Respuesta :
Answer : The percent yield of [tex]MgO[/tex] is, 64.13 %
Solution : Given,
Mass of Mg = 10 g
Mass of [tex]O_2[/tex] = 6 g
Molar mass of Mg = 24 g/mole
Molar mass of [tex]O_2[/tex] = 32 g/mole
Molar mass of MgO = 40 g/mole
First we have to calculate the moles of Mg and [tex]O_2[/tex].
[tex]\text{ Moles of }Mg=\frac{\text{ Mass of }Mg}{\text{ Molar mass of }Mg}=\frac{10g}{24g/mole}=0.4167moles[/tex]
[tex]\text{ Moles of }O_2=\frac{\text{ Mass of }O_2}{\text{ Molar mass of }O_2}=\frac{6g}{32g/mole}=0.1875moles[/tex]
Now we have to calculate the limiting and excess reagent.
The balanced chemical reaction is,
[tex]2Mg(s)+O_2(g)\rightarrow 2MgO(s)[/tex]
From the balanced reaction we conclude that
As, 1 mole of [tex]O_2[/tex] react with 2 mole of [tex]Mg[/tex]
So, 0.1875 moles of [tex]O_2[/tex] react with [tex]0.1875\times 2=0.375[/tex] moles of [tex]Mg[/tex]
From this we conclude that, [tex]Mg[/tex] is an excess reagent because the given moles are greater than the required moles and [tex]O_2[/tex] is a limiting reagent and it limits the formation of product.
Now we have to calculate the moles of [tex]MgO[/tex]
From the reaction, we conclude that
As, 1 mole of [tex]O_2[/tex] react to give 2 mole of [tex]MgO[/tex]
So, 0.1875 moles of [tex]O_2[/tex] react to give [tex]0.1875\times 2=0.375[/tex] moles of [tex]MgO[/tex]
Now we have to calculate the mass of [tex]MgO[/tex]
[tex]\text{ Mass of }MgO=\text{ Moles of }MgO\times \text{ Molar mass of }MgO[/tex]
[tex]\text{ Mass of }MgO=(0.375moles)\times (40g/mole)=15g[/tex]
Theoretical yield of [tex]MgO[/tex] = 15 g
Experimental yield of [tex]MgO[/tex] = 9.62 g
Now we have to calculate the percent yield of [tex]MgO[/tex]
[tex]\% \text{ yield of }MgO=\frac{\text{ Experimental yield of }MgO}{\text{ Theretical yield of }MgO}\times 100[/tex]
[tex]\% \text{ yield of }MgO=\frac{9.62g}{15g}\times 100=64.13\%[/tex]
Therefore, the percent yield of [tex]MgO[/tex] is, 64.13 %
The percentage yield of the Magnesium oxide MgO will be 64.13 %
What will be the percentage yield of the Magnesium Oxide?
It is given that in the question that:-
Mass of Mg = 10 g
Mass of [tex]O_2[/tex] = 6 g
Molar mass of Mg = 24 g/mole
The molar mass of [tex]O_2[/tex]= 32 g/mole
Molar mass of MgO = 40 g/mole
First, we have to calculate the moles of Mg and.[tex]O_2[/tex]
[tex]\rm Moles \ of\ Mg= \dfrac{Maas \ of\ Mg}{Molar\ mass\ of\ Mg}= \dfrac{10}{24} =0.4167 moles[/tex]
[tex]\rm Moles \ of\ O_2= \dfrac{Maas \ of\ O_2}{Molar\ mass\ of\ O_2}= \dfrac{6}{32} =0.1875\ moles[/tex]
Now we have to calculate the limiting and excess reagent.
The balanced chemical reaction is,
[tex]\rm 2Mg+O_2--- > 2MgO[/tex]
From the balanced reaction, we conclude that
As 1 mole of [tex]O_2[/tex] reacting with [tex]0.1875\times2=0.375[/tex] 2 mole Mg of
So, 0.1875 moles of reacting with [tex]0.1875\times2=0.375[/tex] moles of Mg
From this, we conclude that Mg is an excess reagent because the given moles are greater than the required moles and [tex]O_2[/tex] is a limiting reagent and it limits the formation of the product.
Now we have to calculate the moles of MgO
From the reaction, we conclude that
As 1 mole of reacting to give 2 moles of
So, 0.1875 moles of [tex]O_2[/tex] reacting to give moles of MgO
Now we have to calculate the mass of
[tex]\rm Mass \ of \ MgO = Moles\ of\ MgO\times Molar\ mass\ of\ MgO[/tex]
[tex]\rm Mass \ of\ MgO=0.375\times 40=15\ g[/tex]
Theoretical yield of = 15 g
The experimental yield of = 9.62 g
Now we have to calculate the percent yield of
% yield of MgO
[tex]=\dfrac{Experimental \ yield}{Theoretical \ Yield} \times 100[/tex]
[tex]=\dfrac{0.62}{15} \times 100=64.13[/tex]
Thus the percentage yield of the Magnesium oxide MgO will be 64.13 %
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