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JEE Advanced levelSingle correct optionDifficulty 3 of 3ig039

The density of a gas A at $300 K$ and $2 atm$ is equal to the density of gas B at $600 K$ and $1 atm$ . The ratio of molar masses $M_{A} : M_{B}$ is

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

Answer: A

d = \frac{PM}{RT}

. Equal densities:

\frac{2 M _{A}}{300} = \frac{1 \times M _{B}}{600}

, so

M_{A} / M_{B} = \frac{300}{2 \times 600} = \frac{1}{4}

.

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