(\frac{1}{7}\right)}


Option: 3

\frac{\sqrt{3}}{5}


Option: 4

\frac{\sqrt{6}}{5}


Answers (1)

best_answer

Speed of sound in a gas

\mathrm{v=\sqrt{\frac{\gamma R T}{M}}}

\mathrm{\frac{V_{\mathrm{N}_{2}}}{V_{\mathrm{He}}}=\sqrt{\frac{\gamma_{\mathrm{N}_{2}}}{\gamma_{\mathrm{He}}} \times \frac{M_{\mathrm{He}}}{M_{\mathrm{N}_{2}}}}=\sqrt{\frac{(7 / 5)}{(5 / 3)} \times \frac{4}{28}}=\frac{\sqrt{3}}{5}}

Posted by

Suraj Bhandari

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