`U_(avg)` speed of `O_(2)` at `pi xx 10` bar pressure in a 8 litre container containg 2 moles is -

Options

A. `10^(3)` cm/sec
B. `sqrt10^(3)` m /sec
C. `10^(3)` m/sec
D. `sqrt(2 xx 10^(6))` m/sec

Answer

C

Explanation

`U_(avg) = sqrt((8RT)/(pi m))`
PV = nRT
`(RT)/(m) = (PV)/(w)`
`P = 10 xx pi xx 10^(5) pa`
`U_(avvg) = sqrt((8PV)/(pi w)) = sqrt((8 xx 10 xx pi 10^(5) xx 8)/(2 xx 32 xx pi)) = 10^(3) m//s`