Ammonia is synthesized industrially by the reaction In a pilot reactor

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

Ammonia is synthesized industrially by the reaction N2(g)+3 H2(g)→2 NH3(g)\text{N}_2 (g) + 3\,\text{H}_2 (g) \rightarrow 2\,\text{NH}_3 (g) In a pilot reactor, hydrogen gas is supplied in the amount of 1.50×10261.50\times10^{26} molecules, while nitrogen gas is simultaneously introduced at 60.0 g60.0\,\text{g}. The process achieves a 78.0%78.0\% yield of ammonia based on the limiting reactant. Avogadro’s number is NA=6.022×1023 mol−1N_A = 6.022\times10^{23}\,\text{mol}^{-1}. (a) Using the quantities provided, determine which reactant is limiting. Support your answer with calculations. (b) Calculate the theoretical mass of NH3\text{NH}_3 that could be formed from the limiting reactant. (c) Determine the actual mass of NH3\text{NH}_3 produced given the stated percent yield. (d) Convert the actual mass obtained in part (c) to the number of ammonia molecules formed.

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