56.5k views
5 votes
When an appraisal is performed on a single-family home, to determine living area, the appraiser measures:

User Mescarra
by
9.0k points

1 Answer

2 votes

Final answer:

The mass of air in a typical house with a 150 m² floor area and a ceiling height of 2.5 m is approximately 459.375 kg, which is too heavy for a person to lift if given as bags of rocks.

Step-by-step explanation:

When appraising a single-family home's living area, an appraiser measures the interior floor space to determine its square footage. To calculate the mass of the air inside a typical house with a floor area of 150 m² and a floor-to-ceiling height of 2.5 m, we use the volume of the house and the density of air.

Firstly, the volume can be calculated by multiplying the floor area with the height: 150 m² * 2.5 m = 375 m³. Assuming the density of air is approximately 1.225 kg/m³ at sea level and at 15°C, we calculate the mass by multiplying the volume by the density: 375 m³ * 1.225 kg/m³ = 459.375 kg.

It would be impossible for a person to lift this much mass if it were handed to them as bags of rocks, as this equates to nearly half a ton, which is far beyond human lifting capacity.

User CrazyTim
by
7.8k points