
Concept explainers
An iron mine has an ore deposit estimated at 3.53

The tonnes of iron can potentially be obtained from the deposit, if it has a hematite content of 56 percent by mass.
Answer to Problem 9PEB
Solution:
Explanation of Solution
Given data:
An iron mine has an ore deposit of
Ore grade of the percent is
Formula used:
The mass of hematite in the deposit by multiplying the total mass of the deposit by the ore grade:
The mass of iron by multiplying the mass of hematite by the mass percentage of iron in hematite:
Explanation:
Recall the mass of hematite in the deposit by multiplying the total mass of the deposit by the ore grade:
Substitute
For Hematite:
The formula:
The formula weight of Hematite:
Recall the mass percent of an element in a compound, which can be found from:
Substitute
Recall the mass of iron by multiplying the mass of hematite by the mass percentage of iron in hematite:
Substitute
Conclusion:
The mass of iron is
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