Respuesta :
Answer :
(1) The theoretical yield of product, [tex]MgO[/tex] is, 1.257 grams.
(2) The percent yield of [tex]MgO[/tex] is, 64.13 %
(3) If the percent yield is calculated to be over 100% then there might be some impurity present in the desired product.
Solution : Given,
Mass of Mg = 0.7542 g
Molar mass of Mg = 24 g/mole
Molar mass of MgO = 40 g/mole
First we have to calculate the moles of Mg.
[tex]\text{ Moles of }Mg=\frac{\text{ Mass of }Mg}{\text{ Molar mass of }Mg}=\frac{0.7542g}{24g/mole}=0.03142moles[/tex]
Now we have to calculate the moles of [tex]MgO[/tex]
The balanced chemical reaction is,
[tex]2Mg(s)+O_2(g)\rightarrow 2MgO(s)[/tex]
From the reaction, we conclude that
As, 2 mole of [tex]Mg[/tex] react to give 2 mole of [tex]MgO[/tex]
So, 0.03142 moles of [tex]Mg[/tex] react to give 0.03142 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=(0.03142moles)\times (40g/mole)=1.257g[/tex]
Theoretical yield of [tex]MgO[/tex] = 1.257 g
Experimental yield of [tex]MgO[/tex] = 0.8922 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{0.8922g}{1.257g}\times 100=70.97\%[/tex]
Therefore, the percent yield of [tex]MgO[/tex] is, 70.97 %
If the percent yield is calculated to be over 100% then the product would be greater than 1.257 g which indicates that there might be some impurity present in the desired product.
The percent yield is 71.95%. A percent yield above 100% implies the presence of an impurity such as Mg3N2.
The reaction occurs as follows;
2Mg + O2 ----> 2MgO
Number of moles of Mg = 0.7542 g/24 g/mol = 0.031 moles
Since oxygen is in excess, Mg is the limiting reactant.
From the reaction equation;
2 moles of Mg yields 2 mole of MgO
0.031 moles of Mg yields 0.031 moles × 2 mole/2 moles = 0.031 moles
Theoretical yield of MgO = 0.031 moles × 40 g/mol = 1.24 g
Percent yield = actual yield/theoretical yield × 100/1
Actual yield = 0.8922 g
Percent yield = 0.8922 g /1.24 g × 100/1
= 71.95%
If the percent yield was calculated to be over 100% then an impurity such as Mg3N2 may be present.
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