Determine the molar concentration of ethanol (C2H6O) in a wine that is 14% ethanol by mass. The density of this wine is 0.93 g/cm^3.
assume 1 liter of wine, total mass 930grams. Mass of ethanol then is .14*930
Molar concentration= molesEthanol/1liter
= massethanol/molmassethanol
To determine the molar concentration of ethanol in the wine, we need to use the following steps:
Step 1: Calculate the mass of ethanol in the given wine sample.
Given that the wine is 14% ethanol by mass, we assume that 100 g of the wine contains 14 g of ethanol.
So, the mass of ethanol in the wine = 14% of the mass of the wine = (14/100) * X grams, where X is the mass of the wine.
Step 2: Calculate the volume of the wine using its density.
Density is defined as mass per unit volume. Since the density of the wine is given as 0.93 g/cm^3, it means that 1 cm^3 of the wine has a mass of 0.93 grams.
Using this information, we can calculate the volume of the wine:
Volume of the wine = Mass of the wine (in grams) / Density of the wine
Volume of the wine = X grams / 0.93 g/cm^3
Step 3: Convert the volume of the wine to liters.
We need to convert the volume from cm^3 to liters to match the unit of molar concentration, which is mol/L.
1 L = 1000 cm^3, so we can use this conversion factor to convert the volume from cm^3 to liters.
Volume of the wine (in liters) = (X grams / 0.93 g/cm^3) / 1000
Step 4: Calculate the number of moles of ethanol.
To determine the molar concentration, we need to find the number of moles of ethanol in the wine. The molar mass of ethanol (C2H6O) is 46.07 g/mol.
Number of moles of ethanol = (Mass of ethanol in the wine / Molar mass of ethanol)
Step 5: Calculate the molar concentration.
Molar concentration (C) is defined as the number of moles of solute divided by the volume of the solution in liters.
Molar concentration of ethanol (C2H6O) = (Number of moles of ethanol) / (Volume of the wine in liters)
By following these steps, you can determine the molar concentration of ethanol in the given wine sample.