Pure aluminum has density 2.70g/cm^3. If we add a solid aluminum cylinder to a graduated cylinder containing 19.2 of water, and the water level in the cylinder rises to 24.7 ml, what is the mass of the aluminum cylinder?

Question

Pure aluminum has density 2.70g/cm^3. If we add a solid aluminum cylinder to a graduated cylinder containing 19.2 of water, and the water level in the cylinder rises to 24.7 ml, what is the mass of the aluminum cylinder?

Answer 1

mass = volume x density

mass = ?
density = 2.70 g/cc
volume = 24.7-19.2 = ?mL = which is same as ?cc.

Answer 2

.01485 kilograms

Answer 3

To find the mass of the aluminum cylinder, we can use the following formula:

Mass = Density x Volume

First, let's calculate the volume of the water that was displaced by the aluminum cylinder:

Volume of water displaced = Final volume - Initial volume
= 24.7 mL - 19.2 mL
= 5.5 mL

Since 1 mL of water has a mass of 1 gram, the mass of the water displaced is also 5.5 grams.

Now, we can find the volume of the aluminum cylinder using the density:

Density of aluminum = 2.70 g/cm³

The volume of the aluminum cylinder can be calculated as:

Volume of aluminum = Mass of aluminum / Density of aluminum

Since we have the mass of the water displaced, we can consider that to be the mass of the aluminum cylinder:

Mass of aluminum = Mass of water displaced = 5.5 grams

Therefore, the mass of the aluminum cylinder is 5.5 grams.

Answer 4

To find the mass of the aluminum cylinder, we need to determine the difference in volume between the initial water volume and the final volume after adding the cylinder. Since we already know the density of pure aluminum, we can use this information to calculate its mass.

First, let's find the volume of water displaced by the aluminum cylinder. The change in volume can be calculated using the formula:

Change in volume = Final volume - Initial volume

Change in volume = 24.7 ml - 19.2 ml = 5.5 ml

Now, we can convert this volume into cm^3, as the density of aluminum is given in g/cm^3. Since 1 ml is equivalent to 1 cm^3, we have:

Change in volume = 5.5 cm^3

Next, we can use the density of aluminum to find the mass of the cylinder. The formula to calculate mass using density is:

Mass = Density x Volume

Mass = 2.70 g/cm^3 x 5.5 cm^3

Mass = 14.85 g

Therefore, the mass of the aluminum cylinder is 14.85 grams.