A) 4 times that of He
B) 2 times that of He
C) 0.35 times that of He
D) 8 times that of helium
Correct Answer: C
Solution :
Key Idea According to Grahams law of diffusion The rates of diffusion of gases are inversely proportional to the square roots of their densities (or their molar masses)." \[\frac{{{r}_{1}}}{{{r}_{2}}}=\sqrt{\frac{{{D}_{2}}}{{{D}_{1}}}}=\sqrt{\frac{{{M}_{2}}}{{{M}_{1}}}}\] Here, \[{{M}_{He}}=4\] \[{{M}_{{{O}_{2}}}}=32\] \[\frac{{{r}_{{{O}_{2}}}}}{{{r}_{He}}}=\sqrt{\frac{{{M}_{He}}}{{{M}_{{{O}_{2}}}}}}\] \[=\sqrt{\frac{4}{32}}=\sqrt{\frac{1}{8}}=\frac{1}{2.83}=0.35\]
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