A 0.261 g piece of solid magnesium reacts with gaseous oxygen from the atmosphere to form solid magnesium oxide. in the laboratory a student weighs the mass of the magnesium oxide collected from this reaction as 0.254 g. what is the percent yield ?

Respuesta :

The percent yield of [tex]MgO[/tex] is 58.79%

According to the following balanced reaction, magnesium interacts with oxygen to generate magnesium oxide:

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

Given mass of solid magnesium = 0.261g

Molar mass of Mg = 24g/mol

Using formula , [tex]Number of moles =\dfrac {mass} {molar mass} = \dfrac {0.261g} {24g/mol} = 0.0108mole[/tex]

We could theoretically make 0.0108 moles of [tex]MgO[/tex] since the reaction yields an equimolar quantity of [tex]MgO[/tex]. It is clear from the above reaction that 2 moles of magnesium result in 2 moles of magnesium oxide.

Hence, mass of [tex]MgO[/tex] = Number of moles [tex]\times[/tex] Molar mass of MgO

mass of [tex]MgO[/tex]  = [tex]0.0108mole \times 40g/mole = 0.432g[/tex]

Percent yield =  [tex]\dfrac{Actual mass of MgO} {Theoretical mass of MgO} \times 100[/tex]

                       =  [tex]\dfrac{0.254} {0.432} \times 100 = 58.79percentage[/tex]

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