When rate of diffusion (), pressure (), and molecular mass () are considered, the ratio of the rates — States of Matter and Gaseous State Chemistry Question
Question
When rate of diffusion ($r$), pressure ($P$), and molecular mass ($M$) are considered, the ratio of the rates of diffusion of two gases A and B ($r_A/r_B$) under different initial pressures but identical temperatures is mathematically given by which expression?
Answer: B
💡 Solution & Explanation
According to the general form of Graham's Law of Effusion, the rate of effusion $r \propto P / \sqrt{M}$ at constant temperature and orifice area. Therefore, comparing two gases A and B gives $r_A/r_B = (P_A/P_B) \times \sqrt{M_B/M_A}$.
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