Question

Some aluminum pellets are placed into a graduated cylinder containing 50.0 mL of water. If the combined volume of the aluminum pellets and water is 67.1 mL, calculate the mass of the aluminum pellets in grams. Show your work! Hint: Aluminum has a density of 2.70 g/mL.Some aluminum pellets are placed into a graduated cylinder containing 50.0 mL of water. If the combined volume of the aluminum pellets and water is 67.1 mL, calculate the mass of the aluminum pellets in grams. Show your work! Hint: Aluminum has a density of 2.70 g/mL.

Answer 1

To calculate the mass of the aluminum pellets, we'll use the density formula:

`Density=(mass)/(volume)`

Given that the density of aluminum is
`2.70g/mL,` and the volume of the combined aluminum pellets and water is
`67.1 mL,` we can calculate the volume of water as well by subtracting the initial volume of the water (50.0 mL) from the combined volume:

`Volume of water = combined volume - initial water volume = 67.1 mL - 50.0 mL = 17.1 mL`

Now, let's calculate the mass of the aluminum pellets using the density formula:

`Density of alumium=(mass of alumium)/(volume of alumium)`

Solving for the mass of aluminum:

`Mass of aluminum = density of aluminum`×
`volume of aluminum`

We can substitute the given values:

Mass of aluminum = density of aluminum × volume of aluminum

We can substitute the given values:

mass of aluminum = (2.70 g/mL) × (67.1 mL - 17.1 mL)

mass of aluminum = 2.70 g/mL × 50.0 mL

mass of aluminum = 135 g

So, the mass of the aluminum pellets is