Answer : The theoretical yield of copper is, 79.375 grams
Explanation : Given,
Mass of copper(II) sulfate = 200 g
Molar mass of copper(II) sulfate = 159.6 g/mole
Molar mass of copper = 63.5 g/mole
First we have to calculate the moles of [tex]CuSO_4[/tex].
[tex]\text{Moles of }CuSO_4=\frac{\text{Mass of }CuSO_4}{\text{Molar mass of }CuSO_4}=\frac{200g}{159.6g/mole}=1.25moles[/tex]
Now we have to calculate the moles of copper.
The balanced chemical reaction will be :
[tex]CuSO_4+Zn\rightarrow ZnSO_4+Cu[/tex]
From the balanced chemical reaction, we conclude that
As, 1 mole of [tex]CuSO_4[/tex] react to give 1 mole of [tex]Cu[/tex]
So, 1.25 moles of [tex]CuSO_4[/tex] react to give 1.25 moles of [tex]Cu[/tex]
Now we have to calculate the mass of Cu.
[tex]\text{Mass of }Cu=\text{Moles of }Cu\times \text{Molar mass of }Cu[/tex]
[tex]\text{Mass of }Cu=(1.25mole)\times (63.5g/mole)=79.375g[/tex]
Therefore, the theoretical yield of copper is, 79.375 grams
