What volume of eugenol will be present in 30 mL of distillate?

The essential oil found in cloves, eugenol, can be isolated by steam distillation because it is insoluble in water and has a measurable vapor pressure at 100 °C even though it has a much higher boiling point than water. Use data from the table to calculate the volume of eugenol in 30 mL of distillate.

Molar Mass H2O: 18 g/mol
Molar Mass of Eugenol: 164 g/mol
Boiling point of H2O: 100 degrees C
Boiling point of Eugenol: 254 degrees C
Vapor Pressure at 100 degrees C: 760 mmHg
Vapor Pressure at 100 degrees C: 4.0 mmHg
Density of water: 1.0 g/mL
Density of Eugenol: 1.05 g/mL

V= [mole fraction x molar mass] / density

This is what i have done so far:
mH20: 0.9947 * 18 = 17.9046 / 1 g/mL = 17.9046
morg: 0.0053 * 164 = 0.8692/ 1.05 g/mL = 0.8278

V% = Vorg/(Vorg + VH2O) * 100

(0.8278/18.7324) * 100 = 4.419%

From this step I have no idea what to do please help.

%v/v = (volume eugenol/total vol)*100 = 4.42

total volume = 30 mL; therefore,
0.0442 = (volume eugenol/30)
volume eugenol = 0.0442*30 = ? but I would have done it in grams from the beginning and used density to convert to mL.

(m eug/mH2O) = (peug*164/pH2O*18)
(m eug/30) = (4*164/760*18)
m eug = about 1.44g and
volume = mass/density = 1.44/1.05 = about 1.37 mL
In this calculation I've assume the 30 mL distillate is ALL water which may not be quite right but with such low vapor pressures for eugenol that isn't far off. You can do back through it and put in 30 - 1.4 mL and recalculate it as another approximation but I don't think that will make much difference.

To calculate the volume of eugenol in 30 mL of distillate, you can use the equation V% = Vorg / (Vorg + VH2O) * 100, where Vorg is the volume of eugenol and VH2O is the volume of water.

From your calculations, you have determined that the percentage of eugenol in the distillate is 4.419%.

To find the volume of eugenol, you can set up a proportion using the known volume of distillate (30 mL) and the percentage of eugenol.

V% = Vorg / (Vorg + VH2O) * 100

Solving for Vorg:

Vorg / (Vorg + VH2O) = V% / 100

Vorg = (V% / 100) * (Vorg + VH2O)

Plugging in the known values:

Vorg = (4.419 / 100) * (30 mL)

Vorg = 1.3255 mL

Therefore, the volume of eugenol present in 30 mL of distillate is approximately 1.3255 mL.

To calculate the volume of eugenol in 30 mL of distillate, you need to use the percentage of eugenol in the distillate and convert it into a volume.

From your calculations, you found that the percentage of eugenol in the distillate is 4.419%.

To convert this percentage into a volume, you can follow these steps:

Step 1: Convert the percentage to a decimal by dividing it by 100:
4.419% / 100 = 0.04419

Step 2: Multiply the decimal by the total volume of the distillate to get the volume of eugenol:
0.04419 x 30 mL = 1.3257 mL

Therefore, the volume of eugenol present in 30 mL of distillate is approximately 1.3257 mL.