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A reaction involved in the production of iron from iron ore is:

Fe2O3(s)
CO (g)
Fe (s)
CO2
a) How many kilograms of CO must react to produce 3.50 kg of Fe?
b) What mass of CO, would be produced?​

User Hackel
by
4.7k points

1 Answer

4 votes

Answer:

a) 2.632 kg

b) 41.36 kg

Step-by-step explanation:

Given data:

Mass of CO react = ?

Mass of Fe formed = 3.50 Kg (3.50 /1000 =3500 g)

Mass of CO₂ formed = ?

Solution:

Chemical equation;

Fe₂O₃ + 3CO → 2Fe + 3CO₂

Number of moles of Fe:

Number of moles = mass/molar mass

Number of moles = 3500 g/55.85 g/mol

Number of moles = 62.67 mol

now we will compare the moles of iron with CO.

Fe : CO

2 : 3

62.67 : 3/2×62.67 = 94 mol

Mass of CO:

Mass = number of moles × molar mass

Mass = 94 mol × 28 g/mol

Mass = 2632 g

In kilogram:

2632g × 1 Kg /1000 g

2.632 kg

Now we will compare the moles of Fe with CO₂

Fe : CO₂

2 : 3

62.67 : 3/2×62.67 = 94 mol

Mass of CO₂:

Mass = number of moles × molar mass

Mass = 94 mol × 44 g/mol

Mass = 4136 g

In kilogram:

4136g × 1 Kg /1000 g

41.36 kg

User Amit Kalra
by
5.4k points