Q:

A 150 no container can hold 23.6 g of aluminum what is the density of the aluminum?The density of mercury is 13.6g/cm3 at 23c what is the volume of a container that can hold 3.2 g of mercury at this temperature?What is the mass of iron that has a density of 4.9g/cm3 in a 250ml beaker? Could you show your work and explain how to do it I'm not sure how to do this

Accepted Solution

A:
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 gStep-by-step 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