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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3mc218

A mixture contains $8 g$ $CH X_{4}$ , $32 g$ $SO X_{2}$ and $14 g$ $N X_{2}$ (C = 12, H = 1, S = 32, O = 16, N = 14; 22.4 L/mol at STP). Select the correct statement(s).

AThe mole fraction of $SO X_{2}$ is $\frac{1}{3}$ .
BThe average molar mass is $36 g mo l^{- 1}$ .
CThe mass percentage of $N X_{2}$ is $35.0%$ .
DThe mixture occupies $33.6 L$ at STP.

Answer: A, B, D

Moles: CH4 0.50, SO2 0.50, N2 0.50, total 1.50 mol and total mass 54 g. M(avg) = 54/1.5 = 36; x(SO2) = 1/3; volume = 1.5 x 22.4 = 33.6 L. Mass % of N2 = 14/54 x 100 = 25.9%, not 35.0%.

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