[Four-digit Integer] A volume of 100 ml of hydrogen were confined in a diffusion tube and exposed to β States of Matter and Gaseous State Chemistry Question
Question
[Four-digit Integer] A volume of 100 ml of hydrogen were confined in a diffusion tube and exposed to air and at equilibrium a volume of 26 ml of air was measured in the tube. Again, when 100 ml of an unknown gas were placed in the same tube and exposed to air, 130 ml of air were measured in the tube at the equilibrium. The molecular mass of the unknown gas is
![Chemistry diagram for: [Four-digit Integer] A volume of 100 ml of hydrogen were confined in a diffusion tube and exposed to air and at equilibr](https://urywdhpqdpvmqzlenttu.supabase.co/storage/v1/object/public/question-images/nk/ch03_exII_Q14.png)
Answer: 0050
π‘ Solution & Explanation
Graham's law: $V_{air}\propto\sqrt{M_{gas}}$. $\frac{26}{130}=\frac{\sqrt{2}}{\sqrt{M_x}} \Rightarrow \frac{1}{25}=\frac{2}{M_x} \Rightarrow M_x=50$ g/mol. Answer: $\boxed{0050}$
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