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°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 from meters to decimeters: 2.50 m × 5.50 m × 3.00 m = 250 dm × 550 dm × 300 dm. The volume of the room is then calculated by multiplying these dimensions: V = 4.125 × 10^7 dm^3.
Next, we can calculate the mass of the air using the density of air given in the question: 
mass = density × volume = 1.29 g/dm^3 × 4.125 × 10^7 dm^3 = 5.3225 × 10^7 g = 53.225 kg. 
Therefore, the best choice is C.

Calculate the Mass of the Air Contained in a Room