Question on: JAMB Chemistry - 2017
The densities of two gases, X and Y are 0.5gdm-3 and 2.0gdm-3 respectively. What is the rate of diffusion of X relative to Y?
A
0.1
B
0.5
C
2.0
D
4.0
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Correct Option: C
The rate of dimension of a gas inversely proportional to the square root of its molecular mass or its density, which is Graham's Law of diffusion of gas.
R ∝ (\frac{1}{\sqrt{Mm}}) or R ∝ (\frac{1}{\sqrt{D}})
Dx = 0.5gdm-3, Dy = 2gdm-3
R= (\frac{K}{\sqrt{D}})
R(\sqrt{D}) = k
R1(\sqrt{D_1}) = R1(\sqrt{D_2})
Rx(\sqrt{D_x}) = Ry(\sqrt{D_y})
(\frac{R_x}{R_y}) = (\frac{\sqrt{D_y}}{\sqrt{D_x}})
= (\frac{\sqrt{2}}{\sqrt{0.5}})
= 2.0
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