A gas X diffuses three times faster than another gas Y under identical conditions. If and represent — States of Matter and Gaseous State Chemistry Question
Question
A gas X diffuses three times faster than another gas Y under identical conditions. If $D_X$ and $D_Y$ represent the vapour densities of gases X and Y respectively, calculate the exact integer value of the ratio $D_Y / D_X$.
Answer: 9
💡 Solution & Explanation
According to Graham's Law, $r_X / r_Y = \sqrt{D_Y / D_X}$. Given that $r_X = 3 \times r_Y$, we substitute to get $3 = \sqrt{D_Y / D_X}$. Squaring both sides yields $9 = D_Y / D_X$.
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