Final answer:
To calculate the mass of water displaced by a 2 kg brick with a density of 2.5 g/cm³, convert the density to SI units, find the volume of the brick, and multiply by the density of water to get the mass of water displaced, which is 0.8 kg.
Step-by-step explanation:
The student is asked to find the mass of water displaced by a brick when it is immersed in water. Given that the mass of the brick is 2 kg and the density of the brick is 2.5 g/cm³, we can calculate the volume of the brick using the formula density = mass/volume, and from there, we can determine the mass of water displaced, because for an object submerged in water, the volume of water displaced is equal to the volume of the object. First, we will convert the density of the brick to kg/m³, which is the SI unit for density, by multiplying with 1000 to convert grams to kilograms and with 1000³ to convert cm³ to m³, giving us 2500 kg/m³. Then, we calculate the volume of the brick: volume = mass/density, which is 2 kg / 2500 kg/m³ = 0.0008 m³. Since the water displaced has the same volume as the brick, and the density of water is 1 g/cm³ or 1000 kg/m³, the mass of the water displaced is the volume of the brick times the density of water, which is 0.0008 m³ * 1000 kg/m³ = 0.8 kg.