In given diatomic gas sound travels at 300m/sec. The root mean square velocity of the molecules of the gas isa)4m/sec.b)40m/secc)438m/secd)43900m/sec
In given diatomic gas sound travels at 300m/sec. The root mean square velocity of the molecules of the gas is
a)4m/sec.
b)40m/sec
c)438m/sec
d)43900m/sec
Karan Shinde , 9 Years ago
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![[v=\sqrt{\gamma P/\rho }] PM=\rho RT P/\rho =RT/M \Rightarrow v=\sqrt{\gamma RT/M} \Rightarrow RT/M=v^{2}/\gamma V_{rms}=\sqrt{3RT/M} \Rightarrow V_{rms}=\sqrt{3v^{2}/\gamma } Vrms=439.155 m/s](https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latexv_sqrt_gammap_rhopm_rhortp_rhortm_rightarrowv_sqrt_gammartm_rightarrowrtmv2_gammav_rms_sqrt3rtm_rightarrowv_rms_sqrt3v2_gammavrms439.155ms.jpg)
