Question

How much copper can be obtained from 100 g of Copper Sulphate $\left( {CuS{O_4}} \right)$?

Answer 1

Hint – We will solve this question by step by step, defining mole, atomic mass, gram atomic mass, molecular mass and gram molecular mass. Then, after doing some calculation process we will get the required answer.

Complete step-by-step answer:
We know that,
1 mole of Copper Sulphate ($CuS{O_4}$) contains 1 mole of copper.

Now, we have to find the molecular mass of Copper Sulphate ($CuS{O_4}$ ) . For which we will multiply the atomic mass of the elements present in Copper Sulphate ($CuS{O_4}$) with the number of their atoms present in the molecular formula and then add them all.

The atomic mass of atoms is defined as the average relative mass of an atom of elements as compared to mass of an atom of carbon – 12 taken as 12. These masses on atomic mass scale are expressed in terms of a.m.u., but nowadays, the symbol ‘$\mu $’ is also used in place of a.m.u.
The atomic mass of an element expressed in grams is called gram atomic mass.

Now, we know that
Atomic mass of Copper (Cu) is 63.5$\mu $and gram atomic mass of Copper is 63.5 g.
Atomic mass of Sulphur (S) is 32$\mu $ and when expressed in grams is 32 g.
Atomic mass of Oxygen (O) is 16$\mu $ and when expressed in terms of grams is 16 g.

Therefore,
Molar mass of Copper Sulphate ($CuS{O_4}$) = 1$ \times $Atomic mass of Copper +1 $ \times $Atomic Mass of Sulphur + 4$ \times $ Atomic mass of Oxygen
$
   = 1 \times \left( {63.5} \right) + 1 \times \left( {32} \right) + 4 \times \left( {16} \right) \\
   = 63.5 + 32 + 64 \\
   = 159.5g \\
 $
As, 159.5 g of Copper Sulphate ($CuS{O_4}$) contains 63.5 g of Copper ($Cu$).
Therefore, the amount of Copper ($Cu$) that can be obtained from 100 g of Copper Sulphate ($CuS{O_4}$):
$
   = \dfrac{{63.5 \times 100}}{{159.5}} \\
   = 39.81 \\
 $
Hence, 39.81 g of Copper ($Cu$) can be obtained from 100 g of Copper Sulphate ($CuS{O_4}$).

Note – The answer of substance containing Avogadro’s number of atoms or molecules is called a mole. Thus a mole is a chemist unit of counting particles such as atoms, ions or molecules. Copper is a member of group 11 of d-block in the periodic table. It belongs to the category of transition metal. The symbol of copper is Cu, atomic number is 29 and atomic mass is 63.5 $\mu $.