Question

An ideal gas consists of a large number of identical molecules. Absolute temperature of the gas is T(in kelvin). Molecular weight of gas is `M` and `R` is gas constant. Mathch the proper entries from column-2 to column-1 using the codes given below the columns. `{:("Column"-1,"Column"-II),((P)"Root mean square speed of molecules is greater than",(1)sqrt((RT)/(M))),((Q)"Most probable speed of molecues is smaller than",(2)1.5sqrt((RT)/(M))),((R)"Average velocity of a molecule is smaller than",(3)2sqrt((RT)/(M))),((S)"Speed of a molecule may be greater than",(4)2.5sqrt((RT)/(M))):}`
A. `{:(p,q,r,s),(2,1,3,4):}`
B. `{:(p,q,r,s),(3,1,4,2):}`
C. `{:(p,q,r,s),(1,3,2,4):}`
D. `{:(p,q,r,s),(4,2,3,1):}`

Answer 1

Root mean square speed of molecules `=sqrt((3RT)/(M))=1.732sqrt((RT)/(M))`
Most probable speed of molecures `=sqrt((2RT)/(M))=1.44sqrt((RT)/(M))`
Average velocity of a molecule is zero
Speed of any individual molecule may be anything.