For gaseous state, if most probable speed is denoted by `C^(**)` average speed by `barC` and root square speed by `C`, then for a large number of molecules, the ratios of these speeds are

Options

A. `C^(**) : barC : C = 1 : 1.225 : 1.128`
B. `C^(**) : barC : C = 1.225 : 1.128 : 1`
C. `C^(**) : barC : C = 1.128 : 1 : 1.225`
D. `C^(**) : barC : C = 1 : 1.128 : 1.225`

Answer

D

Explanation

`C^(*):barC:C=sqrt((2RT)/(M)) = sqrt((8RT)/(piM)) = sqrt((3RT)/(M))`
`= sqrt(2) : sqrt((8)/(3.142)) : sqrt(3)`
`1:1.128:1.225`