a layer of ice has an area of 35m2 and is 2.5cm thick and is -7.5'c. how much water (in kilograms) is needed to melt the ice?
To calculate the amount of water needed to melt the ice, we need to determine the volume of ice first and then convert it to mass using the density of ice. Here's how to do it step by step:
Step 1: Calculate the volume of ice:
The volume of ice is equal to the product of the area and thickness. The given area is 35 m², and the thickness is 2.5 cm. However, to perform the calculation, we need to convert the thickness to meters:
Thickness (in meters) = 2.5 cm / 100 (since there are 100 cm in 1 meter)
= 0.025 meters
Volume of ice = Area × Thickness
= 35 m² × 0.025 meters
= 0.875 m³
Step 2: Convert volume to mass using the density of ice:
The density of ice is approximately 917 kg/m³. Multiplying the density by the volume of ice will give us the mass:
Mass of ice = Volume of ice × Density of ice
= 0.875 m³ × 917 kg/m³
≈ 801.875 kg
So, approximately 801.875 kilograms of water would be needed to melt the given layer of ice.