Question #24350

For the following reaction, 22.0 grams of iron are allowed to react with with 10.6 grams of oxygen gas.

iron (s) + oxygen (g) iron(II) oxide (s)

What is the maximum amount of iron(II) oxide that can be formed?

Expert's answer

For the following reaction, 22.0 grams of iron are allowed to react with 10.6 grams of oxygen gas.


iron (s)+oxygen (g)iron(II) oxide (s)\text{iron (s)} + \text{oxygen (g)} \cdot \text{iron(II)} \text{ oxide (s)}


What is the maximum amount of iron(II) oxide that can be formed?

Solution:

2Fe255.8+O2=2FeO2 \mathrm{Fe}_{255.8} + \mathrm{O}_{2} = 2 \mathrm{FeO}


For the equation of reaction and basic data determine, what component is taken in plenty. For that find number moles of each component:


n(Fe)=22.0255.8=0.197 mole;n(O2)=10.632.0=0.331 mole.\begin{array}{l} n(\mathrm{Fe}) = \dfrac{22.0}{2 \cdot 55.8} = 0.197 \text{ mole}; \\ n(\mathrm{O}_{2}) = \dfrac{10.6}{32.0} = 0.331 \text{ mole}. \end{array}


So, oxygen is taken in plenty. Therefore, the amount of iron(II) oxide determined from the mass of iron:


2Fe255.8+O2=2FeO2 \mathrm{Fe}_{255.8} + \mathrm{O}_{2} = 2 \mathrm{FeO}


From the reaction, the mass of iron is:


X=22.0271.8255.8=28.3 g.X = \dfrac{22.0 \cdot 2 \cdot 71.8}{2 \cdot 55.8} = 28.3 \text{ g}.

Answer:

The maximum amount of iron(II) oxide (FeO) is 28.3 g.

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