Question

An unknown gas effuses at a rate of 2.0 times the rate of Cl₂. What is the molar mass of the unknown gas?

Answer 1

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

$\frac{R_1}{R_2} = \sqrt{\frac{M_2}{M_1} } \\\\\frac{2R_2}{R_2} = \sqrt{\frac{71}{M_1} }\\\\2 = \sqrt{\frac{71}{M_1} }\\\\2^2 = \frac{71}{M_1} \\\\M_1 = \frac{71}{4} \\\\M_1 = 17.75 \ g$

Learn more about rate of diffusion here:  brainly.com/question/11197959

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