Final answer:
The density of an irregularly shaped object is calculated by dividing its mass by its displaced volume when submerged in water. For the given 90.5 g object, the density is 17.1 g/mL. The same method can determine that a piece of jewelry with a mass of 132.6 g and a volume of 12.6 mL has a density of 10.52 g/mL, suggesting it might be made of silver.
Step-by-step explanation:
To calculate the density of an irregularly shaped object, we first need to find the object's volume. The volume is determined by measuring the water displacement in a graduated cylinder. In this problem, the object's mass is 90.5 g and it increases the water volume from 27.4 mL to 32.7 mL. Therefore, the volume of the object is 32.7 mL - 27.4 mL = 5.3 mL. Then, we use the formula for density:
Density = Mass ÷ Volume
The mass of the object is given as 90.5 g, so we divide this by the volume of 5.3 mL:
Density = 90.5 g ÷ 5.3 mL = 17.1 g/mL
The correct answer is D) 17.1 g/mL.
Using the process above, let's answer the question:
Calculate the density of a large piece of jewelry:
(a) The density calculation would follow the same process as described early. The mass of the jewelry is 132.6 g and the volume change in the graduated cylinder is 61.2 mL - 48.6 mL = 12.6 mL, which is the volume of the jewelry. The density would therefore be:
Density = Mass ÷ Volume = 132.6 g ÷ 12.6 mL = 10.52 g/mL
(b) If the jewelry is made from only one substance, the density can help us hypothesize what that substance could be. By comparing the calculated density with known densities of materials, we might conclude that the jewelry could be made of silver, which has a density close to 10.49 g/cm³.