Final answer:
The correct answer is option 2: 19.6 cm^3. To find the volume of ethanol with a given mass, use the formula Volume = Mass / Density.
Step-by-step explanation:
To find the volume of ethanol with a given mass, we can use the formula:
Volume = Mass / Density
Given that the mass of ethanol is 15.5 grams and the density is 0.789 g/cm^3, we can plug in these values into the formula:
Volume = 15.5 g / 0.789 g/cm^3 = 19.6 cm^3The question asks to calculate the volume of ethanol that has a mass of 15.5 grams, given that the density of ethanol is 0.789 g/cm3 at 20°C. To find the volume, we use the formula for density which is density = mass/volume, or rearranged to find volume, volume = mass/density. Using the density of ethanol, 0.789 g/cm3, we divide the mass of ethanol, 15.5 grams, by this density.
Volume = 15.5 g / 0.789 g/cm3 = 19.6 cm3
Therefore, the volume of ethanol that has a mass of 15.5 grams is 19.6 cm3, which corresponds to option 2.