Final answer:
The mass of the air inside a typical house with a volume of 375 m³ and an air density of 1.225 kg/m³ is 459.375 kg, which is too heavy for an average person to lift.
Step-by-step explanation:
To calculate the mass of the air within a house we first need to determine the volume of the house. Based on the dimensions provided, we have a house with a floor area of 150 m² and a floor-to-ceiling height of 2.5 m. The volume of the house can be calculated by multiplying the area by the height:
Volume = Area × Height = 150 m² × 2.5 m = 375 m³
Air density at room temperature is approximately 1.225 kg/m³. To find the mass of the air, we multiply the volume by the density of the air:
Mass = Volume × Density = 375 m³ × 1.225 kg/m³ = 459.375 kg
This is equivalent to the mass of the air inside the typical house. Since an average person cannot lift this much mass (equivalent to 459.375 bags of rocks, if each bag was 1 kg), it would not be possible for someone to lift this mass if handed to them.