The gas having average speed four times as that of SO2 (molecular mass 64 ) is

Question

The gas having average speed four times as that of SO2 (molecular mass 64 ) is (A)  He (molecular mass 4 ) (B)  O2 (molecular mass 32 ) (C)  H2 (molecular mass 2 ) (D)  CH4 (molecular mass 16 )

Tardigrade Admin · Accepted Answer

Average speed (vav) of gas molecules is inversely proportional to the square root of the absolute temperature (T) of the gas vav = √(8RT/π M) where R is gas constant and M the molecular weight. Given, v1 = v, M1 = 64, v2 = 4v ∴ (v1/v2) = √(M2/M1) (v/4v) = √(M2/64) ⇒ M2 = (64/16) = 4 Hence, the gas is helium (molecular mass 4).

Q. The gas having average speed four times as that of $S O_{2}$ (molecular mass $64$ ) is

$He$ (molecular mass $4$ )

$O_{2}$ (molecular mass $32$ )

$H_{2}$ (molecular mass $2$ )

$C H_{4}$ (molecular mass $16$ )

Q. The gas having average speed four times as that of SO2​ (molecular mass 64 ) is

He (molecular mass 4 )

O2​ (molecular mass 32 )

H2​ (molecular mass 2 )

CH4​ (molecular mass 16 )

Q. The gas having average speed four times as that of $S O_{2}$ (molecular mass $64$ ) is

$He$ (molecular mass $4$ )

$O_{2}$ (molecular mass $32$ )

$H_{2}$ (molecular mass $2$ )

$C H_{4}$ (molecular mass $16$ )