If gas A has a molar mass of 32 g mol and gas B... - JAMB Chemistry 2023 Question
If gas A has a molar mass of 32 g/mol and gas B has a molar mass of 64 g/mol, what is the ratio of their diffusion rates?
A
2:1
B
1:2
C
1:1
D
1:4
correct option: a
According to Graham's law of diffusion, the ratio of the diffusion rates of two gases is the inverse of the square root of the ratio of their molar masses. Therefore:
\[ \text{Rate of A : Rate of B} = \sqrt{\frac{\text{Molar mass of B}}{\text{Molar mass of A}}} \]
Given:
- Molar mass of A (\(M_A\)) = 32 g/mol
- Molar mass of B (\(M_B\)) = 64 g/mol
\[ \text{Rate of A : Rate of B} = \sqrt{\frac{64 \, \text{g/mol}}{32 \, \text{g/mol}}} = \sqrt{2} \]
So, the correct ratio of their diffusion rates is approximately 2:1.
Please share this, thanks:
Add your answer
No responses