Final answer:
The mass of the air in a typical house of 150 m² floor area with 2.5 m ceiling height is approximately 459.375 kg. This amount is calculated based on the volume of air inside the house and the density of air. It would not be possible for a person to lift this mass if it were converted to bags of rocks due to its immense weight.
Step-by-step explanation:
The question we are addressing involves calculation based on the characteristics of air within a household space. To determine the mass of the air in the house, we need to know the volume of the house and the density of air.
Volume of the house = floor area × floor-to-ceiling height = 150 m² × 2.5 m = 375 m³
The density of air is approximately 1.225 kg/m³ at room temperature and sea level. Therefore, mass = volume × density.
Mass of the air = 375 m³ × 1.225 kg/m³ = 459.375 kg
This calculation tells us that there is roughly 459.375 kg of air within a typical house with the provided dimensions. Considering the physical limits of human strength, lifting this much mass equivalent to bags of rocks would be impossible for an individual, as it far exceeds the lifting capacity of a person.