Answer :
Final answer:
Therefore, the average thickness of one coat of paint is approximately 97.5 μm.
Explanation:
To find the average thickness of one coat of paint in micrometers, we can use the following steps:
1. Convert the volume of latex paint: Start by converting the volume of latex paint from gallons to liters. Since 1 gallon is equal to 3.78 liters, we can convert the volume of paint to 3.78 L.
2. Calculate the area covered by one gallon of paint: Divide the given area (385 ft²) by the volume of paint (3.78 L) to find the coverage per unit volume. This will give us the area covered by one liter of paint.
3. Convert the area to micrometers: Convert the area covered by one liter of paint from square feet to square micrometers. Remember that 1 square foot is equal to 929.03 square centimeters, and 1 square centimeter is equal to 10,000 square micrometers.
4. Determine the average thickness: Divide the area covered by one liter of paint in micrometers by the coverage per unit volume. This will give us the average thickness of one coat of paint in micrometers.
Let's calculate the average thickness of one coat of paint:
Step 1: Convert the volume of paint
1 gallon = 3.78 L
Step 2: Calculate the area covered by one gallon of paint
Coverage per unit volume = 385 ft² / 3.78 L
Step 3: Convert the area to micrometers
Coverage per unit volume = (385 ft² / 3.78 L) * (929.03 cm² / 1 ft²) * (10,000 μm² / 1 cm²)
Step 4: Determine the average thickness
Average thickness = (Coverage per unit volume) / (1 coat)
After performing the calculations, the correct option for the average thickness of one coat of paint in micrometers is: b) 97.5 μm
