Question

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

Answer 1

Correct Answer - C
`C^(**)=` most probable speed `=sqrt((2RT)/(M))`
`bar(C) = ` average speed `= sqrt((8RT)/(piM))`
`C=` Mean square speed corrected as rms `= sqrt((3RT)/(M))`
`C^(**) lt bar(C) lt C`
`C^(**) : bar(C) : C =1 : sqrt((4)/(pi)) : sqrt((3)/(2))= 1:1.128 : 1.225`
Note `:` As no option correspond to mean square speed, it is understood as misprint. It should be root mean square speed.