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Colt1911 [192]
3 years ago
5

What is the % nitrogen by weight in 6.389 mol of ammonium sulfide? Answer in units of %.

Chemistry
1 answer:
Levart [38]3 years ago
7 0

42.36 %

<h3>Explanation</h3>

What's the formula of <em>ammonium sulfide</em>?

Consider the two ions:

  • Ammonium: {\text{NH}_4}^{+}.
  • Sulfide: \text{S}^{2-}.

The charge on each sulfide ion is twice that on each ammonium ion. You shall expect two ammonium ions for each sulfide ion:

  • Ammonium sulfide: (\text{NH}_4})_{\bf 2}\text{S}.

What's the mass of nitrogen in <em>one mole formula unit</em> of ammonium sulfide?

There are two moles of ammonium ions in one mole formula unit of (\text{NH}_4})_2\text{S}. There's one nitrogen atom in each ammonium ion. Therefore, there are two moles of nitrogen atoms in each mole formula unit of (\text{NH}_4})_2\text{S}.

Relative atomic mass from a modern periodic table:

  • Nitrogen: 14.007;
  • Hydrogen: 1.008;
  • Sulfur: 32.06.

The mass of that two moles of nitrogen atoms will be 14.007 \times 2 = 28.014 \; \text{g}.

What's the %mass of nitrogen in (\text{NH}_4})_2\text{S}?

(\text{NH}_4})_2\text{S} is an ionic compound. The composition of this compound shall be uniform throughout its ionic lattice. As a result, the percentage mass of nitrogen in 6.289 moles formula units of (\text{NH}_4})_2\text{S} shall be the same as that in one mole formula units of (\text{NH}_4})_2\text{S}. (However, finding the value in the case with one mole of the substance is likely easier.)

Now, what's the mass of one mole formula units of (\text{NH}_4})_2\text{S}?

M((\text{NH}_4})_2\text{S}) = 2 \times \underbrace{(14.007 + 3 \times 1.008)}_{\text{NH}_4} + \underbrace{32.06}_{\text{S}} = 66.122 \; \text{g} \cdot \text{mol}^{-1}.

m((\text{NH}_4})_2\text{S}) = n((\text{NH}_4})_2\text{S}) \cdot M((\text{NH}_4})_2\text{S}) = 66.126 \; \text{g}.

What the percentage mass of nitrogen in ammonium sulfide?

\% m(\text{N}) = \dfrac{m(\text{N})}{m((\text{NH}_4)_2\text{S})} \times 100\% = \dfrac{28.014}{66.122} \times 100\% = 42.37 \%.

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