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JEE · NEET Previous Year Question

$At 300 K, the density of a certain gaseous molecule at 2 bar is double to that of dinitrogen (N_{2}) at 4 bar. The molar mass of gaseous molecule is :$

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.

A $56 g m o l^{-1}$
B $112 g m o l^{-1}$
C $224 g m o l^{-1}$
D $28 g m o l^{-1}$

Correct answer: B

Solution

(b)d = \frac{P M}{R T} \Rightarrow \frac{d _{1}}{P _{1} M _{1}} = \frac{d _{2}}{P _{2} M _{2}} ∴ \frac{2 d}{2 \times M _{1}} = \frac{d}{4 \times 28} ∴ M_{1} = 112

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