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JEE Main levelSingle correct optionDifficulty 2 of 3ig185

Gas A (molar mass $M_{A}$ ) at $2 atm$ and gas B (molar mass $M_{B}$ ) at $1 atm$ effuse through identical pinholes at the same temperature at equal rates. Then $M_{A} / M_{B}$ is

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

Answer: A

Rate

\propto p / M

. Equal rates:

\frac{2}{M _{A}} = \frac{1}{M _{B}}

, so

M_{A} = 2 M_{B}

and

M_{A} / M_{B} = 4

.

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