Final answer:
The volume of 1 troy ounce of pure gold can be calculated using the density formula, resulting in approximately 1.61 cm³, which is closest to the 1.60 cm³ option not listed among the given choices.
Step-by-step explanation:
To find the volume of 1 troy ounce of pure gold, we use the concept of density, which is the mass-to-volume ratio of a substance. The density of gold is 19.3 g/cm³, which means that one cubic centimeter of gold has a mass of 19.3 grams.
We start with the mass of gold in one troy ounce, which is 31.103 grams. To calculate the volume in cubic centimeters, we use the formula:
Volume = Mass / Density
Substitute the given mass and density into the formula:
Volume = 31.103 g / 19.3 g/cm³ = 1.61 cm³
This value is not listed in the multiple-choice options, possibly due to a typing error in the question. However, the closest value from the options provided is 1.60 cm³