Answer:
# The density of the aluminum is 59/375 ≅ 0.157 g/cm³
# The volume of the container is 4/17 ≅ 0.235 cm³
# The mass of iron is 1225 g
Explanation:
* Lets explain how to solve the problem
- Density is a measurement that compares the amount of matter
of an object to its volume [ Density = mass/volume]
- Density is found by dividing the mass of an object by its volume
- The unit of measuring density is gram per centimeter³ (milliliter)
* Lets solve the problems
# A container of volume 150 cm³ can hold 23.6 g of aluminum
∵ Density = mass/volume
∵ The mass = 23.6 g
∵ The volume = 150 cm³
∴ The density = 23.6/150 = 59/375 ≅ 0.157 g/cm³
* The density of the aluminum is 59/375 ≅ 0.157 g/cm³
# The density of mercury is 13.6 g/cm³ at 23 C°
- A container can hold 3.2 g of mercury at this temperature
∵ Density = mass/volume
∵ The mass = 3.2 g
∵ The density = 13.6 g/cm³
∴ 13.6 = 3.2/volume
- By using cross multiplication
∴ The volume = 3.2/13.6 = 4/17 cm³
* The volume of the container is 4/17 ≅ 0.235 cm³
# The density of the iron is 4.9 g/cm³
- The beaker has a volume 250 ml
∵ Density = mass/volume
∵ The ml = cm³
∴ The volume of the beaker is 250 cm³
∵ The density = 4.9 g/cm³
∴ 4.9 = mass/250
- Multiply both sides by 250
∴ mass = 1225 g
* The mass of iron is 1225 g