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2 votes
Medium-large (size of house or room)

A. Ample
B. Petite
C. Massive
D. Adequate

User Tsega
by
8.4k points

2 Answers

3 votes

Final answer:

The mass of the air inside a house with a 150 m² area and 2.5 m height is 450 kg, calculated using the volume and air density. This mass is too heavy for a person to lift if it were in the form of bags of rocks.

Step-by-step explanation:

To calculate the mass of the air inside a house, we can use the room dimensions provided and the density of air. Given a floor area of 150 m² and a floor-to-ceilings height of 2.5 m, we can calculate the volume of the room:

Volume = Area × Height = 150 m² × 2.5 m = 375 m³

The average density of air at room temperature (20 °C) and sea level is approximately 1.2 kg/m³. Therefore, we multiply the room's volume by the density of air to find the mass:

Mass = Volume × Density = 375 m³ × 1.2 kg/m³ = 450 kg

Considering that 450 kg is quite a substantial mass, it's highly unlikely for a person to lift that amount if it were handed to them as bags of rocks. The weight is beyond the lifting capacity of most individuals.

User Justin Pollard
by
8.0k points
7 votes

Final answer:

The mass of air within a typical house with a floor area of 150 m² and a ceiling height of 2.5 m is approximately 450 kg, which would be impossible for a person to lift manually.The correct option is c.

Step-by-step explanation:

To calculate the mass of the air within a house, we'll use the formula for the mass of air in a given volume, which is mass = density × volume. The typical density of air at room temperature (20°C) and at sea level is approximately 1.2 kg/m³. Given that the floor area of the house is 150 m² and the floor-to-ceiling distance (height) is 2.5 m, the volume of air in the house is 150 m² × 2.5 m = 375 m³.

Therefore, the mass of air is approximately 1.2 kg/m³ × 375 m³ = 450 kg. Considering that it's generally impossible for a person to lift 450 kg as it greatly exceeds human lifting capacities, one could not lift this mass if handed as bags of rocks. Lifting such a weight typically requires mechanical assistance.The correct option is c.

User Papafe
by
8.3k points