Answer : The percent yield of the reaction is, 86.5 %
Solution : Given,
Mass of Cyclohexanol = 3.1 g
Molar mass of Cyclohexanol = 100.16 g/mole
Molar mass of Cyclohexene = 82.14 g/mole
First we have to calculate the moles of Cyclohexanol.
[tex]\text{ Moles of Cyclohexanol }=\frac{\text{ Mass of Cyclohexanol }}{\text{ Molar mass of Cyclohexanol }}=\frac{3.1g}{100.16g/mole}=0.03095moles[/tex]
Now we have to calculate the moles of Cyclohexene.
The balanced chemical reaction is,
[tex]Cyclohexanol\rightarrow Cyclohexene[/tex]
From the reaction, we conclude that
As, 1 mole of Cyclohexanol react to give 1 mole of Cyclohexene
So, 0.03095 mole of Cyclohexanol react to give 0.03095 mole of Cyclohexene
Now we have to calculate the mass of Cyclohexene.
[tex]\text{ Mass of Cyclohexene}=\text{ Moles of Cyclohexene}\times \text{ Molar mass of Cyclohexene}[/tex]
[tex]\text{ Mass of Cyclohexene}=(0.03095moles)\times (82.14g/mole)=2.542g[/tex]
Theoretical yield of Cyclohexene = 2.542 g
Experimental yield of Cyclohexene = 2.2 g
Now we have to calculate the percent yield of reaction.
[tex]\% \text{ yield of reaction}=\frac{\text{ Experimental yield of Cyclohexene}}{\text{ Theretical yield of Cyclohexene}}\times 100[/tex]
[tex]\% \text{ yield of reaction}=\frac{2.2g}{2.542g}\times 100=86.5\%[/tex]
Therefore, the percent yield of the reaction is, 86.5 %