The speed of sound in oxygen at S.T.P. will b | vedclass

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(D) The speed of sound in an ideal gas is given by the formula $v = \sqrt{\frac{\gamma RT}{M}}$.At $S.T.P.$,the temperature $T = 273 	ext{ K}$.The mo

Vedclass · Accepted Answer

$315$

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(D) The speed of sound in an ideal gas is given by the formula $v = \sqrt{\frac{\gamma RT}{M}}$.At $S.T.P.$,the temperature $T = 273 	ext{ K}$.The molar mass of oxygen $(O_2)$ is $M = 32 	imes 10^{-3} 	ext{ kg/mol}$.Given $\gamma = 1.4$ and $R = 8.3 	ext{ J K}^{-1} 	ext{mol}^{-1}$.Substituting these values into the formula:$v = \sqrt{\frac{1.4 	imes 8.3 	imes 273}{32 	imes 10^{-3}}}$$v = \sqrt{\frac{3171.06}{0.032}}$$v = \sqrt{99095.625}$$v \approx 314.79 	ext{ m/s}$.Rounding to the nearest integer,we get $v \approx 315 	ext{ m/s}$.

The speed of sound in oxygen at $S.T.P.$ will be approximately: (Given,$R=8.3 \text{ J K}^{-1} \text{mol}^{-1}, \gamma=1.4$) (in $\text{ m/s}$)

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