Chapter 14, Problem 8STP

Interpretation Introduction

Interpretation:

The moles of Fe have to be calculated.

Concept introduction:

Mole: The mole is the unit which is used to measure the amount of a substance. A mole can be defined as the number of carbon atoms which is present in exactly 12 g of pure carbon-12. A mole contains 6.023 × 10²³ representative particles.

Stoichiometry: It can be defined as a study of quantitative relationships between the amounts of reactants used and amounts of products formed by a chemical reaction.

Answer to Problem 8STP

Answer is C. 12 moles of Fe will be produced when 16 moles of H₂ are used.

Explanation of Solution

${\mathrm{Fe}}_3{O}_4(s)+4H_2(g)\to 3Fe(s)+4H_{2}O(l)$

From the above balanced chemical equation, it can bestated that one mole of iron(III) oxide reacts with four moles of hydrogen to produce three moles of iron and four moles of water.

3 moles of iron is produced from 4 moles of hydrogen.

So, 16 moles of hydrogen can produce = $\frac{16mol{H}_2\times 3molFe}{4mol{H}_2}=12molFe$

Conclusion

Reasons for incorrect options:

From the calculation, 12 moles of Fe will be produced when 16 moles of H₂ are used.

So, 16 moles of hydrogen can produce = $\frac{16mol{H}_2\times 3molFe}{4mol{H}_2}=12molFe$

The correct answer is C.

That means other options that is,

A. 6

B. 3

D. 9 are found to be incorrect.