Question

What mass of carbon monoxide is needed to react with 2.08 kg of iron oxide? ----> Fe^2O^3 + 3CO --> 2Fe + 3CO^2

Answer 1

Answer: The mass of carbon monoxide required is 1.094 kg

Explanation:

The number of moles is defined as the ratio of the mass of a substance to its molar mass. The equation used is:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$ ......(1)

Given mass of iron (III) oxide = 2.08 kg = 2080 g          (Conversion factor: 1 kg = 1000 g)

Molar mass of iron (III) oxide = 159.69 g/mol

Plugging values in equation 1:

$\text{Moles of iron (III) oxide}=\frac{2080g}{159.69g/mol}=13.02 mol$

The given chemical equation follows:

$Fe_2O_3+3CO\rightarrow 2Fe+3CO_2$

By the stoichiometry of the reaction:

If 1 mole of iron (III) oxide reacts with 3 moles of CO

So, 13.02 moles of iron (III) oxide will react with = $\frac{3}{1}\times 13.02=39.06mol$ of CO

Molar mass of CO = 28.01 g/mol

Plugging values in equation 1:

$\text{Mass of carbon monoxide}=(39.06mol\times 28.01g/mol)=1094.07g=1.094kg$

Hence, the mass of carbon monoxide required is 1.094 kg