90.8 litres of a mixture of nitrogen and hydrogen measured at STP were passed over a catalyst. After the reaction, the volume of the mixture reduced to 68.1 litres. Ammonia thus formed was dissolved in 101 mI of an aqueous ammonia solution of density of 0.85 g/mI containing 12% by mass of ${NH}_{4} OH$ . Determine the percent weight strength of the final solution.
[Give answer excluding decimal places]

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answer is 44.

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Detailed Solution

$\begin{array}{l} N_{2} + 3 H_{2} \to 2 {NH}_{3} \\ a \\ - 2 a \\ V . C = 2 a = 90.8 - 68.1 = 22.7 L \\ % w / w = \{\frac{[101 \times 0.85 \times \frac{12}{100} + 35]}{[{101 \times 0.85 + 17]}\} \times 100 = 38.11 % \end{array}$

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