Which of the following pair will diffuse at the same rate?
A$$\mathrm{CO_2}$$ and $$\mathrm{N_2O}$$
B$$\mathrm{CO_2}$$ and $$\mathrm{NO}$$
C$$\mathrm{CO_2}$$ and $$\mathrm{CO}$$
D$$\mathrm{N_2O}$$ and $$\mathrm{NO}$$
Answer & Solution
Correct answer: A. $$\mathrm{CO_2}$$ and $$\mathrm{N_2O}$$
By Graham's law, gases diffuse at the same rate when their molar masses are equal.
$$M(\mathrm{CO_2})=12+2\times 16=44$$
$$M(\mathrm{N_2O})=2\times 14+16=44$$
$$M(\mathrm{NO})=14+16=30$$
$$M(\mathrm{CO})=12+16=28$$
So the pair with equal molar mass is $\mathrm{CO_2}$ and $\mathrm{N_2O}$. On checking the options, this is option $A$.
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