<u>Answer:</u> The amount of hex-3-ene used is 0.0711 moles and the percent yield of 3-hexanol is 59.56 %
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of hex-3-ene = 5.84 g
Molar mass of hex-3-ene = 82.14 g/mol
Putting values in equation 1, we get:
![\text{Moles of hex-3-ene}=\frac{5.84g}{82.14/mol}=0.0711mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20hex-3-ene%7D%3D%5Cfrac%7B5.84g%7D%7B82.14%2Fmol%7D%3D0.0711mol)
The chemical equation for the conversion of hex-3-ene to 3-hexanol follows:
![\text{hex-3-ene}+H_2O\xrightarrow []{10\% H_2SO_4} \text{3-hexanol}](https://tex.z-dn.net/?f=%5Ctext%7Bhex-3-ene%7D%2BH_2O%5Cxrightarrow%20%5B%5D%7B10%5C%25%20H_2SO_4%7D%20%5Ctext%7B3-hexanol%7D)
By Stoichiometry of the reaction:
1 mole of hex-3-ene produces 1 mole of 3-hexanol
So, 0.0711 moles of hex-3-ene will produce =
of 3-hexanol
Now, calculating the mass of 3-hexanol from equation 1, we get:
Molar mass of 3-hexanol = 102.2 g/mol
Moles of 3-hexanol = 0.0711 moles
Putting values in equation 1, we get:
![0.0711mol=\frac{\text{Mass of 3-hexanol}}{102.2g/mol}\\\\\text{Mass of 3-hexanol}=(0.0711mol\times 102.2g/mol)=7.27g](https://tex.z-dn.net/?f=0.0711mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%203-hexanol%7D%7D%7B102.2g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%203-hexanol%7D%3D%280.0711mol%5Ctimes%20102.2g%2Fmol%29%3D7.27g)
To calculate the percentage yield of 3-hexanol, we use the equation:
![\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%7D%3D%5Cfrac%7B%5Ctext%7BExperimental%20yield%7D%7D%7B%5Ctext%7BTheoretical%20yield%7D%7D%5Ctimes%20100)
Experimental yield of 3-hexanol = 4.33 g
Theoretical yield of 3-hexanol = 7.27 g
Putting values in above equation, we get:
![\%\text{ yield of 3-hexanol}=\frac{4.33g}{7.27g}\times 100\\\\\% \text{yield of 3-hexanol}=59.56\%](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%20of%203-hexanol%7D%3D%5Cfrac%7B4.33g%7D%7B7.27g%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7Byield%20of%203-hexanol%7D%3D59.56%5C%25)
Hence, the amount of hex-3-ene used is 0.0711 moles and the percent yield of 3-hexanol is 59.56 %