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. `overset(.)(C) : bar(C) : C= 1 : 1.128 : 1.225`
B. `overset(.)(C) : bar(C) : C = 1 : 1.225 : 1.128`
C. `overset(.)(C) : bar(C) : C = 1.225 : 1.128 : 1`
D. `overset(.)(C) : bar(C) : C = 1.128 : 1.225 : 1`

Answer

A

Explanation

`overset(.)(C) : bar(C) : C = sqrt((2RT)/(m)) : sqrt((8RT)/(pi m)) : sqrt((3RT)/(m))`
`= sqrt2 : sqrt((8)/(pi)) : sqrt3`
`= 1.414 : 1.596 : 1.732`
`= 1 : 1.128 : 1.225`