Final answer:
To determine the mass of air inside a typical house with a floor area of 150 m² and a ceiling height of 2.5 m, we calculate the volume of the house and use the density of air to find the mass. The mass of air equals to 459.375 kg, which is too heavy to lift by an average person in the form of rock bags.
Step-by-step explanation:
Habitable spaces shall have a ceiling height of not less than 7 feet. However, for the purpose of calculating the mass of air in a house based on the given dimensions, we don't need to specify the minimum ceiling height. Instead, we use the volume of the house to determine the mass of the air inside. Given the typical floor-to-ceiling height of 2.5 meters and a floor area of 150 m² (1,600 square feet), we can calculate the volume of the house.
The formula for calculating volume is:
Volume = Area × Height
By substituting the given values:
Volume = 150 m² × 2.5 m = 375 cubic meters
The density of air at sea level is approximately 1.225 kg/m³. To find the mass of air, we multiply the volume of the house by the density of the air:
Mass of air = Volume × Density of air
Mass of air = 375 m³ × 1.225 kg/m³ = 459.375 kg
This mass is equivalent to the mass of air inside the house. Considering the average person can lift about 25 kg at once, lifting 459.375 kg of mass, if it were to be represented as bags of rocks, would not be feasible for an individual to lift all at once.