Answer to Question #341148 in General Chemistry for Wizbrown188

Question

A particular paint has a density of 0.914g/cm3. You need to cover a wall that is 7.6m long and 2.74m high with a paint layer 0.13mm thick. What volume of paint (in litres) is required? What is the mass (in grams) of the paint layer?

Answer 1

Solution:

Density of paint = 0.914 g cm⁻³ = 914 kg m⁻³

Volume of paint = Long × High × Thick

Volume of paint = (7.6 m) × (2.74 m) × (0.00013 m) = 0.002707 m³

Volume of paint = (0.002707 m³) × (1000 L / 1 m³) = 2.707 L

Volume of paint = 2.707 L

Density = Mass / Volume

Therefore,

Mass of paint layer = Density of paint × Volume of paint

Mass of paint layer = (914 kg m⁻³) × (0.002707 m³) = 2.4742 kg

Mass of paint layer = (2.4742 kg) × (1000 g / 1 kg) = 2474.2 g

Mass of paint layer = 2474.2 g

Answer:

The volume of paint is 2.707 L

The mass of the paint layer is 2474.2 grams