A student measure 9.43 mL of an unknown liquid in a graduated cylinder. The mass of the empty cylinder is 34.670 g, and the mass of the cylinder and liquid is 44.197 g. What is the density of the unknown liquid? (remember significant figures and units in your answer)

Question

A student measure 9.43 mL of an unknown liquid in a graduated cylinder. The mass of the empty cylinder is 34.670 g, and the mass of the cylinder and liquid is 44.197 g. What is the density of the unknown liquid? (remember significant figures and units in your answer)

Answer 1

Step 1: Calculate the mass of the liquid

Mass of the cylinder and liquid = 44.197 g
Mass of the empty cylinder = 34.670 g

Mass of the liquid = Mass of the cylinder and liquid - Mass of the empty cylinder
= 44.197 g - 34.670 g
= 9.527 g

Step 2: Calculate the density

Density = Mass / Volume

Since we already know the mass of the liquid, we need to calculate the volume.

The student measured the volume of the liquid using a graduated cylinder, which has a volume of 9.43 mL.

Convert the volume from mL to L:

Volume = 9.43 mL * (1 L / 1000 mL)
= 0.00943 L

Density = Mass / Volume
= 9.527 g / 0.00943 L
≈ 1011.3 g/L

Step 3: Round the answer to the correct number of significant figures

The given values have the same number of significant figures (4), so the density should be rounded to 4 significant figures.

Density ≈ 1011 g/L (rounded to 4 significant figures)

Therefore, the density of the unknown liquid is approximately 1011 g/L.

Answer 2

To find the density of the unknown liquid, we need to use the formula:

Density = Mass / Volume

We are given the mass of the empty cylinder, the mass of the cylinder and liquid, and the volume of the liquid.

First, let's find the mass of the liquid by subtracting the mass of the empty cylinder from the mass of the cylinder and liquid:

Mass of liquid = Mass of cylinder and liquid - Mass of empty cylinder

Mass of liquid = 44.197 g - 34.670 g = 9.527 g

Next, we can calculate the density using the formula:

Density = Mass / Volume

Density = 9.527 g / 9.43 mL

Now, we need to make sure we have the same units for both mass and volume. 1 mL of water is equal to 1 gram, so we can proceed without further conversion.

Density = 9.527 g / 9.43 mL

Finally, let's plug in the values and calculate the density:

Density = 1.012 g/mL

Since we are looking for the answer in significant figures and units, the density of the unknown liquid is 1.012 g/mL.

Answer 3

mass liquid = 44.197-34.670 = ? grams

Then density = mass/volume. Note volume is given in the problem.