Final answer:
To calculate the percentage economic element in the ore minerals, we use the formula % metal moles metal x atomic weight of metal sum (moles of each element x atomic weight of each element) x 100.
Step-by-step explanation:
To calculate the percentage economic element in the ore minerals, we need to follow the given formula:
Percentage economic element = (% metal / moles metal) x atomic weight of metal sum (moles of each element x atomic weight of each element) x 100
Let's calculate it for the given ore minerals:
a) Bornite - Cu5FeS4
For bornite, the economic element is copper (Cu).
From the formula: Percentage economic element = (% copper / moles copper) x atomic weight of copper sum (moles of each element x atomic weight of each element) x 100
Now, we calculate the values and substitute them into the formula:
Percentage economic element = (5 / (5 + 1 + 4)) x (63.55 / (5 x 63.55 + 1 x 55.85 + 4 x 32.06)) x 100
Simplifying this expression gives us the percentage economic element in bornite.
b) Azurite - Cu3(CO3)2(OH)2
For azurite, the economic element is also copper (Cu).
Following the same formula, we calculate the values and substitute them into the formula:
Percentage economic element = (3 / (3 + 2 + 4 + 2)) x (63.55 / (3 x 63.55 + 2 x (12.01 x 3 + 16.00 x 3) + 4 x 16.00 + 2 x (1.008 + 16.00))) x 100
Simplifying this expression gives us the percentage economic element in azurite.
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