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Question

According to Graham's law, at a given temperature the ratio of the rates of diffusion rArB of gases A and B is given by: (where p and M are pressures and molecular weights of gases A and B respectively)

A
(PAPB)(MAMB)12
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B
(MAMB)(PAPB)12
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C
(PAPB)(MBMA)12
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D
(MAMB)(PBPA)12
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Solution

The correct option is C (PAPB)(MBMA)12
According to the Graham's law of diffusion, the rates of diffusion of two gases are directly proportional to their partial pressures and inversely proportional to their molecular weights.
The expression for the relative rates of diffusion of two gases is rArB=(PAPB)(MBMA)12.
Here, rA and rB are the rates of diffusion of two gases A and B respectively,
PA and PB are their partial pressures and MA and MB are their molecular weights respectively.

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