Respuesta :
Answer : The number of moles of oxygen produced are, 39.8 mole
Solution : Given,
Moles of aluminium oxide = 26.5 mole
The given balanced chemical reaction is,
[tex]2Al_2O_3\rightarrow 4Al+3O_2[/tex]
From the balanced chemical reaction, we conclude that
As, 2 moles of aluminium oxide decomposes to give 3 moles of oxygen
So, 26.5 moles of aluminium oxide decomposes to give [tex]\frac{3}{2}\times 26.5=39.75=39.8[/tex] moles of oxygen
Therefore, the number of moles of oxygen produced are, 39.8 mole
Decomposition is a type of chemical reaction in which the reactants breaks to produce 2 or more product species.
39.8 moles will be produced in the decomposition reaction.
How to calculate the number of moles?
The balanced reaction can be shown as:
[tex]\rm 2 Al_{2}O_{3} \rightarrow 4Al + 3O_{2}[/tex]
Given,
Moles of Aluminium oxide [tex]\rm (Al_{2}O_{3})[/tex] = 26.5 mol
From the reaction, it can be deduced that,
2 moles of [tex]\rm Al_{2}O_{3}[/tex] = 3 moles of oxygen.
So, 26.5 moles of Aluminium oxide = X moles of oxygen
[tex]\begin{aligned} \;\rm X moles &= \dfrac{26.5 \times 3}{2}\\\\&= 39.8 \;\rm moles \end{aligned}[/tex]
Therefore, option C. 39.8 moles of oxygen will be produced.
Learn more about decomposition reaction here:
https://brainly.com/question/4037817
