3) A graduated cylinder has 25.0mL of water in it before an aluminum cube with the mass of 10.0g is added to it. What is the new level of water in the cylinder?
mass = volume x density or
volume = mass/density
You know mass and density is 2.70 g/mL.
Solve for volume, then add that to 25.0 mL
28.7 ml
To find the new level of water in the graduated cylinder after adding the aluminum cube, we need to consider the displacement of water caused by the cube.
The volume of the aluminum cube can be calculated using its mass and density. The density of aluminum is approximately 2.7 g/cm³. Since the mass of the cube is given as 10.0 g, we can use the formula:
Volume = Mass / Density
Substituting the values:
Volume = 10.0 g / 2.7 g/cm³
Volume ≈ 3.70 cm³
Now, we need to find the change in volume of water in the graduated cylinder after adding the aluminum cube. We can subtract the volume of the cube from the initial volume of water.
Change in Volume = Volume of Cube
Change in Volume = 3.70 cm³
Since 1 mL is equal to 1 cm³, the change in volume is 3.70 mL.
Finally, we can find the new level of water in the graduated cylinder by adding the volume of the cube to the initial level of water.
New Level of Water = Initial Level of Water + Change in Volume
New Level of Water = 25.0 mL + 3.70 mL
New Level of Water ≈ 28.70 mL
Therefore, the new level of water in the graduated cylinder is approximately 28.70 mL.
To find the new level of water in the cylinder after adding the aluminum cube, we need to consider the volume of the cube.
The volume of the cube can be calculated by dividing its mass by its density. However, first we need to determine the density of aluminum. The density of aluminum is typically around 2.70 g/mL.
To calculate the volume of the aluminum cube, we divide its mass by its density:
Volume = Mass / Density
Volume = 10.0g / 2.70 g/mL
Volume ≈ 3.70 mL
So, the volume of the aluminum cube is approximately 3.70 mL.
When the cube is added to the graduated cylinder, the total volume will increase by this amount.
Therefore, the new level of water in the cylinder will be the initial level of the water plus the volume of the aluminum cube, which is:
New Level = Initial Level + Volume of Aluminum Cube
New Level = 25.0 mL + 3.70 mL
New Level ≈ 28.70 mL
The new level of water in the cylinder, after adding the aluminum cube, is approximately 28.70 mL.