1.

The average speed of gas molecules is 400 m/sec. Calculate its rms speed at the same temperature.

Answer»

Solution :`U_(AV) =SQRT((8RT)/(PI M))"….(i)"`
`U_("rms") =sqrt((3RT)/(M))" ….(ii)`
`therefore` By EQS. (i) and (ii)
`U_("rms") = U_(AV) xx sqrt((3PI)/(8))`
`because U_(AV) =400" m sec"^(-1)`
`therefore U_("rms") =400xxsqrt((3xx3.14)/(8) =434" m sec"^(-1)`


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