The following two reactions are possible methods for refining copper in the final step of a smelting process, i.e., getting pure copper (Cu) from copper ores found in rocks. Calculate the theoretical atom economy for each reaction. a. 2 CuO(s) + C(s) → 2 Cu(s) + CO2(g) = % b. CuO(s) + CO(g) → Cu(s) + CO2(g) = %

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kobenhavn kobenhavn · Answer 1 · 2019-08-28T06:49:52+02:00

Answer: a) 74%

b) 59%

Explanation:

Atom economy gives how much desired product is obtained compared to amount of starting materials.

[tex]\text {Atom economy}=\frac{\text {molecular weight of desired product}}{\text {molecular weight of all products}}\times 100%[/tex]

For reaction a:

[tex]2CuO(s)+C(s)\rightarrow 2Cu(s)+CO_2(g)[/tex]

[tex]\text {atom economy of copper}=\frac{\text {molecular weight of desired product}}{\text {molecular weight of all products}}\times 100%[/tex]

[tex]\text {atom economy of copper}=\frac{2\times 63.5}{2\times 63.5+12+2\times 16}\times 100%=74\%[/tex]

For reaction b:

[tex]CuO(s)+CO(g)\rightarrow Cu(s)+CO_2(g)[/tex]

[tex]\text {atom economy of copper}=\frac{\text {molecular weight of desired product}}{\text {molecular weight of all products}}\times 100%[/tex]

[tex]\text {atom economy of copper}=\frac{63.5}{2\times 63.5+12+2\times 16}\times 100%=59\%[/tex]

Thus atom economy for reaction a is 74% and reaction b is 59%.