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2.8 g of N2(g) and 0.8 g of H2(g) are allowed to react completely. What is the mass of NH3(g) formed? (molar mass of N2(g)=28, H2(g)=2 and NH3(g)=17)

  • A.3.6 g
  • B.3.4 g
  • C.3.2 g
  • D.3.0 g
  • E.3.8 g

Answer: B

The mass of ammonia formed is 3.4 g.

\(\text{N}_{2} + 3\text{H}_{2} \rightarrow 2\text{NH}_{3}\). The moles are \(\frac{2.8}{28} = 0.1\) of nitrogen and \(\frac{0.8}{2} = 0.4\) of hydrogen.

0.1 mol of nitrogen needs only 0.3 mol of hydrogen, so nitrogen is the limiting reagent.

\[ \begin{aligned} n(\text{NH}_{3}) &= 2 \times 0.1 = 0.2\ \text{mol} \\ m &= 0.2 \times 17 = 3.4\ \text{g} \end{aligned} \]

3.6 g would be the total mass of the reactants, which is more than can react because 0.1 mol of hydrogen is left over.

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