Question

sink or float?
use the diagram to answer questions #1-5.

1. which liquid in the diagram is the most dense?
2. how do you know that liquid is the most dense?
3. how many liquids in the cylinder are less dense than water?
4. which is more dense, olive oil or corn syrup?
5. what do you think would happen if the amount of rubbing alcohol at the top were doubled?
6. water has a density of 1.00 g/ml. which of the liquids in the table to the right would float on top of water?

liquid | density (g/ml)
chloroform | 1.49
alcohol | 0.79
gasoline | 0.67

1. what type of wood sinks in water?

type of wood | density (g/ml)
african teakwood | 0.98
balsa | 0.14
cedar | 0.55
ironwood | 1.23

1. if a block of wood has a mass of 49 g and a volume of 50 ml, what kind of wood is it?
2. wood from a balsa tree has a density of 0.14 g/ml. if an entire balsa tree, with a mass of 2000 kg, fell into a lake, would it float or sink?
3. why?

Explanation:

Question 6:

Step 1: Recall Density of Water

Water's density is \(1.00 \, \text{g/mL}\). A liquid floats on water if its density is less than \(1.00 \, \text{g/mL}\), sinks if greater.

Step 2: Compare Liquid Densities

• Chloroform: \(1.49 \, \text{g/mL}\) (greater than \(1.00\), sinks)
• Alcohol: \(0.79 \, \text{g/mL}\) (less than \(1.00\), floats)
• Gasoline: \(0.67 \, \text{g/mL}\) (less than \(1.00\), floats)

Step 1: Recall Water's Density

Water has density \(1.00 \, \text{g/mL}\). Wood sinks if its density \(>\!1.00 \, \text{g/mL}\), floats if \(<\!1.00 \, \text{g/mL}\).

Step 2: Check Wood Densities

• African Teakwood: \(0.98 \, \text{g/mL}\) (\(<\!1.00\), floats)
• Balsa: \(0.14 \, \text{g/mL}\) (\(<\!1.00\), floats)
• Cedar: \(0.55 \, \text{g/mL}\) (\(<\!1.00\), floats)
• Ironwood: \(1.23 \, \text{g/mL}\) (\(>\!1.00\), sinks)

Step 1: Recall Density Formula

Density formula: \(
ho = \frac{m}{V}\), so \(m =
ho \times V\). Given \(V = 50 \, \text{mL}\), calculate mass for each wood.

Step 2: Calculate Mass for Each Wood

• African Teakwood: \(m = 0.98 \, \text{g/mL} \times 50 \, \text{mL} = 49 \, \text{g}\)
• Balsa: \(0.14 \times 50 = 7 \, \text{g}\)
• Cedar: \(0.55 \times 50 = 27.5 \, \text{g}\)
• Ironwood: \(1.23 \times 50 = 61.5 \, \text{g}\)

Answer:

Alcohol and Gasoline (their densities \(0.79 \, \text{g/mL}\) and \(0.67 \, \text{g/mL}\) are less than water’s \(1.00 \, \text{g/mL}\))

Question 7: