The chemical formula of the gas is Xe
Molar mass of H2 (M₂) = 2 g/mol
Rate of diffusion of H2 (r₂) = ?
Rate of diffusion of X (r₁) = 0.124r₂
molar mass of X (M₁) = ?
To calculate the molar mass of X we use graham's law of diffusion
[tex]\frac{r1}{r2} = \sqrt{\frac{M2}{M1} }[/tex]
[tex]\frac{0.124r2}{r2} = \sqrt{\frac{2}{M1} }[/tex]
[tex]{0.124} = \sqrt{\frac{2}{M1} }[/tex]
0.015 = 2 / M₁
M₁ = 2 / 0.015
M₁ = 133.3
133 is near 131.293 g/mol, which is the molar mass of xenon (Xe)
Therefore the chemical formula of the gas HX is Xe.
Complete question:
A gas made up of atoms escapes through a pinhole 0.124 times as fast as H2 gas. write the chemical formula of the gas.
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