Respuesta :

The reaction is as follows:

2Mg + O2 ➡️ 2MgO

Four moles of Magnesium means that the reaction can be run twice before it is depleted; two moles of O2 are required to react with this amount of Magnesium, as per the stoichiometric coefficients.

2 mol x 32 g/mol = 64 g O2 required.

Answer : The mass of [tex]O_2[/tex] required is 256 grams.

Explanation :

The balanced chemical reaction will be:

[tex]2Mg+O_2\rightarrow 2MgO[/tex]

First we have to calculate the moles of [tex]O_2[/tex].

From the balanced reaction we conclude that,

As, 2 moles of Mg react with 1 mole of [tex]O_2[/tex]

So, 4.00 moles of Mg react with [tex]4.00\times 2=8.00[/tex] mole of [tex]O_2[/tex]

Now we have to calculate the mass of [tex]O_2[/tex].

[tex]\text{ Mass of }O_2=\text{ Moles of }O_2\times \text{ Molar mass of }O_2[/tex]

Molar mass of [tex]O_2[/tex] = 32.0 g/mole

[tex]\text{ Mass of }O_2=(8.00moles)\times (32.0g/mole)=256g[/tex]

Therefore, the mass of [tex]O_2[/tex] required is 256 grams.