Final answer:
The mass of air within a house with dimensions 13.0 m wide by 20.0 m long by 2.75 m high is approximately 858 kg, assuming air density of 1.2 kg/m³.
Step-by-step explanation:
The question relates to the topic of physics, specifically involving calculations of the mass of air within a house and its relation to the volume of the house. To calculate the mass of air in a house, we need to know the volume of the house and the density of the air. Let's assume a house with inside dimensions of 13.0 m wide by 20.0 m long by 2.75 m high. The volume of the house is then calculated by multiplying these dimensions:
- Volume = Length x Width x Height
- Volume = 13.0 m x 20.0 m x 2.75 m
- Volume = 715 m³
The density of air at sea level and at 20°C is approximately 1.2 kg/m³. Therefore, the mass of air in the house can be calculated by multiplying the volume by the density:
- Mass of air = Volume x Density
- Mass of air = 715 m³ x 1.2 kg/m³
- Mass of air = 858 kg
This mass of air, equivalent to 858 kg, would be too heavy for a person to lift if it were handed over as bags of rocks, considering that the average person can lift a weight of up to 25 kg comfortably.