If gas contains only three molecules that move with velocities of 100, 200, 500. What is the RMS velocity of the gas in m s-1?

Question

If gas contains only three molecules that move with velocities of 100, 200, 500. What is the RMS velocity of the gas in m s-1? (A) 100√(8/3) (B) 100√30 (C) 100√10 (D) (800/3)

Tardigrade Admin · Accepted Answer

RMS velocity =√(c21+c22+c23+.../n1+n2+n3...) RMS velocity =√((100)2+(200)2+(500)2/3)=√105 =100√10

Q. If gas contains only three molecules that move with velocities of $100, 200, 500$ . What is the $RMS$ velocity of the gas in $m s^{- 1}$ ?

$100 \frac{8}{3}$

$10030$

$10010$

$\frac{800}{3}$

$RMS$ velocity $= \frac{c _{1}^{2} + c _{2}^{2} + c _{3}^{2} + ...}{n _{1} + n _{2} + n _{3} ...}$
$RMS$ velocity $= \frac{( 100 ) ^{2} + ( 200 ) ^{2} + ( 500 ) ^{2}}{3} = 1 0^{5}$
$= 10010$

Q. If gas contains only three molecules that move with velocities of 100,200,500. What is the RMS velocity of the gas in ms−1?

10038​​

10030​

10010​

3800​