Question

1. 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?

(table: liquid, density: chloroform 1.49 g/ml, alcohol 0.79 g/ml, gasoline 0.67 g/ml)

1. what type of wood sinks in water?

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

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 2,000 kg, fell into a lake, would it float or sink?
3. why?

Explanation:

Question 6:

Step1: Recall floating principle

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

Step2: Compare densities

• Chloroform: $1.49\ \text{g/mL} > 1.00\ \text{g/mL}$ (sinks)
• Alcohol: $0.79\ \text{g/mL} < 1.00\ \text{g/mL}$ (floats)
• Gasoline: $0.67\ \text{g/mL} < 1.00\ \text{g/mL}$ (floats)

Step1: Recall sinking principle

Wood sinks in water if its density > \(1.00\ \text{g/mL}\).

Step2: Check wood densities

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

Step1: Use density formula

Density formula: \(
ho = \frac{m}{V}\), where \(m = 49\ \text{g}\), \(V = 50\ \text{mL}\).

Step2: Calculate density

\(
ho = \frac{49\ \text{g}}{50\ \text{mL}} = 0.98\ \text{g/mL}\).

Step3: Match with wood types

African Teakwood has density \(0.98\ \text{g/mL}\).

Answer:

Alcohol and Gasoline (since 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: