Respuesta :

Answer: Amount of iron produced is 101.36 grams.

Explanation:

For the reaction of aluminium and iron oxide, the equation follows:

[tex]2Al+Fe_2O_3\rightarrow Al_2O_3+2Fe[/tex]

By Stoichiometry of the reaction,

When 1 mole of aluminium oxide is produced, then 2 moles of iron is also produced.

So, when 0.905 moles of aluminium oxide is produced, then [tex]\frac{ 2}{1}\times 0.905mol=1.81moles[/tex] of iron is also produced.

Now, to calculate the amount of iron produced, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Molar mass of iron = 56 g/mol

Moles of iron = 1.81 moles

Putting values in above equation, we get:

[tex]1.81mol=\frac{\text{Mass of iron}}{56g/mol}\\\\\text{Mass of iron produced}=101.36g[/tex]

Hence, amount of iron produced is 101.36 grams.

101.36 gram is the mass of iron produced, if 0.905 mole of Al₂O₃ is produced.

How we calculate the mass using moles?

Mass of any substance can be calculated by using moles as:

n = W/M, where

W = given or required mass

M = molar mass

Given chemical reaction is written as:

2Al + Fe₂O₃ → Al₂O₃ + 2Fe

From the stoichiometry of the reaction:

2 moles of Fe produced = when 1 mole of Al₂O₃ is produced

According to the question:

Produced moles of Al₂O₃ = 0.905 mole

Then produced mole of Fe = 2 × 0.905 mole = 1.81 moles

Now mass of iron can be calculated as:

W = n × M, where

M = molar mass of Fe = 56 g/mole

W = 1.81mole × 56g/mole = 101.36g

Hence, 101.36g is the mass of iron.

To know more about moles, visit the below link:

https://brainly.com/question/3262