Question 7 of 36intermediate🔧 ApplyNumerical3 marks

How much copper can be obtained from 100 g of copper sulphate (CuSO₄)?

Correct Answer

39.81 g of copper can be obtained from 100 g of copper sulphate (CuSO₄).

Exercise: EXERCISES | Q: 1.7 | (Page 26)
For More Understanding

Explanation

To find the mass of copper obtained from a given mass of copper sulphate, we first calculate the molar mass of CuSO₄ using standard atomic masses. Then, using the concept of mass percentage, we determine the proportion of copper's mass in the total molar mass and apply it to the given 100 g sample.

Solution Steps

  1. Step 1: Calculate the molar mass of CuSO4CuSO_4. Using standard atomic masses (Cu = 63.5, S = 32, O = 16):

    MCuSO4=63.5+32+(4×16)=159.5 g mol−1M_{CuSO_4} = 63.5 + 32 + (4 \times 16) = 159.5 \text{ g mol}^{-1}

  2. Step 2: Determine the mass of copper in one mole of CuSO4CuSO_4. One mole of CuSO4CuSO_4 contains 1 mole of Cu atoms. Therefore, the mass of copper in one mole is 63.5 g63.5 \text{ g}.

  3. Step 3: Calculate the mass of copper in 100 g of CuSO4CuSO_4. Mass of Cu = (Mass of CuMolar mass of CuSO4)×Given mass of CuSO4\left( \frac{\text{Mass of Cu}}{\text{Molar mass of } CuSO_4} \right) \times \text{Given mass of } CuSO_4 Mass of Cu = (63.5159.5)×100=39.81 g\left( \frac{63.5}{159.5} \right) \times 100 = 39.81 \text{ g}

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