What is the concentration of ethanol in mass percent in a particular liquor?
The concentration of ethanol in mass percent is 35.08%. We are given the volume percent of ethanol in a particular liquor which is 44.5%. The density of ethanol is 0.789 g/mL while the density of water is 0.998 g/mL. To find the mass percent, we must first convert the volume percent to mass percent.
Calculating Mass Percent of Ethanol in Liquor
To calculate the concentration of ethanol in mass percent, we need to follow these steps:
1. Determine the Volume of Ethanol:
Using the density of ethanol and the volume percent of ethanol, we can calculate the volume of ethanol in the liquor. Volume = mass / density.
Volume of ethanol = 0.789 g/mL * (44.5/100) = 0.351405 g/mL
2. Determine the Volume of Water:
Similarly, we can calculate the volume of water in the liquor using its density and the remaining volume. Volume of water = 0.998 g/mL * (55.5/100) = 0.55389 g/mL
3. Calculate the Total Mass of the Solution:
The total mass of the liquor is the sum of the masses of ethanol and water. Total mass = mass of ethanol + mass of water = 0.351405 g/mL + 0.55389 g/mL = 0.905295 g/mL
4. Calculate the Mass Percent:
Using the formula for mass percent (Mass of solute / Mass of solution * 100%), we can calculate the concentration of ethanol in mass percent.
Mass percent = 0.351405 g/mL / 0.905295 g/mL * 100% = 35.08%
Therefore, the concentration of ethanol in mass percent in the particular liquor is 35.08%.