Calculate the mass of the air contained in a room that measures 2.50 m * 5.50 m * 3.00 m (density of air = 1.29 g/dm³ at 25^$\circ$C). A) 3.13 * 10^-5 g B) 32.0 kg C) 53.2 kg D) 53.2 g E) None of the above.

Question

Quizplus · Accepted Answer

First, we need to convert the dimensions of the room to dm:
2.50 m = 250 dm
5.50 m = 550 dm
3.00 m = 300 dm

Next, we can calculate the volume of the room:
V = l x w x h
V = 250 dm x 550 dm x 300 dm
V = 41,250,000 dm³

Using the density of air at 25°C, we can calculate the mass of the air:
density = 1.29 g/dm³
mass = density x volume
mass = 1.29 g/dm³ x 41,250,000 dm³
mass = 53,175,000 g

Finally, we need to convert the mass to the proper units:
53,175,000 g = 53.2 kg

Therefore, the answer is C.

Calculate the Mass of the Air Contained in a Room ∘\circ∘

Calculate the Mass of the Air Contained in a Room $\circ$