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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

Karan Shinde , 9 Years ago

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3 Answers

Aziz Alam

Last Activity: 9 Years ago

$v=\sqrt{\gamma P/\rho }$ velocity of sound in a gas

$PM=\rho RT$

$P/\rho =RT/M$

$\Rightarrow v=\sqrt{\gamma RT/M}$

$\Rightarrow RT/M=v^{2}/\gamma$

$V_{rms}=\sqrt{3RT/M}$

$\Rightarrow V_{rms}=\sqrt{3v^{2}/\gamma }$

V_rms=439.155 m/s

Aziz Alam

Last Activity: 9 Years ago

$[v=\sqrt{\gamma P/\rho }]$ velocity of sound in a gas

$PM=\rho RT$

$P/\rho =RT/M$

$\Rightarrow v=\sqrt{\gamma RT/M}$

$\Rightarrow RT/M=v^{2}/\gamma$

$V_{rms}=\sqrt{3RT/M}$

$\Rightarrow V_{rms}=\sqrt{3v^{2}/\gamma }$

Vrms=439.155 m/s

Karan Shinde

Last Activity: 9 Years ago

thank you.

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