The molar mass of the unknown gas is determined as 17.75 g.
Rate of gas diffusion
The rate of gas diffusion is given by Graham's law.
R₁√M₁ = R₂√M₂
where;
- R₁ is the rate of diffusion of the unknown gas
- M₁ is the molecular mass of the unknown gas
- R₂ is rate of diffusion of chlorine gas
- M₂ is the molecular mass of chlorine gas
[tex]\frac{R_1}{R_2} = \sqrt{\frac{M_2}{M_1} } \\\\\frac{2R_2}{R_2} = \sqrt{\frac{71}{M_1} }\\\\2 = \sqrt{\frac{71}{M_1} }\\\\2^2 = \frac{71}{M_1} \\\\M_1 = \frac{71}{4} \\\\M_1 = 17.75 \ g[/tex]
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