Calculate the root mean square velocity of ozone kept in a closed vessel at `20^(@)C` and `82 cm Hg` pressure.

Explanation

Volume occupied by 1 mol of `O_(3)` at `20^(@)C` and 82 mm pressure is calculated by applying general gas equation.
`(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))`
`thereforeV_(2)=(P_(1)V_(1)T_(2))/(T_(1)P_(2))=(76xx22400xx293)/(273xx82)=22281.92cm^(3)`
Now `u=sqrt((3PV)/(M))`
`u=sqrt((3xx82xx13.6xx981xx22281.92)/(48))`
`=3.90xx10^(4)cms^(-1)`