Final answer:
The mass of the air inside a typical house with a floor area of 150 m² and a height of 2.5 m is calculated to be 459.375 kg, using the density of air. This mass is too heavy to be lifted by an average person if given in the form of bags of rocks.
Step-by-step explanation:
The question asks for the calculation of the mass of the air inside a typical house with a floor area of approximately 150 m² and a floor-to-ceiling distance of 2.5 m. To determine the mass of the air, we first need to calculate the volume of the room and then apply the density of air to find the mass.
The volume V of the house is given by the product of its floor area A and its height h:
V = A × h = 150 m² × 2.5 m = 375 m³
The density ρ (rho) of air at sea level and at 15 ºC is approximately 1.225 kg/m³. Thus, the mass m of the air is:
m = ρ × V = 1.225 kg/m³ × 375 m³ = 459.375 kg
Considering the mass of the air inside the house is 459.375 kg, it would not be feasible for a person to lift this amount of mass if it were handed to them as bags of rocks, since it far exceeds the lifting capacity of the average human.