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.
![\text{ Moles of Cyclohexanol }=\frac{\text{ Mass of Cyclohexanol }}{\text{ Molar mass of Cyclohexanol }}=\frac{3.1g}{100.16g/mole}=0.03095moles](https://tex.z-dn.net/?f=%5Ctext%7B%20Moles%20of%20Cyclohexanol%20%7D%3D%5Cfrac%7B%5Ctext%7B%20Mass%20of%20Cyclohexanol%20%7D%7D%7B%5Ctext%7B%20Molar%20mass%20of%20Cyclohexanol%20%7D%7D%3D%5Cfrac%7B3.1g%7D%7B100.16g%2Fmole%7D%3D0.03095moles)
Now we have to calculate the moles of Cyclohexene.
The balanced chemical reaction is,
![Cyclohexanol\rightarrow Cyclohexene](https://tex.z-dn.net/?f=Cyclohexanol%5Crightarrow%20Cyclohexene)
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.
![\text{ Mass of Cyclohexene}=\text{ Moles of Cyclohexene}\times \text{ Molar mass of Cyclohexene}](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20Cyclohexene%7D%3D%5Ctext%7B%20Moles%20of%20Cyclohexene%7D%5Ctimes%20%5Ctext%7B%20Molar%20mass%20of%20Cyclohexene%7D)
![\text{ Mass of Cyclohexene}=(0.03095moles)\times (82.14g/mole)=2.542g](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20Cyclohexene%7D%3D%280.03095moles%29%5Ctimes%20%2882.14g%2Fmole%29%3D2.542g)
Theoretical yield of Cyclohexene = 2.542 g
Experimental yield of Cyclohexene = 2.2 g
Now we have to calculate the percent yield of reaction.
![\% \text{ yield of reaction}=\frac{\text{ Experimental yield of Cyclohexene}}{\text{ Theretical yield of Cyclohexene}}\times 100](https://tex.z-dn.net/?f=%5C%25%20%5Ctext%7B%20yield%20of%20reaction%7D%3D%5Cfrac%7B%5Ctext%7B%20Experimental%20yield%20of%20Cyclohexene%7D%7D%7B%5Ctext%7B%20Theretical%20yield%20of%20Cyclohexene%7D%7D%5Ctimes%20100)
![\% \text{ yield of reaction}=\frac{2.2g}{2.542g}\times 100=86.5\%](https://tex.z-dn.net/?f=%5C%25%20%5Ctext%7B%20yield%20of%20reaction%7D%3D%5Cfrac%7B2.2g%7D%7B2.542g%7D%5Ctimes%20100%3D86.5%5C%25)
Therefore, the percent yield of the reaction is, 86.5 %