TS EAMCET · Chemistry · States of Matter

$1 L$ each of gases $A$ and $B$ diffused through a membrane in $15$ and $30$ minutes, respectively, under identical conditions. What is the ratio of molecular weight of $A$ and $B ?$

A $1 : 2$
B $2 : 1$
C $4 : 1$
D $1 : 4$

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Answer & Solution

Correct Answer

(D) $1 : 4$

Step-by-step Solution

Detailed explanation

According to Graham’s Law, at constant pressure and temperature, molecules or atoms with lower molecular mass will effuse faster than the higher molecular mass molecules or atoms. Thomas even found out the rate at which they escape through diffusion. In other words, it…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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1 L each of gases A and B diffused through a membrane in 15 and 30 minutes, respectively, under identical conditions. What is the ratio of molecular weight of A and B?

Step-by-step Solution

$1 L$ each of gases $A$ and $B$ diffused through a membrane in $15$ and $30$ minutes, respectively, under identical conditions. What is the ratio of molecular weight of $A$ and $B ?$