Suppose a gas sample in all have `6xx10^(23)` molecules Each `1//3rd` of the molecules have rms speed `10^(4) cm//sec, 2 xx 10^(4) cm//sec` and `3 xx 10^(4) cm//sec` Calculate the rms speed of gas molecules in sample .

Suppose a gas sample in all have `6xx10^(23)` molecules Each `1//3rd`

1.	Suppose a gas sample in all have `6xx10^(23)` molecules Each `1//3rd` of the molecules have rms speed `10^(4) cm//sec, 2 xx 10^(4) cm//sec` and `3 xx 10^(4) cm//sec` Calculate the rms speed of gas molecules in sample .
Answer» `u_(rms) = sqrt((sumn_(1)u_(1)^(2))/(sumn)) =sqrt((u_(1)^(2) xx n_(1) + u_(2)^(2)xxn_(2)+u_(3)^(2)xxn_(3))/(n_(1)+n_(2)+n_(3)))` `:.u_(rms) =sqrt((2xx10^(23)xx(10^(4))+2xx10^(23)xx(2xx10^(4))^(2)+2xx10^(23)xx(3xx10^(4))^(2))/(6xx10^(23)))` `=2.16 xx 10^(4) cm//`sec .

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Suppose a gas sample in all have `6xx10^(23)` molecules Each `1//3rd` of the molecules have rms speed `10^(4) cm//sec, 2 xx 10^(4) cm//sec` and `3 xx 10^(4) cm//sec` Calculate the rms speed of gas molecules in sample .

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