Question #b5376

1 Answer
Mar 15, 2016

8.3997 x 10^25 atoms of Cu

Explanation:

  1. We need to balance the equation to determine the mole ratio of Cu against the Cu_3FeS_3;
  2. The balanced equation is:
    2Cu_3FeS_3 + 7O_2 -> 6Cu = 2FeO + 6SO_2
  3. Find the formula mass of bornite, by locating the atomic masses of the elements composing the copper ore, which is equal to 344 grams per mole;
  4. To start the calculation, you are provided with the mass of the raw material of 20 kg which has 80% purity. Meaning 80% of the raw material is bornite (copper ore). To find the mass of copper ore, multiply the mass by its purity; so that
    20 kg x 0.80=16 kg of pure bornite
  5. Convert the mass (kg) of pure bornite to grams to be consistent with the units being used in the formula mass; (16,000 grams)
  6. Again, 16,000 grams bornite will be converted to mole bornite by multiplying with the mole ratio reflected on the balanced equation above to arrive 139.53 mole Cu;
  7. Since 1 mol Cu=6.02 x 10^23 atoms Cu, multiply the answer in step 6 by the conversion factor taken from this equaivalent statement, which is (6.02 x 10^23 atms Cu)/(1 mol Cu);
  8. The answer is computed as 8.3997 x 10^25 atoms Cu