At constant volume and temperature conditions, the rate of diffusion DA and DB of gases A and B having densities ρA and ρB are related by the expression

Question

At constant volume and temperature conditions, the rate of diffusion DA and DB of gases A and B having densities ρA and ρB are related by the expression (A) DA= [DB. (ρA/ρB)]1/ 2 (B) DA= [DB. (ρB/ρA)]1 /2 (C) DA=DB ((ρA/ρB))1/ 2 (D) DA=DB ((ρB/ρA))1 /2

Tardigrade Admin · Accepted Answer

(DA/DB)=√(ρB/ρA)=[(ρB/ρA)](1/2) ∴ DA=DB ((ρB/ρA))(1/2)

Q. At constant volume and temperature conditions, the rate of diffusion $D_{A}$ and $D_{B}$ of gases $A$ and $B$ having densities $ρ_{A}$ and $ρ_{B}$ are related by the expression

$D_{A} = [D_{B} . \frac{ρ _{A}}{ρ _{B}}]^{1/2}$

$D_{A} = [D_{B} . \frac{ρ _{B}}{ρ _{A}}]^{1/2}$

$D_{A} = D_{B} (\frac{ρ _{A}}{ρ _{B}})^{1/2}$

$D_{A} = D_{B} (\frac{ρ _{B}}{ρ _{A}})^{1/2}$

$\frac{D _{A}}{D _{B}} = \frac{ρ _{B}}{ρ _{A}} = [\frac{ρ _{B}}{ρ _{A}}]^{\frac{1}{2}}$
$∴ D_{A} = D_{B} (\frac{ρ _{B}}{ρ _{A}})^{\frac{1}{2}}$

Q. At constant volume and temperature conditions, the rate of diffusion DA​ and DB​ of gases A and B having densities ρA​ and ρB​ are related by the expression

DA​=[DB​.ρB​ρA​​]1/2

DA​=[DB​.ρA​ρB​​]1/2

DA​=DB​(ρB​ρA​​)1/2

DA​=DB​(ρA​ρB​​)1/2

DB​DA​​=ρA​ρB​​​=[ρA​ρB​​]21​ ∴DA​=DB​(ρA​ρB​​)21​