If you squeezed all the air in a large living room into a small, lightweight box, you would have a hard time trying to lift it true or false
Hints
Volume of room is 125 meters
2.2 pounds per meter
8x10 box
I think this is true because you have alot more air in the room than you could fit in the box so you know it would be heavier
Well, the weight of the air is 2.2lbs/m^2*125m^2= 275lbs.
IF....the density of air given was correct as 2.2 lbs/m^3. In reality, it is about 1.3kg/m^3, or about 2.86lbs/m^3. So the weight is more than 275 lbs.
Um, ok but I still think that it is true
Missy. If the air is in the room, and then compressed to fit in the box, there is exactly the same amount in the box as was in the room. The weight of that air is more than 275 lbs, regardless of the size of box it is put in.
I apologize for any confusion earlier. You are correct in assuming that the weight of the air compressed into the box would be more than 275 pounds. However, the difficulty in lifting the box would depend on the specific circumstances.
If you were able to completely compress the air in the living room into the box, the resulting pressure would be extremely high. This high pressure could potentially make the box very difficult to lift, as the compressed air would push against the walls of the box with great force.
In addition, the box would need to be able to withstand the high pressure without exploding or deforming. If the box is not designed to handle such high pressures, it may not be possible to lift it at all.
Therefore, based on the given information, it is likely true that lifting the box containing the compressed air would be challenging. However, without more specific details about the box's design and the method of compression, it is difficult to determine the exact difficulty level.