The temperature at which the r.m.s. velocity of carbon dioxide becomes the same as that of nitrogen at `21^(@)C` is

Options

A. `462^(@)C`
B. `273 K`
C. `189^(@)C`
D. `546 K`

Answer

C

Explanation

`u_(CO_(2)) = ((3RT_(1))/(44))^(1//2)`
`u_(N_(2)) = ((3R xx 294)/(28))^(1//2)`
`((3RT_(1))/(44))^(1//2) = ((3R xx 294)/(28))^(1//2)`
or `T_(1) = 462 K " or " 189^(@)C`