When a 1.1 gram ice cube is placed into a 10.0 mL graduated cylinder, the level of water inside the graduated cylinder raises 1.20 mL. What is the Density of the ice cube?

My Work: Density = 1.1g/10.0 mL + 1.20 mL?
my answer came out to be; Density= .0982 g/mL

There is a law called the Law of impenetrability which says that two objects can't occupy the same space at the same time. What this means is that the volume of the water in the graduated cylinder will rise an amount equal to the volume of the ice cube; i.e., the ice cube displaces its own volume. Since the water level was raised by 1.20 mL that means the volume is 1.2 mL so the density is mass/volume = 1.1g/1.20 mL = ? If your prof is picky about significant figures you should note that you are allowed only two (from the 1.1) so the answer should be rounds to two s.f.I ran this quickly on my calculator to obtain 0.916 which I would round to 0.92 which is about 10x larger than your answer.

To find the density of the ice cube, you need to divide the mass of the ice cube by its volume.

Given:
Mass of the ice cube = 1.1 grams
Volume of water displaced = 1.20 mL

Step 1: Calculate the volume of the ice cube.
The volume of the ice cube is equal to the volume of water displaced in the graduated cylinder. Therefore, the volume of the ice cube is 1.20 mL.

Step 2: Calculate the density of the ice cube.
Density = Mass/Volume
Density = 1.1 grams / 1.20 mL

Performing the calculation:
Density = 0.92 grams/mL

So, the density of the ice cube is 0.92 grams/mL.

To calculate the density of the ice cube, you need to find the mass and volume of the ice cube separately.

1. Find the mass of the ice cube:
Given that the mass of the ice cube is 1.1 grams.

2. Find the volume of the ice cube:
The volume of the ice cube can be determined by subtracting the initial volume of water in the graduated cylinder from the final volume after adding the ice cube. In this case, the water level inside the graduated cylinder raises by 1.20 mL, so the volume of the ice cube would be 1.20 mL.

3. Calculate the density:
Density is defined as mass divided by volume. So, divide the mass of the ice cube (1.1 g) by the volume of the ice cube (1.20 mL) to get the density:

Density = mass/volume
= 1.1 g/1.20 mL

Now simplify the calculation:

Density ≈ 0.92 g/mL

Therefore, the density of the ice cube is approximately 0.92 g/mL.