Respuesta :
Answer: The mass of copper produced is 7.12 grams
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] .....(1)
Given mass of copper (I) sulfide = 8.80 g
Molar mass of copper (I) sulfide = 156.2 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of copper (I) sulfide}=\frac{8.80g}{156.2g/mol}=0.056mol[/tex]
The chemical equation for the reaction of copper (I) sulfide and oxygen gas follows:
[tex]Cu_2S+O_2\rightarrow 2Cu+SO_2[/tex]
By Stoichiometry of the reaction:
1 mole of copper (I) sulfide produces 2 moles of copper
So, 0.056 moles of copper (I) sulfide will produce = [tex]\frac{2}{1}\times 0.056=0.112mol[/tex] of copper
Now, calculating the mass of copper from equation 1, we get:
Molar mass of copper = 63.55 g/mol
Moles of copper = 0.112 moles
Putting values in equation 1, we get:
[tex]0.112mol=\frac{\text{Mass of copper}{63.55g/mol}\\\\\text{Mass of copper}=(0.112mol\times 63.55g/mol)=7.12g[/tex]
Hence, the mass of copper produced is 7.12 grams