Question

If at stp velocity of sound in a gas is 600m/s the rms velocity of the gas molecule at stp will be

Answer 1

The rms velocity of the gas at stp is 651.07 m/s.

Explanation :

We know that ,

average velocity, Cav = $\sqrt{\frac{8RT}{\pi M} }$

and,

rms velocity, Crms = $\sqrt{\frac{3RT}{M} }$

Hence, dividing both the equation we get

Crms/Cav = $\sqrt{\frac{3\pi }{8} }$

= 1.085

=> Crms = 1.085 x Cav

= 1.085 x 600

= 651.07 m/s

Hence the rms velocity of the gas at stp is 651.07 m/s.

Answer 2

The solution is provided in the attachment.

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