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JEE Main levelSingle correct optionDifficulty 2 of 3ig018

The time taken for a certain volume of gas A to effuse through a pinhole is $t$ . The same volume of gas B takes $2 t$ under identical conditions. If the molar mass of A is $M$ , the molar mass of B is

A $2 M$
B $M /2$
C $4 M$
D $M /4$

Answer: C

Rate is inversely proportional to time for a fixed volume:

\frac{r _{A}}{r _{B}} = \frac{t _{B}}{t _{A}} = 2 = \frac{M _{B}}{M _{A}}

. Hence

M_{B} = 4 M_{A} = 4 M

.

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