Question

Compute the relative rate of diffusion of chlorine (Cl2) to hydrogen (H2).

Answer 1

Answer on Question #50052, Chemistry, Other

**Task:**

Compute the relative rate of diffusion of chlorine (Cl₂) to hydrogen (H₂).

**Answer:**

To solve this task a Graham's law must be applied.

$$\text{Rate}_{\text{diffusion}} \propto \frac{1}{\sqrt{\text{MM}}}$$

According to it:

$$\frac{\text{Rate} \left(Cl_2\right)^2}{M \left(Cl_2\right)} = \frac{\text{Rate} \left(H_2\right)^2}{M \left(H_2\right)}$$ $$M \left(Cl_2\right) = 71\,g/mol$$ $$M \left(H_2\right) = 2\,g/mol$$ $$\text{Rate ratio} = \sqrt{\frac{M \left(H_2\right)}{M \left(Cl_2\right)}} = \sqrt{\frac{2}{71}} = 0.168$$

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