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The densities of two gases, X and Y are 0.5gdm-3 and 2.0gdm-3 respectively. What is...

Chemistry
JAMB 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 Answer: Option C
Explanation
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

There is an explanation video available below.


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Explanation Video

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