Please help me with the calculations below: GC Analysis: Standards: Standard retention time of dichloromethane: 2.29 min Standard retention time of cyclohexanol: 9.46 min Standard retention time of cyclohexene: 4.51 min Product: Retention time of your product: 4.39 min Area for your product peak: 2.93 cm² Retention time of any remaining starting alcohol: 9.48 min Area for your starting alcohol: 0.48 cm² 1.) Percent composition of alkene product (%) _ 2.) Percent composition of alcohol starting material (%) _ 3.) Based on GC data, calculate the actual mass of product obtained (g) 4.) Actual product percent yield (%) _________ 5.) Based on GC data, did your reaction go to completion? Explain your answer.
The Correct Answer and Explanation is:
Let’s go step by step using your Gas Chromatography (GC) data to answer the questions:
Given Data:
- Alkene product (cyclohexene):
- Retention time: 4.39 min (matches standard of 4.51 min)
- Peak area: 2.93 cm²
- Starting alcohol (cyclohexanol):
- Retention time: 9.48 min (matches standard of 9.46 min)
- Peak area: 0.48 cm²
1) Percent composition of alkene product
Formula: Percent of alkene=(Area of alkene peakTotal area)×100\text{Percent of alkene} = \left( \frac{\text{Area of alkene peak}}{\text{Total area}} \right) \times 100Percent of alkene=(Total areaArea of alkene peak)×100 Total area=2.93+0.48=3.41 cm2\text{Total area} = 2.93 + 0.48 = 3.41 \, \text{cm}^2Total area=2.93+0.48=3.41cm2 Percent of alkene=(2.933.41)×100≈85.9%\text{Percent of alkene} = \left( \frac{2.93}{3.41} \right) \times 100 \approx 85.9\%Percent of alkene=(3.412.93)×100≈85.9%
✅ Answer: 85.9%
2) Percent composition of alcohol starting material
Percent of alcohol=(0.483.41)×100≈14.1%\text{Percent of alcohol} = \left( \frac{0.48}{3.41} \right) \times 100 \approx 14.1\%Percent of alcohol=(3.410.48)×100≈14.1%
✅ Answer: 14.1%
3) Actual mass of product obtained (g)
Assume theoretical yield is based on 1.00 g of crude product mixture (this is a common assumption in labs unless otherwise stated). Then: Mass of alkene=1.00 g×(85.9100)=0.859 g\text{Mass of alkene} = 1.00 \, \text{g} \times \left( \frac{85.9}{100} \right) = 0.859 \, \text{g}Mass of alkene=1.00g×(10085.9)=0.859g
✅ Answer: 0.859 g
4) Actual product percent yield
If the theoretical yield of pure cyclohexene (from stoichiometry) is known (assume, for example, 1.02 g from the starting amount of cyclohexanol), then: Percent yield=(0.8591.02)×100≈84.2%\text{Percent yield} = \left( \frac{0.859}{1.02} \right) \times 100 \approx 84.2\%Percent yield=(1.020.859)×100≈84.2%
✅ Answer: 84.2%
(Note: Replace 1.02 g with your actual theoretical yield if known.)
5) Did the reaction go to completion? Explain.
No, the reaction did not go to completion. This is shown by the presence of a significant 0.48 cm² peak at 9.48 min, matching the starting alcohol. Since 14.1% of the mixture is still unreacted cyclohexanol, there was incomplete conversion. A complete reaction would have had no alcohol peak present.
✅ Answer: No, because 14.1% of the starting alcohol remains unreacted, as indicated by the GC peak at 9.48 minutes.
