Question

Compute the relative rate of diffusion of phosphine (PH3) to methane (CH4)

Answer 1

Answer on Question #50051, Chemistry, Other

**Task:**

Compute the relative rate of diffusion of phosphine (PH₃) to methane (CH₄)

**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:

$$\frac{\text{Rate} \left( PH_3 \right)^2}{M \left( PH_3 \right)} = \frac{\text{Rate} \left( CH_4 \right)^2}{M \left( CH_4 \right)}$$ $$M \left( PH_3 \right) = 34\,g/mol$$ $$M \left( CH_4 \right) = 16\,g/mol$$ $$\text{Rate ratio} = \sqrt{\frac{M \left( CH_4 \right)}{M \left( PH_3 \right)}} = \sqrt{\frac{16}{34}} = 0.686$$

http://www.AssignmentExpert.com/