Pattern Copper

What mass of Cu(NH3)4Cl2 reagent is required?
In the production of printed circuit boards for the electronics industry, a 0.430 mm layer of copper is laminated onto an insulating plastic board. Next a circuit pattern made of a chemically resistant polymer is printed on the board. The unwanted copper is removed by chemical etching and the protective polymer is finally removed by solvents. One etching reaction is:
Cu(NH3)4Cl2 (aq) + 4NH3 (aq) + Cu(s) -> 2 Cu(NH3)4Cl(aq)
A plant needs to manufacture 7500 printed circuit boards, each 7.85cm x 11.5cm in area. An average of 90.5% of the copper is removed from each board (density of copper=8.96g/cm3.)
What mass of Cu(NH3)4Cl2 reagent is required?
The volume of copper per circuit board laminate is:
0.0430 cm * 7.85 cm * 11.5 cm = 3.88 cm³
The mass of the copper per circuit board laminate is:
(8.96 g/cm³) (3.88 cm³) = 34.78 g
The mass of the copper removed per circuit board laminate is:
0.905 * 34.78 g = 31.48 g
The mass of copper removed from 7500 circuit board laminates is:
31.48 g * 7500 = 236,077 g
The number of moles of Cu to be removed is:
(236,077 g) / (63.5 g/mol) = 3,718 moles.
The stoichiometric ratio is 1:1 between Cu(NH3)4Cl2 and Cu, so the same number of moles of Cu(NH3)4Cl2 is required. Since the molecular weight of Cu(NH3)4Cl2 is 202.5 g/mole, then:
(3,718 moles) * (202.5 g/mole) = 752,844 g of Cu(NH3)4Cl2 is needed. This corresponds to 753 kg, or about 0.75 metric tons.
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