1) Balanced chemical reaction 1: 2CuFeS₂ + 3O₂ → 2CuS + 2FeO + 2SO₂.
Balanced chemical reaction 2: 2FeO + SiO₂ → 2FeSiO₃.
Balanced chemical reaction 3: 2CuS → Cu₂S + S.
Balanced chemical reaction 4: Cu₂S + S + O₂ → 2Cu + 2SO₂.
m(Cu) = 3.0 g; mass of copper in one penny.
n(Cu) = m(Cu) ÷ M(Cu).
n(Cu) = 3 g ÷ 63.55 g/mol.
n(Cu) = 0.047 mol; amount of copper in one penny.
2) From chemical reaction 4: n(Cu) : n(Cu₂S) = 2 : 1.
n(Cu₂S) = 0.047 mol ÷ 2.
n(Cu₂S) = 0.0236 mol; amount of copper(I) sulfide.
From chemical reaction 3: n(Cu₂S) : n(CuS) = 1 : 2.
n(CuS) = n(Cu₂S) · 2.
n(CuS) = 0.047 mol; amount of copper(II) sulfide.
From balanced reaction 1: n(CuS) : n(CuFeS₂) = 2 : 2 (1 : 1).
n(CuFeS₂) = 0.047 mol; amount of chalcopyrite.
m(CuFeS₂) = n(CuFeS₂) · M(CuFeS₂).
m(CuFeS₂) = 0.047 mol · 183.54 g/mol.
m(CuFeS₂) = 8.67 g; mass for one penny.
m(CuFeS₂) = 8.66 g · 100 = 867.02 g; for 100 pennies.
3) From balanced chemical reactions: n(Cu) : n(CuFeS₂) = 1 : 1.
n(CuFeS₂) = 0.047 mol.
ω(CuFeS₂) = 80.00% ÷ 100%.
ω(CuFeS₂) = 0.800; a percent yield of chemical reaction 1.
m(CuFeS₂) = 0.047 mol · 183.54 g/mol ÷ 0.800.
m(CuFeS₂) = 10.83 g; mass of chalcopyrite for one penny.
m(CuFeS₂) = 10.83 g · 100.
m(CuFeS₂) = 1083.75 g; mass of chalcopyrite for 100 pennies.
4) From chemical reaction 4: n(Cu) : n(Cu₂S) = 2 : 1.
n(Cu₂S) = 0.047 mol ÷ 2.
n(Cu₂S) = 0.0236 mol ÷ 0.8.
n(Cu₂S) = 0.0295 mol; amount of copper(I) sulfide with 80.0% yield.
From chemical reaction 3: n(Cu₂S) : n(CuS) = 1 : 2.
n(CuS) = n(Cu₂S) · 2 ÷ 0.80.
n(CuS) = 0.07375 mol; amount of copper(II) sulfide with 80.0% yield.
From balanced reaction 1: n(CuS) : n(CuFeS₂) = 2 : 2 (1 : 1).
n(CuFeS₂) = 0.07375 ÷ 0.80.
n(CuFeS₂) = 0.0922 mol; amount of chalcopyrite with 80.0% yield.
m(CuFeS₂) = n(CuFeS₂) · M(CuFeS₂).
m(CuFeS₂) = 0.0922 mol · 183.54 g/mol.
m(CuFeS₂) = 16.92 g; mass for one penny.
m(CuFeS₂) = 16.92 g · 100 = 1692.0 g; for 100 pennies.