You used 30 mL of cyclohexanol. The density of cyclohexanol is 0.962 g/mL. The maximum yield of cyclohexene is how many moles
The Correct Answer and Explanation is:
To calculate the number of moles of cyclohexene that can be obtained from 30 mL of cyclohexanol, we need to follow these steps:
Step 1: Calculate the mass of cyclohexanol
The mass of cyclohexanol can be calculated using its density and volume. The formula for density is: Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}Density=VolumeMass
Rearranging to solve for mass: Mass=Density×Volume\text{Mass} = \text{Density} \times \text{Volume}Mass=Density×Volume
Given:
- Density of cyclohexanol = 0.962 g/mL
- Volume of cyclohexanol = 30 mL
Mass=0.962 g/mL×30 mL=28.86 g\text{Mass} = 0.962 \, \text{g/mL} \times 30 \, \text{mL} = 28.86 \, \text{g}Mass=0.962g/mL×30mL=28.86g
Step 2: Calculate the moles of cyclohexanol
Now, we need to convert the mass of cyclohexanol to moles. To do this, we use the molar mass of cyclohexanol, which is: Molar mass of cyclohexanol=100.16 g/mol\text{Molar mass of cyclohexanol} = 100.16 \, \text{g/mol}Molar mass of cyclohexanol=100.16g/mol
The formula to calculate moles is: Moles=MassMolar mass\text{Moles} = \frac{\text{Mass}}{\text{Molar mass}}Moles=Molar massMass Moles of cyclohexanol=28.86 g100.16 g/mol=0.2884 mol\text{Moles of cyclohexanol} = \frac{28.86 \, \text{g}}{100.16 \, \text{g/mol}} = 0.2884 \, \text{mol}Moles of cyclohexanol=100.16g/mol28.86g=0.2884mol
Step 3: Determine the maximum yield of cyclohexene
Cyclohexanol undergoes a dehydration reaction to produce cyclohexene. This is a 1:1 molar reaction, meaning that 1 mole of cyclohexanol yields 1 mole of cyclohexene. Therefore, the maximum yield of cyclohexene is the same as the moles of cyclohexanol.
Thus, the maximum yield of cyclohexene is: 0.2884 mol0.2884 \, \text{mol}0.2884mol
Conclusion:
The maximum yield of cyclohexene is 0.2884 moles.
