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When 19.0 g of copper reacted with nitrogen, 20.45 g of copper nitride were produced - Leaving Cert Chemistry - Question e - 2015

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When 19.0 g of copper reacted with nitrogen, 20.45 g of copper nitride were produced. Deduce the empirical formula of copper nitride.

Worked Solution & Example Answer:When 19.0 g of copper reacted with nitrogen, 20.45 g of copper nitride were produced - Leaving Cert Chemistry - Question e - 2015

Step 1

Calculate moles of copper

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Answer

To find the number of moles of copper, we use the formula:

Moles=massmolar mass\text{Moles} = \frac{\text{mass}}{\text{molar mass}}

The molar mass of copper (Cu) is approximately 63.5 g/mol. Therefore,

Moles of Cu=19.0 g63.5 g/mol0.299 moles0.3 moles\text{Moles of Cu} = \frac{19.0 \text{ g}}{63.5 \text{ g/mol}} \approx 0.299 \text{ moles} \approx 0.3 \text{ moles}

Step 2

Calculate moles of nitrogen

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Answer

Next, we calculate the moles of nitrogen in copper nitride (Cu_xN_y). First, we find the mass of nitrogen in the compound:

Mass of nitrogen = Total mass of copper nitride - Mass of copper

20.45 g19.0 g=1.45 g20.45 \text{ g} - 19.0 \text{ g} = 1.45 \text{ g}

Now, we convert the mass of nitrogen to moles:

The molar mass of nitrogen (N) is approximately 14 g/mol. Thus,

Moles of N=1.45 g14 g/mol0.1036 moles0.10 moles\text{Moles of N} = \frac{1.45 \text{ g}}{14 \text{ g/mol}} \approx 0.1036 \text{ moles} \approx 0.10 \text{ moles}

Step 3

Determine the simplest ratio

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Answer

Now, we have the moles for copper and nitrogen:

  • Moles of Cu = 0.3
  • Moles of N = 0.10

To find the simplest mole ratio, we divide each by the smallest number of moles:

0.3 moles Cu0.10=3\frac{0.3 \text{ moles Cu}}{0.10} = 3
0.10 moles N0.10=1\frac{0.10 \text{ moles N}}{0.10} = 1

Thus, the ratio of copper to nitrogen is 3:1. Therefore, the empirical formula for copper nitride is:

Cu₃N

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