Final answer:
To find the volume of an 80.7 gram gold chain, divide the mass by the density of gold, which is 19.3 g/cm³, yielding the volume in cubic centimeters.
Step-by-step explanation:
To determine the volume of a gold chain with a mass of 80.7 grams, we use the density of gold. The density (d) of gold is 19.3 g/cm³, which is the mass-to-volume ratio. We can calculate volume (V) using the formula V = m/d, where m is mass and d is density. Thus, the volume of the gold chain is V = 80.7 g / 19.3 g/cm³.
After dividing the mass of the gold chain by the density, we find the volume of the gold chain in cubic centimeters (cm³). Given that the density of gold is constant, if the gold chain had a different mass, the volume could easily be recalculated using the same density value.
When dealing with such calculations, it is important to ensure that the units are consistent, with mass in grams and volume in cm³, so that when we perform the division, the units behave as expected.