A mixture of 1 mol N2 and 3 mol H2 (N=14, H=1) reacts by N2 + 3H2 -> 2NH3 until 25% of the N2 has reacted. The average molar mass of the resulting gas mixture is

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JEE Advanced levelSingle correct optionDifficulty 3 of 3mc103

A mixture of $1 mol$ $N X_{2}$ and $3 mol$ $H X_{2}$ ( $N = 14$ , $H = 1$ ) reacts by $N X_{2} + 3 H X_{2} 2 NH X_{3}$ until $25%$ of the $N X_{2}$ has reacted. The average molar mass of the resulting gas mixture is

A $9.71 g/mol$
B $8.50 g/mol$
C $9.07 g/mol$
D $7.56 g/mol$

Answer: A

Total mass = 28 + 6 = 34 g, conserved. Extent = 0.25 mol, so moles change by -2 x 0.25: total = 4 - 0.5 = 3.5 mol. Average molar mass = 34/3.5 = 9.71 g/mol.

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A mixture of 1 mol NX2​ and 3 mol HX2​ (N=14, H=1) reacts by NX2​+3HX2​​2NHX3​ until 25% of the NX2​ has reacted. The average molar mass of the resulting gas mixture is

Answer: A

More questions on Average molar mass of mixtures, vapour density

A mixture of $1 mol$ $N X_{2}$ and $3 mol$ $H X_{2}$ ( $N = 14$ , $H = 1$ ) reacts by $N X_{2} + 3 H X_{2} 2 NH X_{3}$ until $25%$ of the $N X_{2}$ has reacted. The average molar mass of the resulting gas mixture is