1) If a bottle of olive oil contains 1.3 kg of olive oil, what is the volume, in milliliters, of the olive oil? Express your answer to two significant figures and include the appropriate units. 2) A cannon ball made of iron has a volume of 116 cm^3. What is the mass, in kilograms, of the cannon ball? Express your answer to three significant figures and include the appropriate units. 3) A balloon filled with helium has a volume of 6.1 L. What is the mass, in grams, of helium in the balloon? Express your answer to two significant figures and include the appropriate units.

1) 1.4 × 10³ mL

2) 0.913 kg

3) 1.1 g

Explanation:

1)

Step 1: Calculate the volume of 1.3 kg of olive oil

The density of olive oil is 0.917 kg/L.

1.3 kg × (1 L/0.917 kg) = 1.4 L

Step 2: Convert the volume to mL

We will use the relationship 1 L = 10³ mL.

1.4 L × (10³ mL/1 L) = 1.4 × 10³ mL

2)

Step 1: Calculate the mass of the cannon ball

The density of iron is 7.87 g/cm³.

116 cm³ × 7.87 g/cm³ = 913 g

Step 2: Convert the mass to kg

We will use the relationship 1 kg = 10³ g.

913 g × (1 kg / 10³ g) = 0.913 kg

3)

Step 1: Calculate the mass of the helium in the balloon

The density of balloon is 0.18 g/L.

6.1 L × 0.18 g/L = 1.1 g