If there are 45 drops of alcohol/mL, and the density of alcohol is 0.789 g/mL, what is the blood alcohol concentration of your unknown sample?
To determine the blood alcohol concentration (BAC) of the unknown sample, we need to calculate the mass of alcohol in the sample and then divide it by the volume of the sample.
First, we will calculate the mass of alcohol. We know that the density of alcohol is 0.789 g/mL. This means that for every 1 mL of alcohol, the mass is 0.789 g. Since we have 45 drops of alcohol per milliliter, we can assume that the volume of one drop is approximately 1/45 mL. Therefore, the mass of one drop of alcohol is:
Mass of one drop = 0.789 g/mL x 1/45 mL = 0.01753 g
Next, we need to calculate the total mass of alcohol in the unknown sample. For this, we need to know the number of drops in the sample or the volume of the sample in milliliters. Once we have that information, we can simply multiply the mass of one drop by the total number of drops or the volume of the sample. Let's assume the unknown sample contains 500 drops of alcohol:
Total mass of alcohol = 0.01753 g/drop x 500 drops = 8.765 g
Finally, to calculate the blood alcohol concentration (BAC) of the unknown sample, we divide the mass of alcohol by the volume of the sample. Let's assume the volume of the sample is 100 mL:
BAC = Total mass of alcohol / Volume of sample
BAC = 8.765 g / 100 mL = 0.08765 g/mL
Therefore, the blood alcohol concentration of the unknown sample is 0.08765 g/mL.